Glossary

Milgrom's acceleration constant, observed ≈ 1.2×10⁻¹⁰ m/s²; cH₀/(2π) ≈ 1.04×10⁻¹⁰ at H₀ = 67.4 (~13% below).

In MOND, this is a fundamental constant. Synchronism writes it as cH₀/(2π) — but that is a rewriting of a numerical coincidence Milgrom noted in 1983 (a₀ is close to cH₀; the prefactor varies by author, and 1/2π vs 1/6 differ by ~5%), not an independent derivation. The site’s audited verdict is Reparametrization: the relation is real, shared with MOND-adjacent literature (McCulloch, Verlinde, Smolin), and predicts nothing MOND doesn’t. (Glossary entry rewritten 2026-07-17 to match the audited framing — an earlier version called this “one of Synchronism’s strongest results,” which contradicted the landing page and Honest Assessment.)

The acceleration scale in the acceleration-keyed C, x = g_obs/a₀′. It is fitted, not derived. At γ = ½ the law is MOND's simple μ with a₀ = 2a₀′.

Only the combination a₀′/γ is pinned by SPARC, and only when γ is free: it stays at 1.07–1.09×10⁻¹⁰ m/s² across stellar mass-to-light 0.4–0.6 while γ runs 0.28–0.96 and a₀′ moves 3.6×. At pinned γ = ½ it moves 1.44 to 0.87. That combination is the Milgrom-equivalent scale of the deep regime, so compare a₀′/γ, not a₀′, with MOND's a₀ = 1.2×10⁻¹⁰ m/s².

Protocol where AI agents stress-test each other's claims.

One agent defends a claim, another demands operational definitions and falsification criteria. Produces falsifiable test cards and forces precision.

Currently in active research focus; being extended or revised.

MRH-relationship badges describe how a claim sits in the current research inventory, preferred for in-flight work. Active-MRH means the claim is under live investigation. Why the physics word: the archive treats its own research inventory as an MRH, the set of claims currently relevant to the work (the research repo's STATUS.md is its "live MRH-state inventory"). Active-MRH means inside that horizon now; Sidelined means outside it for now. The borrowing is a metaphor. These badges say nothing about the Markov Relevancy Horizon as a physics concept. At the current stewardship stage nothing is honestly characterizable as "established," so verdict-shaped tags like Validated are avoided.

A model-selection score balancing fit quality against the number of parameters. Lower AIC = better model.

AIC = 2k − 2·ln(L), where k is the number of free parameters and L is the maximum likelihood. Unlike BIC, AIC does not penalize parameters as strongly (uses 2k not k·ln(n)). AIC favors models that fit well; BIC also penalizes complexity more. In the Synchronism context, running AIC across the compander family (tanh, Hill/Naka-Rushton, logistic, erf, μ-law) would determine whether the tanh choice is informative or arbitrary. This comparison has not yet been run.

A cross-matched catalog of ~15,000 galaxies combining 21-cm HI gas masses (ALFALFA) with optical properties and environment metrics (SDSS).

ALFALFA (Arecibo Legacy Fast ALFA) mapped HI 21-cm radio emission from nearby galaxies, providing gas masses and rotation widths. Cross-matching with SDSS gives stellar masses, star formation rates, and large-scale environment metrics. The catalog was the registered dataset for Synchronism’s environment-dependent RAR scatter prediction (TEST-03) — but that test was never run as registered: the R² = 0.14 figure long shown as its result is a Hubble-type/morphology term from a ~171-galaxy SPARC-scale sample, misattributed to this catalog (the (R², p, N) triple quoted was internally impossible; corrected 2026-07-09). The registered environment test was finally executed 2026-07-14 on SPARC offsets vs Cosmicflows-4 densities: r² = 0.0001 — the environment prediction is refuted by execution. (Entry synced 2026-07-17.)

An educated guess at the form of an answer, written down first and justified (or not) by whether it works.

Physicists say "ansatz" when they pick a mathematical form because it looks plausible, not because they derived it, and then test it. Synchronism’s tanh(γ·ln(1+ρ/ρ_crit)) is an ansatz in this sense: the site calls it "motivated, not derived" on The Coherence Function. Calling something an ansatz is an honest label, not a criticism; the question is always whether the guessed form survives the data.

The first field-equation form of MOND: a modified Poisson equation, ∇·[μ(|∇Φ|/a₀)∇Φ] = 4πGρ, derived from an action so momentum and energy are conserved.

MOND began as an algebraic rule. AQUAL turns it into a field theory by making the Poisson equation nonlinear in the gradient of the potential. QUMOND (Milgrom 2010) is a later, easier-to-solve variant. On this site AQUAL matters because the framework’s action-derived (L3) dynamics, keyed on the gradient, turns out to be AQUAL with γ relabelled, and because the Cassini test (TEST-25) is run in this family.

Marks an interactive tool, not a prediction: the tool animates a relation the site's own audit found wrong, kept up deliberately so a reader can watch it fail rather than read that it failed. A content label, not a validation badge.

Closed audit finding on a historical track; durable negative result; does not move.

Audited-Negative is the strongest closure badge. It means an explicit audit found the claim false, contradicted by data, or internally inconsistent — and this finding is a permanent part of the record. Examples: A-from-Jeans (closed 2026-06-07: Session 66 script gives A≈4.6×10⁻⁵, 600× off under the framework's own scaling); RAR γ=2 (ΔBIC=+184 with points as independent and Υ frozen; ≈ +11 with the galaxy as the unit; +46 and +2.7 with each law's own Υ: disfavoured at about 2σ).

A characteristic spacing (~150 Mpc) imprinted in galaxy distributions by sound waves in the early universe.

Before the universe cooled enough for atoms to form, matter and light were coupled in a hot plasma. Sound waves propagated through this plasma, and when atoms formed (at "recombination"), these waves froze in place. Today, galaxies are preferentially spaced ~150 Mpc apart — a "standard ruler" used to measure the universe's expansion history. Synchronism's TEST-04 (now withdrawn) predicted a ~10⁻⁴ shift in this spacing between high- and low-density environments.

Protons, neutrons, and everything made of them — the ordinary matter you can touch.

"Baryonic matter" means ordinary matter (atoms, stars, gas, dust) as opposed to dark matter or dark energy. About 5% of the universe's total energy content is baryonic. When galaxy rotation pages mention "baryonic mass" or "baryon density," they mean the mass of ordinary visible matter — the stars, gas, and dust you can actually observe.

The standard theory of conventional superconductivity: electrons form Cooper pairs and condense into a macroscopic quantum state.

BCS theory (Bardeen, Cooper, Schrieffer 1957) explains how phonon-mediated attraction causes electrons to form bound pairs (Cooper pairs) below a critical temperature T_c. Above T_c, electrons behave independently (low coherence). Below T_c, they condense into a macroscopic quantum state with high coherence. In Synchronism's γ Calculator, BCS superconductors are placed in the "Collective" regime with N_corr ≈ 10⁷ (pairs per coherence volume) — but this is a back-fit, not a forward prediction from BCS theory itself.

A state of matter where bosons occupy the same quantum ground state below a critical temperature, forming a macroscopic quantum object.

A Bose-Einstein Condensate (BEC) forms when bosons (integer-spin particles: photons, He-4 atoms, Cooper pairs) are cooled below a critical temperature T_c. Unlike fermions, bosons can occupy the same quantum state, allowing a macroscopic fraction to condense into the ground state. BEC is highly coherent — N_corr is the entire condensate (10⁶–10⁹ atoms). In Synchronism's γ Calculator, BEC is placed in the "Collective" regime, which is correct (high N_corr, classical in Synchronism's non-standard usage). Note: Synchronism uses "Classical" to mean high-coherence collective behavior — the opposite of the standard physics usage.

“Bet” IDs (B1–B7) come from the research repo’s prediction ledger, not from the TEST-01–26 registry. B1 is the Bell/CHSH substrate check.

The research repo keeps a ledger of untested-but-falsifiable “bets” (B1–B7: Bell/CHSH, RAR shape, consciousness threshold, compatibility scaling, f(N), vacuum Umklapp, non-monogamy). They are theory-level claims, separate from the 26 data tests on the Test Roadmap. B1 asked whether a local substrate, measured only through an observer’s phase-lock, can beat the classical CHSH limit of 2 without signalling. It was simulated in 2026-06/07: local arm S = 1.98, nonlocal-grid arm S = 2.0, density substrate S = 1.85. None passes 2. It counts as one of the six refutations, the only one that is a construction check rather than data.

A model-selection score that penalizes free parameters. Lower BIC = better model given data. ΔBIC > 10 is very strong evidence against the weaker model.

BIC = k·ln(n) − 2·ln(L), where k is the number of free parameters, n is the number of data points, and L is the maximum likelihood. The ΔBIC between two models quantifies the evidence in favor of the model with lower BIC. By convention: |ΔBIC| < 2 = negligible evidence, 2–6 = positive evidence, 6–10 = strong evidence, >10 = very strong evidence. In the Synchronism context this comparison has now been run twice: against the MOND RAR interpolating function (2026-05-21: ΔBIC = +184 at γ=2 with points as independent, ≈ +11 with the galaxy as the unit, +46 and +2.7 with each law's own global Υ), and across the full compander family (2026-07-22 form selection on 2,807 SPARC points: tanh indistinguishable from erf-log/Hill/generalized-ν and last of the four viable members; arctan-log, algebraic-log, and Gompertz refuted at ΔBIC +24 to +58 — the data selects asymptotic rates, not a sigmoid). (Entry updated 2026-07-23; an earlier version said this comparison “has not yet been run.”)

The quantum mechanics rule that measurement probabilities equal |ψ|² — the squared amplitude of the wave function.

Standard quantum mechanics: if a system is in state ψ = α|0⟩ + β|1⟩, the probability of measuring outcome "0" is |α|² and "1" is |β|². The Born rule is an axiom of standard QM — it cannot be derived from the Schrödinger equation alone without additional assumptions. Synchronism's /born-rule page attempts to derive it from coherence conservation, but the page's own verdict: "no worse than Zurek's envariance, no better" — the derivation is a Reparametrization. No experimental deviation from |ψ|² is predicted.

The share of catalogued chemical phenomena (about 89% of 1,703 logged sessions; 1,703 is a session counter, not a census) whose behaviour is consistent with the γ ≈ 1 sparse/collective boundary. A descriptive rate, not a verdict; it carries the Template Bias Caveat.

Consistency is not prediction: the rate was computed after the phenomena were catalogued, and about 86% of the consistent cases restate the Debye model (1912) in new notation (research ledger, Bucket 3). The label is rendered in the Reparametrization badge colour on Why Synchronism because that is the verdict the audit reached for the chemistry sector. (Entry added 2026-09-29.)

The standard formula describing a particle resonance: probability amplitude ∝ 1/[(E−M)² + (Γ/2)²], where M is the rest mass and Γ is the decay width.

The Breit-Wigner distribution gives the probability that a particle resonance is observed at energy E, given a true mass M and total decay width Γ. The narrow-width approximation (Γ ≪ M) is the standard condition for a stable resonance appearing as a sharp peak in cross-section data — equivalent to the Källén-Lehmann spectral condition in QFT. Synchronism's entity criterion (Γ < m) is this narrow-width condition. The connection to the PDG resonance catalog: real resonances satisfying Γ < m appear as sharp peaks; borderline cases (σ/f₀(500), ρ(770)) sit at Γ ≈ M. The entity criterion adds an ontological interpretation (entities "exist" only when Γ < m) rather than a new mathematical condition.

Empirical power-law between a galaxy's total baryonic mass and its flat rotation velocity: M_bar ∝ V_flat^n.

The BTFR is one of the tightest empirical relations in galaxy dynamics: baryonic mass (stars + gas) scales as a power law of the asymptotic flat rotation velocity. It is now the framework’s sharpest executed refutation (TEST-09, run 2026-07-14 on 123 SPARC galaxies): the bounded boost caps gravitational amplification at 1/Ω_m = 3.17, forcing a Newtonian deep limit and a predicted slope n = 3.35 ± 0.07 — genuinely different from MOND’s 3.81 ± 0.04. Observed: n = 3.75 ± 0.10 (reproducing Lelli et al. 2019’s 3.85 ± 0.09). The registered kill criterion fired at 3.3σ on the registered point-estimate rule, and no parameter choice rescues it. Two qualifiers: whether TEST-09 counts separately from TEST-10 (both fail on the same boost cap) is pending the project lead, and the significance is definition-dependent (≈1.2σ under V_flat alone; robust under V_max). (Entry rewritten 2026-07-17: an earlier version repeated Session 193’s “regime-dependent slope” rescue — built on a synthetic 9-galaxy ladder asserting a deep-MOND limb the bounded formula cannot produce — which the executed run invalidated.)

Maps presence to coherence: C(ρ) = tanh(γ ln(ρ/ρ_crit + 1)). A compander function, not an order parameter; S-shaped on a logarithmic density axis (on a linear axis it has no inflection).

The central equation of Synchronism. Takes a density (ρ) and returns a coherence value between 0 and 1. Every density-keyed test uses ρ = physical mass/energy density (the galaxy RAR fits and the Cassini squeeze key the same formula on acceleration instead). The ontology pages read ρ more broadly as “presence” (compatible structural elements within a Markov Relevancy Horizon, including temperature, catalytic surfaces and so on), but that reading has never been operationalized. The same formula is also used keyed on acceleration instead of density; see “Which C? Which γ?”.

Note: ⚠ Physicist note: C is NOT quantum phase coherence. Quantum-coherent systems (BEC, BCS, superconductors) are assigned LOW C because they are given a large N_corr by hand → small γ. C(ρ) has no temperature in it and cannot describe a transition at fixed density; the low value is the formula's output, not a calculation of a real superconductor. C measures density-driven collective ordering, the opposite of the standard CM usage. Read beside the Coherence entry (low C = elements act independently), this looks like a contradiction, and it is the formula’s audited defect, not a terminology slip: through γ = 2/√N_corr it ranks the most collective systems lowest.

A modified Friedmann equation, H² = f(ρ_m), that makes the universe accelerate without a separate dark-energy fluid. The framework’s dark-energy sector, H² = 8πGρ_m/(3C), is a member of this class.

Freese and Lewis proposed changing how the expansion rate depends on matter density instead of adding a cosmological constant. The framework’s dark-energy equation is exactly of that form: it equals ΛCDM at γ = ½ and a modified-polytropic Cardassian model in the high-density limit. Cardassian models with density fluctuations were later shown to overproduce the late ISW effect except near the ΛCDM limit (Koivisto et al. 2005). So the sector is prior art, found here independently, and survives only where it is ΛCDM. (Entry added 2026-10-23.)

NASA/ESA Saturn mission whose radio tracking bounds any anomalous tidal (quadrupole, Q₂) field in the Solar System. That bound excludes this framework’s compander at every γ tested, unless discs carry more than twice their stellar-population mass, and MOND’s slowly-transitioning functions at 1.9–15σ by mass model (TEST-25).

Modified-gravity laws that act at galaxy-scale accelerations leave a small external-field quadrupole in the Solar System, which would perturb planetary orbits. Ranging to Cassini at Saturn measures Saturn’s orbit precisely enough to bound it. Measured bound: Hees, Folkner, Jacobson & Park 2014, Phys. Rev. D 89, 102002; updated by Park et al. 2026, Phys. Rev. D 114, 024066. The site’s Cassini/SPARC squeeze (TEST-25) compares the γ range SPARC galaxies allow with the range this bound allows. (Entry added 2026-10-15.)

The data need more than the framework’s built-in maximum, so no parameter choice can fit them.

The acceleration-keyed law with a floor caps the gravity boost at 1/Ω_m ≈ 3.17. When a galaxy needs a larger boost, the fit fails whatever the other parameters are. This is the structural failure behind TEST-09 and TEST-10. Whether the cap should be 1/Ω_m or Ω_m/Ω_b is a convention the site flags; the class result is that a boost capped below about 5.3 is excluded by the SPARC BTFR slope.

Numerical simulation of fluid flow using discretized equations of motion on a grid — the structural analogy for Synchronism's substrate model.

Computational fluid dynamics solves the Navier-Stokes equations on a discrete grid (finite-element, finite-volume, or lattice methods). SPINE.md describes Synchronism as a "CFD-like model": reality is a Planck-scale discrete grid where a field (Intent) flows, with saturation resistance forming walls that stabilize patterns. The analogy emphasizes that Synchronism models dynamics (flowing, saturating) on a grid, not objects in a container. Like CFD, stability emerges from the interplay of flow and boundary conditions — not from properties of the objects themselves.

The standard experimental form of Bell's inequality: local hidden-variable theories score S ≤ 2; quantum mechanics reaches S = 2√2 ≈ 2.83 (Tsirelson's bound); experiments confirm the quantum value.

CHSH (Clauser-Horne-Shimony-Holt, 1969) turns Bell's theorem into a measurable number: two parties each choose between two measurement settings, and a correlation score S is computed. Any local realist model (each system carrying pre-set answers, no faster-than-light influence) obeys S ≤ 2. Quantum entanglement reaches S = 2√2 ≈ 2.83 but no higher (Tsirelson's bound); no-signaling alone would allow up to S = 4 (the PR-box). Real experiments robustly measure ≈ 2.83. The Synchronism substrate was tested against CHSH directly (Bet B1): local constructions score S = 1.98, the framework's own saturation-density substrate scores S = 1.85, and none of the three constructions built exceeds 2 without signaling. Scope: that is a statement about those constructions, not about every possible substrate — substrates with hidden communication (Toner–Bacon 2003) were never built, so the class is untested. See “construction check.” (Scope sentence added 2026-09-15; this entry previously said “the substrate pays Bell's cost,” the class-level wording the site relabelled on 2026-09-14.)

Faint microwave light left over from about 380,000 years after the Big Bang, reaching us from every direction.

Its tiny temperature ripples (about 1 part in 100,000) are one of the strongest tests of cosmology, and ΛCDM fits them in detail. Pure MOND has trouble with them without extra ingredients. (Entry added 2026-09-15 for What Synchronism Is Not.)

How collectively a group of elements behaves, from sparse/independent (0) to dense/collective (1).

Picture a crowd leaving a stadium (everyone moving independently) versus a marching band (everyone moving as one): coherence is where a system sits on that spectrum. Low coherence (C→0): elements act independently — sparse matter, individual particles. High coherence (C→1): extremely dense, tightly packed systems — neutron stars, not superconductors. The physicist terminology warning below matters — this is NOT the "quantum coherence" you may have heard of.

Note: ⚠ Physicist terminology note: Synchronism "coherence" is NOT quantum phase coherence. In condensed matter, quantum-coherent systems (BEC, BCS superconductors) are maximally quantum-coherent — but they have large N_corr → small γ → LOW C in this framework. C=0 does not mean "incoherent" in the CM sense; it means sparsely interacting. C measures density-driven collective behavior, a different axis from quantum coherence (not its opposite). In plain words: the formula gives systems with more parts moving together a flatter curve, which is the audited sign inversion (see γ Calculator), not a subtle definitional point. See also: C(ρ) entry, Mean-Field Theory entry.

A sigmoidal function that maps a wide dynamic range onto a bounded output — the mathematical class C(ρ) belongs to.

A compander (compressing + expanding) maps a large input range to a bounded output via a smooth sigmoidal curve. The name comes from audio compression: μ-law companding (telephone networks) uses a logarithmic curve to compress loud signals without clipping quiet ones; tanh is a different member of the same S-shaped family (corrected 2026-11-05: this entry said μ-law uses tanh). The same class appears across disciplines: Hill function (biochemistry: oxygen binding to hemoglobin), Naka-Rushton equation (retinal response to light intensity), Kubo susceptibility (statistical mechanics near criticality). C(ρ) = tanh(γ·ln(ρ/ρ_crit + 1)) is a compander in this class — it maps density across 80+ orders of magnitude to a bounded coherence value [0,1]. Key consequence: companders are purely evaluative (input → output), not self-consistency equations. They cannot encode universality classes, critical exponents, or spontaneous symmetry breaking — these require a feedback loop (e.g., m = tanh(βJzm) in Ising mean-field). The site's /parameter-derivations page explicitly uses the term compander; this is the settled self-identification of C(ρ).

A test of specific models someone actually built, not of every model of that kind. A failure rules out those builds; it does not prove no version could work.

The site uses this for the Bell/CHSH check (Bet B1). Three toy versions of the framework's substrate were simulated and scored on the CHSH test. The purely local one scored S = 1.98, below the limit of 2, but that only illustrates Bell's theorem, which already says no local model can pass; it adds nothing new. The two nonlocal versions are construction nulls: one stayed at exactly 2, the other got higher only by sending signals, which is not allowed. That is a fact about those two constructions, not a theorem about the whole class of substrates: versions with hidden communication (Toner–Bacon 2003) were never built and remain untested. The check is counted as one of the 6 executed refutations and one of the 5 roots, labelled as a construction check rather than external data. (Entry added 2026-09-15; “theorem” wording on the site was relabelled 2026-09-14.)

A dynamical decoupling pulse sequence (π-pulses at regular intervals) that refocuses qubit phase errors and extends T₂ coherence time.

Carr-Purcell 1954 introduced the basic spin-echo refocusing sequence; Meiboom-Gill 1958 corrected systematic errors in the π-pulse rotation axis. CPMG is now a workhorse of quantum coherence control, NMR, and quantum computing. It demonstrates that periodic "resynchronization" pulses extend coherence — which is why the Synchronism claim about "resynchronization outperforming isolation" must specify how its MRH-based protocol differs from standard CPMG to constitute a novel prediction.

A change from one kind of behaviour to another that happens smoothly, with no sharp threshold and no critical point.

In a true phase transition (water freezing, a magnet losing its magnetism) some quantity changes non-smoothly at a critical point, and quantities like the specific heat show singular behaviour described by critical exponents. In a crossover the system moves between two regimes gradually, like the colour of a sky at dusk: you can say roughly where the change happens, but there is no exact point where it happens. C(ρ) = tanh(γ·ln(1 + ρ/ρ_crit)) is smooth everywhere (no critical point, no critical exponents), so the regime changes it describes are crossovers. That is why the Crossover Regime Visualizer (formerly “Phase Boundary Visualizer”) and the chemistry page “γ Regimes: Crossovers, Not Phase Transitions” were renamed: the older names claimed a sharp transition the equation does not have.

An electron beam scans so fast it appears everywhere at once. Measurement = sampling at different sync rates.

A CRT display’s electron beam creates different perceptions depending on sampling rate: a stable image (slow), flickering bands (medium), or a single dot (fast). Nothing about the screen changes — only synchronization timing. Synchronism claims quantum phenomena work the same way: superposition is temporal scanning, collapse is catching the dot, and entanglement is two synchronized screens.

Whatever makes the expansion of the universe speed up. In standard cosmology (ΛCDM) it is a cosmological constant Λ, about 68% of the universe’s energy today.

Since 1998, distant supernovae (and later the CMB and galaxy clustering) show the expansion of the universe accelerating. The simplest explanation is a constant vacuum energy density, the cosmological constant Λ, with equation of state w = −1. DESI’s 2024–2025 data hint that w may change with time (the w₀–wₐ parametrization). This framework’s dark-energy sector writes ρ_DE = ρ_m(1−C)/C. At γ = ½ that is exactly Λ (ρ_DE = 2ρ_crit), and the general family is a known Cardassian-class model. It can only evolve toward w = −1, so it cannot produce the thawing or crossing behaviour DESI hints at.

Unseen mass proposed to explain why the outer parts of galaxies orbit faster than their visible stars and gas can account for, along with several cosmological observations.

Measure how fast stars and gas orbit at different distances from a galaxy's centre and compare with what the visible matter should produce under Newtonian gravity: in the outer parts the measured speeds are too high. The standard explanation (ΛCDM) is a halo of non-luminous matter; the main alternative (MOND) changes the law of gravity at low accelerations instead. This site assumes neither. Synchronism's galaxy sector tried to reproduce the effect with its coherence function; where it fits it turns out to be MOND in different notation, and where it differs it fails. The Galaxy Curve Plotter shows the gap itself.

A quantum error-mitigation technique that applies rapid pulse sequences to a qubit to average out environmental noise, extending coherence time beyond passive isolation.

Dynamical decoupling exploits the fact that a qubit's interaction with its environment can be "refocused" by applying carefully timed control pulses. The Carr-Purcell (1954) sequence (CP) and its improvements — Meiboom-Gill (CPMG), Uhrig (UDD, 2007) — demonstrate that periodic or optimally-spaced π-pulses beat passive isolation in non-Markovian baths, sometimes dramatically. Relevant to the Synchronism QM claim: the proposed test ("resynchronization outperforms isolation") is already satisfied by standard DD protocols, which means the claim needs to specify what distinguishes MRH-based resync from DD to be non-trivial.

The process by which quantum superpositions break down and systems start behaving classically.

In standard physics, decoherence occurs through interaction with the environment. In Synchronism, decoherence IS the MRH crossing — when correlations extend beyond the Markov Relevancy Horizon, quantum behavior transitions to classical.

A large-scale sky survey at Kitt Peak Observatory measuring galaxy spectra to map cosmic expansion.

DESI (Dark Energy Spectroscopic Instrument) is a spectroscopic survey that measures the redshifts of ~40 million galaxies and quasars to map the universe's large-scale structure. DESI Data Release 1 (DR1, 2024) provided the most precise measurements to date of fσ₈ (the combined growth-rate parameter) across multiple redshift bins. Synchronism's TEST-04a predicted fσ₈(z=0.51) ≈ 0.418, below ΛCDM (0.473). DESI DR1's LRG1 bin gives 0.516 (+0.057/−0.066): the prediction sits ~1.5σ below it, short of the registered >3σ bar, so the test is underpowered as registered and is not counted as a refutation. The mechanism behind 0.418 was withdrawn on 2026-08-11. The 2.4σ figure sometimes quoted is a GR-conditioned σ₈ statistic, not the registered one.

1 dex = a factor of 10; 0.1 dex ≈ 26 %; 0.3 dex ≈ a factor of 2. Astronomers use it for scatter and offsets on log plots.

A shorthand for "decimal exponent". A quantity that is 0.13 dex off is off by 10^0.13 ≈ 1.35×, i.e. about 35 %. The RAR scatter of ~0.13 dex, the "+3 to +4 dex" miss of the strict density law at Chae's radii (a factor of 1,000–10,000) and the 0.083 dex compander-vs-MOND shape difference are all in these units.

The project lead and operator of Synchronism and this site. Governance decisions, such as changing the headline refutation count, are theirs to make.

“dp” is the project lead’s handle. “Pending the project lead” or “gates on the project lead” (older text: “pending dp”) on this site means a question is awaiting the project lead’s decision. Those decisions are recorded in the research repo’s proposals (github.com/dp-web4/Synchronism, Research/proposals/). The AI tracks that maintain the site can flag and argue a change, but they do not make these calls. (Entry added 2026-09-25 after a visitor found “pending the project lead” deciding a public headline number with dp never introduced.)

The fourth data release of ESA’s Gaia star catalogue, scheduled for 2 December 2026: 66 months of astrometry (DR3 used 34), epoch astrometry, and better proper motions.

Why it matters here: wide binaries (pairs of stars thousands of AU apart) orbit each other at accelerations near a₀, where MOND and Newton differ. DR4 improves companion vetting (RUWE, acceleration flags) more than it improves precision for the best-measured systems. The site has committed a reading key (reported boost → γ) before the release, and an analysis plan whose dry run on DR3 returned no result (explorer 2026-11-09). No DR4 outcome can select this framework; every γ it could map to is already excluded elsewhere. It can settle the Chae-vs-Banik dispute about MOND. Entry added 2026-11-10 after a technical-writer reader found the only dated future event on the landing page undefined here.

In MOND, a system embedded in an external gravitational field can be affected even if the internal acceleration is above the MOND threshold.

The External Field Effect (EFE) is a feature of MOND theories (Bekenstein-Milgrom 1984) with no Newtonian analog. In Newtonian gravity, external uniform fields cancel out internally (equivalence principle). In MOND, a system's internal dynamics depend on the total (internal + external) acceleration relative to a₀. This means a wide binary star system in a high-density environment (high external field) behaves more Newtonian than the same system in a low-density void. The EFE is observationally relevant for the Synchronism TEST-02 (wide binary density dependence): MOND+EFE also predicts environment-dependent dynamics, making TEST-02 potentially degenerate with MOND unless the amplitude prediction differs.

A joint test fails because the parameter ranges two datasets each allow do not overlap: no single value satisfies both.

One of the four operational labels that decide whether a result counts toward the refutation total (with Kill Criterion Triggered, Failed and Ceiling Exceeded). Each dataset alone can be fitted; what is refuted is the conjunction. Example: TEST-25, where the γ range SPARC galaxies retain (0.425–0.600) and the range the Cassini Solar-System bound allows do not overlap. Scope: that refutes one function used at both scales, not every version of the framework.

Prediction was tested and contradicted by data, with a specific error documented.

Failed predictions are not removed — they are documented with the exact error. Examples: YBCO T_c predicted 607K (observed 93K, 6.5× error); Bullet Cluster dark matter viscosity sign wrong. Failures stay visible.

A prediction is falsifiable if there exists an observation that would disprove it.

Every Synchronism prediction has a defined "kill criterion" — a specific outcome that would falsify it. This is what separates testable science from unfalsifiable speculation. The site documents both successful and failed predictions.

A result that neither kills nor saves the idea by itself: the outcome depends on a choice the framework has not made yet, and each choice has a price.

The main example is the globular-cluster fork. Globular clusters (tight balls of ~10⁵ stars) are dense enough to test the density switch directly. If the switch has one sharpness everywhere, the clusters rule it out. If the sharpness resets inside each cluster, which the framework had registered as a prediction months earlier, the clusters are marginally consistent under the algebraic reading (L2), but then “one equation” becomes two; under the framework’s action (L3) the registered setting is excluded too, narrowly (2026-10-08), and which reading is the theory has not been decided. Its badge is Parallel-Paths, not Failed, and the refutation count does not change until the choice is made. The word is used for other open choices too: the force-law fork on the Galaxy Curve Plotter (two ways of wiring coherence into gravity that point opposite ways; the site has not picked one), and the epoch fork on Parameter Derivations (now closed). Not to be confused with the A2ACW “Ambiguity Fork Rate,” a review-process metric. (Entry added 2026-09-15.)

The product of the growth rate f(z) and the matter fluctuation amplitude σ₈ — a key observable for structure growth.

fσ₈(z) combines two cosmological measurements: f(z) = d(ln D)/d(ln a), the logarithmic growth rate of structure (how fast overdensities grow), and σ₈(z), the amplitude of matter fluctuations at redshift z. Together they quantify how rapidly large-scale structure is building up. Higher fσ₈ = faster growth = more clustering. Synchronism Session 107 predicted fσ₈(z=0.51) ≈ 0.418, below ΛCDM (≈0.473). DESI DR1's LRG1 bin measured 0.516 (+0.057/−0.066), above ΛCDM but within 1σ of it; the prediction sits ~1.5σ below the data, short of its registered >3σ bar (TEST-04a: underpowered as registered, not counted). The suppression mechanism was withdrawn on 2026-08-11, and the framework's own G/C readings give 0.418, ≈ 0.473 or 0.575 depending on how C enters growth.

Einstein's theory of gravity (1915): mass and energy curve space and time, and that curvature is what we feel as gravity.

General relativity replaces Newton's force of gravity with the geometry of spacetime. It predicts black holes, gravitational waves and the bending of light, all observed. Synchronism does not replace it. (Entry added 2026-09-15 for What Synchronism Is Not.)

A switch-shaped curve of the form xⁿ/(1+xⁿ): near 0 for small x, near 1 for large x, with n setting how sharp the turn is. From biochemistry (oxygen binding to hemoglobin).

The coherence equation is one of these in disguise: tanh(γ·ln(1+x)) equals exactly ((1+x)^{2γ} − 1)/((1+x)^{2γ} + 1), a Hill-type rational function of (1+x). So the tanh-log form is not a special shape; it belongs to the compander family (see Compander). (Entry added 2026-10-15.)

A consciousness theory (Tononi 2004+) proposing that consciousness is identical to the intrinsic cause-effect structure of a system, measured by Φ (phi) — integrated information.

Integrated Information Theory proposes that consciousness = Φ, a measure of how much a system's whole exceeds the sum of its parts in terms of cause-effect power. High Φ systems are conscious; Φ=0 systems are not. IIT appears on the Synchronism site in comparisons between Synchronism's C-based consciousness threshold and alternative theories. Note: IIT's Φ cannot be mapped to Synchronism's C(ρ) without an operational calibration that does not currently exist.

In MOND, the smooth curve that switches gravity from Newton’s law (high acceleration) to the modified law (low acceleration).

MOND fixes the two ends: Newton at high acceleration, g = √(a₀·g_N) at very low acceleration. The shape in between is a free choice. The “simple” choice is μ(y) = y/(1+y). This matters here because Synchronism’s tanh-log equation, keyed on acceleration at γ = ½, is exactly the simple interpolating function. That is why its best galaxy fits are MOND in new notation.

A weak-lensing survey. Brouwer et al. 2021 used it to extend the radial acceleration relation to accelerations far below where rotation curves reach.

KiDS measures tiny distortions of background galaxies by foreground mass. Stacking isolated lens galaxies gives the mean gravitational acceleration out to ~Mpc distances, i.e. down to g_bar ≈ 10⁻¹⁵ m/s². The site uses it to test boost ceilings (TEST-09/10). The lowest bins (below ~10⁻¹³ m/s²) are flagged by the data paper as satellite-contaminated, which is why the lensing leg of the no-CDM-cap kill is census-conditional and the dwarf spheroidals carry it.

A specific, pre-registered outcome that would falsify a prediction if observed.

Each registered test has a kill-criterion field: the result that, if observed, means the prediction is wrong. A well-formed one names a statistic, a threshold and a significance the data can deliver. Measured 2026-09-18, 2 of the 26 registered criteria meet that; 3 state any significance; 11 contain no number at all (this entry’s former example, TEST-02’s “wide-binary anomaly is independent of local stellar density”, is one of the 11). The criteria were fixed before the data were analysed — commit history shows no threshold was moved after a result — so timing is sound and specificity is the open defect. This entry used to call a kill criterion “a numerical threshold” and the set of them “the framework’s most important methodological contribution”; the count does not support either. See also Prospective and Outcome words.

A pre-registered numerical threshold has been crossed; the test is treated as failed unless a revised pre-registration is made.

A Kill Criterion is a pre-registered falsification threshold: before the test is run, a specific numerical value is set such that if the result crosses it, the prediction is treated as failed. "Kill Criterion Triggered" means that threshold was crossed. It is a stronger statement than "Failed" alone because it means the failure was anticipated and quantified in advance. In Synchronism's test catalog, TEST-09 (BTFR slope) has kill criterion |Δn| > 0.3 — the executed run gives |Δn| = 0.41 at the boost ceiling 1/Ω_m, criterion triggered (convention-dependent: it does not fire at the two baryon-budget ceilings). TEST-10 (dwarf dark-matter fractions) caps f_DM at 68.5% — 106 of 153 SPARC discs exceed it, criterion triggered. Two examples this entry used until 2026-11-04 were reclassified and no longer illustrate the label: TEST-03's “R² = 0.14” was a Hubble-type term misattributed to the environment test (the registered run gave r² = 0.0001; see ALFALFA), and TEST-04a's “≈ 0.55” was a superseded DESI reading (LRG1 fσ₈ = 0.516, ~0.9σ past the threshold against a 3σ bar: Underpowered as Registered, not triggered). Note: "Kill Criterion Triggered" and "Speculative" are mutually exclusive — Speculative means no quantitative test has been defined; Kill Triggered means one was defined and crossed.

The point on a saturating curve where it bends from rising to leveling off.

On this site, “knee” usually means ρ_crit, the reference density where C(ρ) turns over, or its acceleration counterpart a₀. It is not a critical point in the phase-transition sense, and it is not the halfway point either: at γ = 2, C(ρ_crit) = 0.88, while at the galaxy-fitted γ ≈ 0.49 it is 0.33. Several tests (globular clusters, the solar Oort limit) ask whether any value of the knee fits the data.

A distance unit for galaxies: 1 kpc = 1,000 parsecs ≈ 3,260 light-years. The Sun is about 8 kpc from the centre of the Milky Way.

A parsec (pc) is about 3.26 light-years. Rotation curves are plotted against radius in kpc. Densities on this site are often given in M☉/pc³, solar masses per cubic parsec; the stars and gas around the Sun amount to roughly 0.1 M☉/pc³.

L2: solve ∇·[C∇Φ] = 4πGρ and take g = −∇Φ. L3: the force law that follows from an action for the same equation, which adds a "striction" term. The archive never says which one is the theory.

L2 is the field equation of Refracted Gravity read directly. It has no action, and composite bodies can violate Newton's third law under it (globular clusters would feel ~0.63 of the Galactic field). L3 is what a Lagrangian for the same equation gives: it conserves momentum, but adds a striction force −∇Ψ, Ψ = C′(ρ)|∇Φ|²/8πG, which can dominate wherever the density knee sits inside a body. Verdicts can depend on the choice. The registered globular-cluster point (γ = 2, knee 0.161 M☉/pc³) is marginal under L2 and excluded under L3 (2026-10-08). Which dynamics is the theory is an open decision for the operator.

In Web4, a cryptographic identity token bound to an entity and its context; one term in the Web4 equation on this site’s ontology pages. Not a physics term.

Web4 = MCP + RDF + LCT + T3/V3×MRH + ATP/ADP is the design vocabulary that Synchronism’s coherence ideas feed into (trust-as-coherence, fractal societies). LCT is the identity primitive. It appears on this site only where the applied, non-physics axis is described; none of the physics tests use it. Entry added 2026-11-10.

The research archive files every claim in one of four buckets. Bucket 0: confirmed novel predictions (count 0). Bucket 1: untested but falsifiable novel bets. Bucket 2: refuted (tested and failed). Bucket 3: reparametrizations (known physics in new notation).

The buckets are the archive’s scoreboard (Synchronism repo, PREDICTIONS.md). They are not the site’s badges, though they line up: Bucket 2 rows carry Failed or Audited-Negative, Bucket 3 rows carry Reparametrization. “It cannot move Bucket 0” means no outcome of that test could produce a confirmed novel prediction. Bucket 2 lists more rows than the site’s “6 refutations”: it includes eliminations that were not registered tests (for example a dimensional error, a derivation that fails, a result shown to be a textbook relation). So “13 empirical eliminations in the refuted bucket” (For Researchers, A2ACW) counts Bucket 2 rows decided by outside data, and the 6 are the subset that also meet the site’s counting rule (a registered criterion, executed).

Predicted deviation from exact Lorentz symmetry — any model with an absolute preferred frame inherits dimension-4 LIV operators radiatively (CPSU 2004 naturalness problem).

Lorentz invariance is the symmetry of special relativity: physics looks the same in all inertial frames. Discrete-substrate models that commit to an absolute preferred frame (like Synchronism's absolute-time substrate) generate Lorentz-violating Standard Model Extension (SME) operators radiatively at one loop. The Collins–Perez–Sudarsky–Urrutia–Vucetich (CPSU 2004, PRL 93, 191301) result shows that the dimension-4 c_μν coefficient is generated at O(α/π) ≈ 2×10⁻³ — 15–27 orders of magnitude above existing experimental bounds (cavity Michelson–Morley, Hughes–Drever). This is a naturalness problem, not a falsification: perturbative escapes exist (SUSY, anisotropic scale-hierarchy) but have not been exhibited within the Synchronism framework. The dimension≥5 (time-of-flight) channel is structurally unreachable by three independent locks and is not the exposed sector.

The logarithm base e (≈ 2.718). Compresses very large ranges into manageable numbers.

ln(x) answers: "what power must I raise e to, to get x?" For example, ln(1) = 0, ln(e) = 1, ln(100) ≈ 4.6. In the coherence function C(ρ) = tanh(γ · ln(ρ/ρ_crit + 1)), the natural log compresses the enormous density range of physical systems (interstellar gas to neutron stars spans 80+ orders of magnitude) into a range that tanh can differentiate. The "+1" inside the log ensures the argument is always ≥ 1, so ln ≥ 0 and C ≥ 0.

A physics approach where each particle feels the average effect of all others, not individual interactions.

Simplifies many-body problems by replacing complex particle-by-particle interactions with a single "mean field." In the Ising model, the self-consistency condition m = tanh(βJz·m) is a fixed-point equation — m appears on both sides, tanh is the self-consistent solution, and the result is genuine spontaneous symmetry breaking with critical exponents. C(ρ) borrows the tanh *form* but is not derived this way: its argument is ρ (external density), not the order parameter itself. There is no fixed-point equation, no free energy minimized, no SSB, and no critical exponents — the Honest Assessment labels this a "Category Error." C(ρ) belongs to the compander family (μ-law/Hill/Naka–Rushton), not the mean-field class.

The physicist who proposed MOND in 1983.

Milgrom introduced Modified Newtonian Dynamics and its acceleration constant a₀, and in 1983 observed that a₀ is numerically close to cH₀; this framework writes it as cH₀/(2π) (the coincidence again, not an independent result). See MOND.

A label on the Interactive Tools page for tools that show the model's own machinery (its equation and parameters) rather than present evidence for it. A content grouping, not a validation badge: it says nothing about whether the model is right.

An alternative to dark matter: gravity behaves differently at very low accelerations (below a₀ ≈ 1.2×10⁻¹⁰ m/s²).

In plain words: instead of adding invisible matter to explain why galaxies spin too fast at their edges, MOND (Milgrom, 1983) changes the law of gravity itself — wherever gravitational acceleration drops below a tiny threshold a₀ (about one hundred-billionth of Earth surface gravity), gravity falls off more gently than Newton says. One new constant, and galaxy rotation curves come out right with no dark matter, including relations discovered after MOND predicted them (like the baryonic Tully–Fisher relation). Its weaknesses are at larger scales: galaxy clusters and the CMB still need extra matter or a relativistic extension (the current benchmark is AeST, Skordis–Złośnik 2021, which passes CMB tests). MOND is the rival that matters on this site because every galaxy-scale test here ends the same way: where Synchronism’s equation differs from MOND, data refutes Synchronism; where it doesn’t differ, it IS MOND re-parametrized. (An earlier version of this entry said Synchronism “derives” a₀ — the audit demoted that to a rederivation of a numerical coincidence Milgrom noted in 1983; see the a₀ entry.)

A retired label that asserted Synchronism and MOND make identical predictions for a test. All three tests that carried it turned out to be discriminators — the framework loses each one.

Until July 2026 the site labeled tests "MOND-shared" when both frameworks were believed to make the same prediction, so the outcome could not discriminate between them. A class audit (2026-07-14/15) dissolved every instance: TEST-09 (BTFR slope) — the framework's bounded boost has no deep-MOND regime, its computed slope fails the observed 3.75±0.10 at 3.3σ and its registered kill criterion fired at B_max = 1/Ω_m (the 2026-09-18 ceiling sweep found it convention-dependent — it does not fire at Ω_m/Ω_b — so whether it counts is pending review); TEST-10 (dwarf DM dominance) — the bounded boost caps apparent DM fraction at 68.5%, which 69% of SPARC galaxies exceed; TEST-03 on this site (archive ledger: TEST-08; the TEST-05 card points to the same run; until 2026-11-10 this entry said TEST-05 while two others said TEST-03) (environment-dependent RAR scatter) — MOND+EFE's external-acceleration lever is ~50–5,000× larger than C(ρ)'s ambient-density lever, so a detected dependence is specific to MOND. The structural lesson: the framework differs from MOND in exactly two features (bounded boost; local coupling variable), and each "shared" test sat on an observable controlled by one of them — a tie was only possible where the framework IS MOND. Methodological lesson: a tie badge was the site's only unfalsifiable label (no execution, no number, sounds modest); the site now requires a claimed tie to carry the same execution burden as a claimed kill.

An "event horizon for influence" — the bubble of nearest neighbors that matter. Everything outside it can be ignored without losing predictive accuracy.

Think of an atom: Andromeda exists, but its gravitational and electromagnetic influence on a single atom is below the noise floor. The MRH is the minimal neighborhood such that removing anything inside degrades prediction, and adding anything outside does not improve it. Formally: the minimal set of interacting degrees of freedom whose state transitions materially influence coherence evolution. In quantum mechanics, crossing the MRH IS measurement/decoherence. Presence (ρ) is defined relative to an MRH: change the MRH, presence changes. Not to be confused with the MRH-relationship badges (Active-MRH, Parallel-Paths, Sidelined, Superseded, Audited-Negative): those borrow the name for the research inventory, not for physics. See "Active-MRH (badge)".

Status first: the formula it feeds, γ = 2/√N_corr, is audited-negative (see γ). N_corr is the number of units moving as one correlated unit; N_corr = 1 means “uncorrelated units, whatever they are”.

The original input to γ = 2/√N_corr. N_corr = 1 means each unit acts on its own, whatever the unit is: pages on this site have used a single electron, a star in a galaxy, and an ideal-gas molecule as examples of N_corr = 1, and all three are the same statement (γ = 2). A crystal lattice might have N_corr = 10²⁴ (γ ≈ 10⁻¹²). (Status line and the “whatever the unit is” gloss added 2026-10-07; a technical-writer visitor found three different N_corr = 1 examples across pages and no status at the top of this entry.)

Note: ⚠ The map γ = 2/√N_corr is audited-negative: for collective systems its sign comes out inverted (the most collective systems get the flattest curves, backwards from observation), and no protocol measures N_corr independently of fitting γ — N_corr is back-solved, not counted. Read the numbers above as the original hypothesis, not current physics. See the γ entry and the γ Calculator.

The standard density profile for dark matter halos predicted by N-body simulations: ρ_DM ∝ 1/(r/r_s)(1 + r/r_s)².

Navarro, Frenk & White (1996, 1997) showed that dark matter halos in N-body simulations universally converge to a "cuspy" profile ρ ∝ 1/r at small radii (a "cusp"), in contrast to the observed flat "cores" of many dwarf galaxies — the famous cusp-core problem. NFW is the null model for dark matter in galaxy rotation curve fits. The Galaxy Curve Plotter does not include an NFW component directly; the "Newtonian" curve shown is the pure-baryonic prediction without any dark matter halo.

Synchronism's prediction that RAR scatter depends on environment.

Standard models predict RAR scatter is constant; Synchronism registered a prediction that it varies with local density. The “p = 5×10⁻⁶, strongly supported” long shown here was retracted: that statistic belongs to a morphology (Hubble-type) term on a ~171-galaxy sample, not to environmental density (2026-07-08/09 provenance audit). The registered environment run (2026-07-14, SPARC vs Cosmicflows-4) found r² = 0.0001 — refuted by execution. (Entry corrected 2026-07-17; the previous text was a fossil of a retracted claim.)

A match to data that a structurally simpler, framework-free model matches just as well or better, so the match is not evidence for this framework.

Canonical definition (Honest Assessment badge reference): the result achieves the same or better fit using a structurally simpler null model (e.g., a polynomial in atomic number Z). The match is evidence of monotonicity in the target variable, not framework-specific physics. Plain version: if a property just rises steadily along the periodic table, almost any smooth curve will correlate with it strongly. Example (corrected 2026-11-05): the chemistry correlations were long described as matched by a 2-parameter polynomial in Z (run 2026-05-10). That run used synthetic curves, not the chemistry rows (see Template Bias Caveat). Run on the 10 recoverable real rows (explorer 2026-10-31), the Z-null fails (|r| ≤ 0.53), so the chemistry rows are not a Null-Class example; their Reparametrization verdict rests on the γ proxies being the Debye temperature and the ionization energy renamed. Appears with a Reparametrization badge. (Entry added 2026-09-15.)

A factor of ten. "3 OOM" means about 1,000×.

Refuted, killed and Failed describe one event from three angles; withdrawn, unrunnable and underpowered are not outcomes of a test.

Every registered test has a kill-criterion field (see Kill criterion). Measured 2026-09-18, 2 of 26 are well-formed (a statistic, a threshold and a significance the data can deliver); 11 contain no number. “Kill criterion triggered” is an operational state of a test. How the outcome words map: a test is executed; if its kill criterion triggers, that is a refutation (scoreboard word); the claim then carries the Failed badge (descriptive) or Audited-Negative (when the failure came from an audit of a historical track rather than a registered test). “Killed” is the lifecycle verb for the same event. Withdrawn means the framework itself disowned the test — not from data refutation, but from internal contradiction, unmotivated amplitude, or supersession (TEST-04, BAO); it carries no badge (see Withdrawn). Unrunnable and “untestable as stated” mean no test can currently be built; they are not outcomes. Underpowered means a test ran and could not discriminate; it does not count as a refutation.

Kept in the hypothesis space: not in active focus, not abandoned.

Parallel-Paths means the claim is on the shelf — not being actively investigated but not disowned. The framework maintains multiple parallel research tracks simultaneously; Parallel-Paths marks a track that is not the current priority.

An empirically-calibrated measure of consciousness based on the complexity of a brain's response to TMS perturbation — one of the few consciousness measures with a validated scale.

PCI (Casali et al. 2013) applies a TMS pulse to the cortex and measures the algorithmic complexity of the resulting EEG response using a compressibility measure (Lempel-Ziv). The empirical cut-off PCI* = 0.31 is from Casarotto et al. 2016 (Ann. Neurol.): conscious states show PCI above it; unconscious states (sleep, anesthesia, disorders of consciousness) fall below. PCI is referenced on the Synchronism site as the one empirically-calibrated consciousness measure that exists — PCI* = 0.31 as the conscious/unconscious boundary, against which Synchronism's C-axis threshold could in principle be compared, if a C-to-PCI mapping existed (it currently does not).

A sudden shift in how a system behaves, like water freezing or a magnet losing its magnetism.

In Synchronism, the quantum-to-classical transition is modeled as a sharp-but-smooth saturation controlled by γ. Caution: despite the name, C(ρ) is NOT a literal phase transition — the function is analytic with no critical point, no diverging correlation length, and no critical exponents (the site’s own audit states this; see /parameter-derivations). At γ ≈ 1, systems sit at the sparse/collective boundary — where chemistry clusters.

Chosen because it matches the data, not derived from a deeper theory. A phenomenological curve can fit perfectly and still explain nothing.

When the site calls the tanh-log equation "phenomenological", it means the S-shape was picked for its behaviour (smooth, bounded, saturating) and then fitted, rather than obtained from a mechanism. That is not a flaw by itself (MOND’s interpolating functions are phenomenological too), but it means the equation cannot be wrong in the way a derivation can: only its fitted values and its predictions can be.

Formula or derivation produced after the confirming experiment was already published. Appears after the dash on a badge (e.g. "Reparametrization — Post-diction"); the formal status is always the badge word.

Not one of the nine formal badges on the Honest Assessment legend. It is a finding descriptor: the text after the dash. A post-diction matches known data but was not a forward prediction — the experiment's result was already in the literature when the formula was derived. Epistemically weaker than "Validated" (genuine pre-registered prediction confirmed) but distinct from "Reparametrization" (notation change). Post-dictions can be valuable as consistency checks and can motivate forward predictions, but they do not independently confirm a framework.

Recording a prediction, the statistic it will be judged on and its kill criterion in a dated, public commit before the test is run.

Pre-registration stops a researcher (human or AI) from choosing, after seeing the data, which number counts as the test or where the pass/fail line sits. On this site a pre-registration is a git commit (often a *_PREREG.md file next to the script) made before the analysis code exists or runs. Its hash is quoted beside the result, so anyone can check the order of events. Two things it does not guarantee: that the registered criterion was well formed (see Kill criterion: 2 of 26 registered criteria name a statistic, a threshold and a significance), and that the test is prospective (the data may already have been published; see Prospective).

Two readings. Every density-keyed test on this site uses ρ = ordinary local mass (or energy) density. Not every test is density-keyed: the galaxy RAR fits, the γ = 2 pin, TEST-09/10 and the Cassini squeeze key C on acceleration instead (see Coherence Function, "which C"). The ontology pages also use ρ for a broader "presence": how much compatible stuff is nearby within your MRH. That broader reading has never been turned into a measurement.

Why not just call it density? Physical density (g/cm³) is one form of presence, but the framework applies the same equation to chemistry (presence = compatible molecular configurations), neural tissue (presence = coupled neurons), and galaxies (presence = baryonic density). A single word covers all these cases. Presence is not merely quantity — it encodes compatibility, configuration, and environmental suitability: ρ = f(compatibility vector), the scalar projection of a multidimensional compatibility space onto a single number. Must be quantifiable, domain-transparent, MRH-dependent, and falsifiable. In practice: every density-keyed test uses ρ = the local mass/energy density (the galaxy acceleration-keyed fits use no ρ at all); the broader “compatibility” reading has never been operationalized (see /equation-walkthrough).

A test whose pass/fail rule was written down before the data it is scored on existed. The site has completed 0 prospective tests.

This is why the scoreboard can say “0 prospective predictions tested” and “6 refutations executed” at once: all six refutations were run on data that already existed (SPARC, Cassini, Cosmicflows) or as a simulation. A refutation on existing data still counts, because the idea could have passed and did not. What existing data cannot do is confirm a novel prediction, since the prediction could have been shaped by it. Timing is the cheap half of pre-registration; the expensive half is specificity (see Kill criterion).

The framework of modern particle physics: every kind of particle is a ripple in a field that fills space. The Standard Model is written in it.

Quantum field theory combines quantum mechanics with special relativity. It underlies the Standard Model of particle physics and is among the most precisely tested theories in science. Synchronism does not replace it. (Entry added 2026-09-15 for What Synchronism Is Not.)

The "what it's like" of conscious experience — the redness of red, the pain of pain.

In Synchronism, qualia are modeled as coherence resonance patterns that emerge when C crosses ≈ 0.50. This is speculative and untested. The site marks all consciousness claims with appropriate caveats.

Note: All consciousness predictions are untested. This is the most speculative part of the framework.

A version of MOND written as a modified Poisson equation that is linear in the potential, so it can be solved for real galaxies and for the Solar System. The Cassini test (TEST-25) is run in this formulation.

MOND’s original rule g = ν(g_N/a₀)·g_N is an algebraic relation that only holds exactly for spherical systems. QUMOND (Milgrom 2010) turns it into a field equation: solve Newton’s Poisson equation once, apply ν to the result, then solve Poisson again. The Galaxy Curve Plotter and the site’s Cassini instrument use the simple-ν function inside this equation; the external field effect follows from it automatically.

Tight correlation between observed and baryonic acceleration in galaxies.

Discovered in SPARC data: what you see (baryonic matter) predicts what you get (total gravitational acceleration) with very small scatter. Synchronism registered a prediction that the scatter should be environment-dependent (>20% of scatter); the registered run (2026-07-14, SPARC offsets vs Cosmicflows-4 densities) found r² = 0.0001 — no environment dependence at the registered amplitude. The prediction is refuted by execution; the RAR behaves as a universal local law.

Two patterns cycling in perfect sync show identical behavior regardless of distance. No information travels between them.

Like two CRT screens displaying identical pictures from synchronized electron beams: sample either screen at any rate, and both show the same thing simultaneously. Not because information traveled, but because their cycles were correlated from the start. Synchronism’s explanation for quantum entanglement.

A test with a stated failure condition that was actually run, on outside data or as a construction check, and that the idea failed. The site counts 6 under its current rule (4–8 under rules on file, depending on how close calls and shared causes are counted), from at most 5 independent roots.

Counting rule: a claim counts as an executed refutation when (1) a test with a stated failure condition was actually run, on data or as a simulation, and (2) the claim failed it. Arguments that a test could never succeed, untested predictions and underpowered tests (like the DESI growth-rate check) do not count. The count is 6 (BTFR slope TEST-09, dwarf dark-matter fractions TEST-10, RAR shape at γ = 2, the environment run, the Cassini/SPARC squeeze TEST-25, and the Bell/CHSH substrate check), but these come from at most 5 independent roots, because TEST-09 and TEST-10 fail on the same boost cap. Only two roots are specific to this framework. The upstream ledger is PREDICTIONS.md in the research repo. Pending (2026-10-12): the uniform G/C growth reading was pre-registered, executed and excluded (ISW sign, lensing, S₈), which meets this rule as written; it is left out of the 6 only because no archive document asserted that reading, and whether that exclusion becomes part of the rule gates on the project lead. What the landing-page “6” includes: one construction check (Bell/CHSH, run on the framework’s own substrate construction rather than on observational data) and two pending-review entries (TEST-09 and TEST-10, whose independence awaits the project lead). Claims refuted this way carry the Failed badge.

When a result turns out to be equivalent to existing physics expressed in different variables.

Several Synchronism results (e.g., the η reachability factor = Abrikosov-Gor’kov pair-breaking) are reparametrizations. The site marks these honestly with orange badges. The novelty is in unification, not in each individual result. For the formal validation badge, see Reparametrization (badge).

Note: Not a failure — reparametrizations confirm the framework is consistent with known physics, but they don’t count as new predictions.

The result is mathematically equivalent to existing physics expressed in different variables.

A reparametrization is not a failure — it shows the framework is consistent with known physics. But it is not a new prediction. Example: the η reachability factor = Abrikosov-Gor’kov pair-breaking (1960). The honest assessment tracks reparametrizations separately from genuinely novel predictions. For the general concept, see the plain Reparametrization entry.

Agreement with data that were already known when the idea was written. Counts as consistency, never as confirmation.

The opposite of a prospective test. A retrodiction that fails is informative (it is how all six refutations happened). A retrodiction that succeeds is weak evidence, because the idea may have been tuned, knowingly or not, to data its authors had seen.

The single underlying reason a test failed. Several executed tests can fail for the same reason, so the site counts both: 6 executed refutations, from at most 5 independent roots.

Three words that are easy to blur. A test is one registered check, run once. A kill is that test crossing its pre-stated failure threshold. A root is the cause underneath: if two tests fail because of the same built-in assumption, they are two tests and (if both had thresholds) two kills, but only one root, and fixing or dropping that assumption would move both at once. On this site TEST-09 (galaxy mass vs spin speed) and TEST-10 (how dark-matter-dominated small galaxies are) both fail on the same hard cap on the gravity boost, so they share one root. The 5 roots are: 2 specific to this framework (the boost cap; the γ = 2 setting), 1 refuted registration (the size of the environment effect), 1 inherited from MOND (the Cassini/SPARC squeeze), and 1 Bell/CHSH construction check. Counting roots stops one mistake from being scored as several. (Entry added 2026-09-15.)

A plot of how fast stars and gas orbit a galaxy’s centre against their distance from it. Newton says it should fall off far out; observed curves stay flat.

Picture: distance from the centre on the horizontal axis, orbital speed on the vertical. If the visible stars and gas were all the mass, speeds far outside the bright disc should drop the way planets slow with distance from the Sun (v ∝ 1/√r). Observed curves instead rise and then stay roughly flat out to the last measured point (the flat speed is V_flat). That gap is the galaxy dark-matter problem. Dark matter explains it with unseen mass; MOND explains it by changing gravity at low acceleration. Every galaxy test on this site, including the Galaxy Curve Plotter and the SPARC fits, is a comparison against measured rotation curves.

Theories in which gravity is ordinary where matter is dense and modified where it is sparse, because a field is "screened" in dense regions. The density-keyed C(ρ) law has the same phenomenology but no field with its own dynamics.

Chameleon and symmetron models (Khoury & Weltman 2004; Hinterbichler & Khoury 2010) add a scalar field whose behaviour depends on the local density: dense environments switch the extra force off, sparse ones switch it on. Vainshtein screening (Galileons) does the same through derivatives of the field. The screening literature classifies these by which derivative of the potential Φ keys the modification (Joyce, Jain, Khoury & Trodden 2015). The density-keyed g = g_N/C(ρ) is that phenomenology written as an algebraic rule, keyed on ∇²Φ ∝ ρ, a rung that fails the radial acceleration relation; a symmetron does reproduce it (Burrage, Copeland & Millington 2017) because its field solves a non-local equation. Screening models are tested at tabletop scale (torsion balances, atom interferometry in vacuum chambers). For C(ρ) the tabletop answer depends on an averaging length the framework never declared; see Dark Matter → "Relation to screened modified gravity".

A test where no possible measurement outcome would pick out this framework over the standard alternatives, so running it cannot support Synchronism.

Canonical definition (Honest Assessment badge reference): no measurement outcome selects Synchronism over the standard alternatives — either the signal is below systematics reach, or both outcomes (null and confirmed anomaly) are covered by Newton or MOND respectively. Plain version: heads, Newton wins; tails, MOND wins; the framework cannot win either way. Example: TEST-02 (wide binary stars): no anomaly is ordinary Newtonian gravity, a confirmed anomaly is already predicted by MOND's external field effect, and the framework's own predicted signal is ~80× too small for Gaia to see. Sometimes shortened on the site to “self-eliminating.” (Entry added 2026-09-15.)

One autonomous AI research exchange in the Synchronism archive — a claim worked, challenged, and resolved. Sessions are numbered (e.g. "Session 107") and roughly chronological.

The research archive was produced by 3,308 autonomous AI sessions. Each session is one unit of work: a derivation attempted, a claim stress-tested, a dataset analyzed. Site citations like "Session 107" point to the archive document with that number. Session count measures activity, not validity — the site's own audit found the number of sessions has no bearing on whether a result is correct (several headline numbers propagated for hundreds of sessions before anyone re-ran the underlying computation).

Was in active focus; currently not pursued; reasons documented; reactivation condition specified.

Sidelined differs from Parallel-Paths: the claim was actively worked and then explicitly deprioritized for documented reasons. To reactivate a Sidelined claim, the specified condition must be met (e.g., new data, resolution of a prior contradiction).

An automated daily review of this site by an AI model role-playing one of four readers: a casual enthusiast, a technical writer, a graduate physics student and a leading-edge researcher.

Text such as “raised by a simulated-visitor researcher persona” means the point came from that automated pass, not from a human physicist or an external referee. The passes are useful because they read the live site cold, and many corrections on this site started there, but they carry no outside authority: every point they raise is checked against the source before anything changes, and several have been wrong. No outside physicist has reviewed this site. (Entry added 2026-10-13, after a simulated visitor found older wording such as “a visiting researcher pointed it out” and “external-reviewer pass” that read as outside peer review.)

A comprehensive effective field theory parameterizing all possible Lorentz- and CPT-violating operators — the standard framework for constraining LIV experimentally.

The Standard Model Extension (Colladay & Kostelecký 1997, 1998) catalogs every renormalizable and non-renormalizable operator that could appear in an extension of the Standard Model that breaks Lorentz invariance or CPT. Experimental bounds on SME coefficients (tabulated annually in the SME Data Tables, Kostelecký & Russell, Rev. Mod. Phys. 83, 2011) constrain these operators across atomic, nuclear, photon, and gravitational tests. The c_μν coefficients relevant to Synchronism's preferred-frame sector are bounded at |c_μν| ≲ 10⁻¹⁸–10⁻³⁰ by cavity and clock-comparison experiments.

Database of 175 galaxies with precise rotation curves and mass models.

The gold-standard dataset for testing galaxy rotation theories. Synchronism was tested against all 175 galaxies.

A conceptual proposal without a specific quantitative test defined.

Speculative claims are ideas the framework motivates but has not turned into falsifiable predictions. They may become testable with more development. Higher epistemic risk than Untested, which has a defined test.

The current stage of the project, in which no claim is labelled “established.”

During stewardship the research is being audited and re-framed rather than built on, and nothing in it is honestly characterizable as established. That is why the Validated and Supported badges are deprecated: new content uses relationship badges (Active-MRH, Parallel-Paths, Sidelined, Superseded, Audited-Negative) or descriptive ones (Untested, Failed, Speculative, Reparametrization), and older Validated/Supported labels are being migrated. (Entry added 2026-10-15.)

⚠ Retired badge — no longer used; kept so old links resolve; nothing on the site currently earns it. It conflicted with the stewardship discipline (nothing is characterized as established at this stage).

⚠ This badge is deprecated. It conflicts with the stewardship principle that nothing is honestly characterizable as "established" at the current stage. Historical meaning: the data supported the claim with high significance but with caveats (prior art, limited R², non-independent explanation). Existing usages are being migrated to the current badge system (Reparametrization, Failed, Untested, Speculative, Active-MRH). See Honest Assessment for the canonical badge definitions.

Replaced by a later formulation; pointer to successor.

A Superseded claim was not wrong per se — it was absorbed into a more general or more precise successor. The pointer to the successor is part of the badge.

The one version of the framework’s galaxy equation that still fits the data: C keyed on acceleration, with γ fitted to about ½. At γ = ½ that version is exactly MOND’s “simple” interpolating function, so the surviving branch is MOND written differently.

The equation C = tanh(γ ln(1 + x)) can be fed different inputs (density, or acceleration) and can be used with γ pinned at 2 or fitted. Each choice is a “branch”. The density-keyed branch and the γ = 2 pin failed their tests. The branch that survives is the acceleration-keyed one with γ fitted, and it lands on γ ≈ ½, where the equation is identically MOND’s simple μ (and, keyed on mean cosmic density, identically Λ). “Surviving” therefore means “not refuted”, not “distinct from MOND”.

An S-shaped curve: as its input grows from 0 it rises steeply at first, then levels off at 1. Technically, a function that smoothly maps any input to a value between −1 and +1. Synchronism only ever feeds it non-negative inputs (γ·ln(1 + ρ/ρ_crit) ≥ 0), so C stays between 0 and 1 with no shifting.

Think of it as a dimmer switch: small inputs pass through almost unchanged, large inputs get squashed toward the ceiling. In plain words, Synchronism picked tanh because its S-shape matches the data, not because any deeper theory demands it — any similar S-curve (logistic, erf, arctan, Hill) would fit equally well. (For physicists: in Ising mean-field theory tanh arises from the self-consistency loop m = tanh(βJz·m); Synchronism has no such loop — the choice is phenomenological, i.e. "picked because it matches the data." See /parameter-derivations.)

A warning attached to the chemistry “89% boundary-consistent” rate: the rate was scored against a template that any smooth S-shaped trend in atomic number would also satisfy, so it measures the template, not the framework.

Appears on Why Synchronism (Beginner step 1) next to the chemistry result. The 89% counts how many of 1,703 logged chemistry sessions (a session counter, not a census of phenomena) sit where a sigmoid in density says they should. Each correlation is a post-hoc fit against a γ proxy that contains the Debye temperature, so the template, not the coherence equation, explains the rate. (Corrected 2026-10-31: a polynomial-in-Z null cited here was run on synthetic curves, not the chemistry rows.) It is a qualifier on a descriptive number, not one of the nine validation badges.

Tiers 1–4 sort proposed tests by what they cost to run: Tier 1 = reanalysis of existing public data at no cost; Tier 2 = modestly funded pilots (roughly $5K–$150K); Tier 3 = major experiments; Tier 4 = frontier. Whether a test is falsifiable yet is a separate question, labelled "exploratory," not by a tier number.

Two unrelated classifications used to share the word "Tier," and until 2026-09-11 this entry described the wrong one: it called tiers a readiness scale with no Tier 3, while the Test Roadmap has four cost tiers (flagged by a simulated-visitor technical-writer persona). The site now keeps them apart. (1) Cost tier, Tier 1 to Tier 4 on the Test Roadmap, by money, time and facilities. (2) Readiness: whether a test has a derived amplitude, a mechanism and a kill criterion. A test missing them is exploratory whatever it would cost. TEST-07 (cosmic interference) is a $0, Tier 1 cost item that is exploratory, not falsifiable as stated; that is what its "demoted" label on the Tier 1 page means, and why it does not appear on the Tier 2 pilots page: its cost tier never changed.

An optimally-spaced pulse sequence (Uhrig 2007) that maximally suppresses pure dephasing with the fewest π-pulses, outperforming CPMG in certain bath spectral densities.

Uhrig Dynamical Decoupling (2007) analytically determines the optimal (non-uniform) spacing of π-pulses for a given bath type. For a purely dephasing bath, UDD achieves order-n decoupling with n pulses — exponentially more efficient than CPMG. Together with CPMG and the Viola-Knill-Lloyd sequence, UDD shows that coherence can be actively extended by environmental interaction (via pulses), not only by isolation. This is precisely why the Synchronism "resync outperforms isolation" prediction collapses to known DD physics as stated.

The test's pre-stated failure threshold sits inside the measurement's own known uncertainty, so neither outcome can decide anything until the registration is tightened.

Canonical definition (Honest Assessment, status lifecycle verbs): the registered kill threshold sits inside the measurement's own known systematics or pipeline-dependence range, so neither outcome (threshold crossed or not) can adjudicate anything until the registration is tightened. Marked before the data arrives where possible, not as a post-hoc excuse. Plain version: the ruler is too blurry for the line drawn on it. Examples: TEST-06 (the scatter threshold for the galaxy mass–spin relation sits inside the ~3× spread caused just by how rotation speed is defined) and TEST-04a (the growth-rate criterion was met at ~1.5σ against a demand of more than 3σ). An underpowered test is not counted as a refutation, and not as a pass either. (Entry added 2026-09-15.)

A specific prediction exists, but the relevant data or experiment has not been run.

"Untested" is not a failure — it means nobody has looked yet. Many Synchronism predictions in astrophysics and quantum measurement are Untested because this lab cannot run experiments and the specific test has not been done by others.

The constant speed at which stars orbit in the outer parts of a galaxy.

Galaxy rotation curves show that stars far from the center orbit at roughly constant speed instead of slowing down (as Newton predicts). This "flat" velocity is the key observable that reveals the dark matter problem.

⚠ Retired badge — no longer used; kept so old links resolve; nothing on the site currently earns it. Current badges: nine, in two families (5 MRH-relationship: Active-MRH, Parallel-Paths, Sidelined, Superseded, Audited-Negative; 4 descriptive: Untested, Speculative, Reparametrization, Failed), defined on Honest Assessment.

⚠ This badge is deprecated. None of the 9 audited claims survived (all 6 demoted claims, only 2 of them confirmed to have carried a "Validated" badge, plus 3 swept later were demoted to Reparametrization, Failed, Audited-Negative or Speculative); the audit was done by LLM agents, not an outside domain expert. "Validated" conflicts with the current stewardship discipline (nothing is honestly characterizable as established at this stage). In new content, use Active-MRH, Reparametrization, or the appropriate descriptive tag instead. Historical note: "Validated" meant the numbers agreed quantitatively with data — but agreement alone does not establish novelty; reparametrizations of known physics can "validate" without adding new physics.

C names at least four functions and γ carries at least four values on this site. Check which one a sentence means before comparing numbers.

C_ρ (the headline): tanh(γ ln(1+ρ/ρ_crit)), keyed on density. Refuted on SPARC (ΔBIC +2843, best γ → 0.046); in cosmology it is read on the mean density (γ ≈ 0.49 on DESI, which is Λ). C_g: the same formula keyed on observed acceleration g_obs/a₀. This gives the γ ≈ 0.489 galaxy fit, which is MOND’s simple interpolating function; only γ/a₀ is measured. C_a (the ceiling): Ω_m + (1−Ω_m)x/(1+x) on baryonic acceleration, with no γ. It carries TEST-09/10. C = f(γ, D, S) on the consciousness pages is a separate construct that is never defined. γ = 2/√N_corr is the proposed derivation that failed, and “γ ≈ 1” is a chemistry regime name. γ = ½ appears in both the galaxy and cosmology fits, but on different variables. It is the special point of the function family, not one parameter measured twice.

Two ways to turn C into a velocity: divide the baryonic acceleration by C (g = g_bar/C, the wiring the tests use), or add a C-dependent dark term in quadrature. They give different curves from the same C.

The Galaxy Curve Plotter draws the tested division wiring as its main violet line and the quadrature variant dashed. Results quoted on the site (TEST-09, TEST-10, the RAR fits) use division. When two pages disagree about what "the Synchronism curve" looks like, check the wiring first, then which C (see "Which C? Which γ?").

The framework disowned the test: not because data refuted it, but because internal analysis found it contradicted by another part of the framework or its predicted amplitude unmotivated. Carries no badge (never adjudicated).

A Withdrawn test is one the framework itself has disowned — not because external data refuted it, but because internal analysis showed it was either (a) contradicted by another part of the framework or (b) unmotivated (no derivation of the predicted amplitude). A claim replaced by a better formulation is a different thing: that is the Superseded badge (this entry used to fold that case in; removed 2026-09-25 so the two terms no longer overlap). In Synchronism's test catalog: TEST-04 (BAO coherence modulation) was withdrawn because (1) Session 107 contradicts it internally, (2) the predicted effect (10⁻⁴) is 600× below standard nonlinear BAO shifts and thus unmotivated, and (3) the kill criterion of 10⁻⁵ is smaller than current measurement precision. Withdrawn differs from Failed: failure comes from data; withdrawal comes from the framework itself.

A score for how well a yes/no test separates two classes: J = sensitivity + specificity − 1. It runs from −1 to 1; 0 means no better than chance, 1 means perfect.

Used on this site for the A2ACW audit protocol: how well its "is this novel?" verdicts separate genuine discoveries from reparametrizations. On the one calibration set (six canonical discoveries) the literal rule flagged every discovery as prior art (specificity 0/6), and the interval quoted for J spans zero, so the protocol has shown it can demote claims but not that it can detect novel ones.

The steepness of the S-curve. Status first: the original formula γ = 2/√N_corr is audited-negative (wrong-sign correlation; it ranks the most collective systems flattest). The framework’s pinned galaxy value γ = 2 is disfavoured on SPARC; the fitted value γ ≈ 0.49 sits on the exact MOND point (γ = ½), so nothing new survives. (γ multiplies the log; it is not an exponent.)

Intuition first: γ sets how early C starts to rise as density grows and how fast it approaches 1. Small γ means a slow fade stretched over many powers of ten. Above γ ≈ 1, a bigger γ mostly slides the curve to lower density without narrowing it: the 10–90% width stops near 1.17 dex (a factor of 15 in density), so no γ gives a sharp switch. It was proposed as a sharpness, and the proposal assigned large γ to few correlated units (a single electron: N_corr = 1, γ = 2) and small γ to many (a crystal: γ ≈ 10⁻¹²). γ ≈ 1 marks the sparse/collective boundary where chemistry clusters. Why 2/√N_corr? No independent derivation exists — the formula is audited-negative: 1/√N is a fluctuation width, and placing it where a sharpness was wanted inverts mean-field physics (the most collective systems get the FLATTEST curves — BCS superconductors land at C ≈ 0, backwards from observation). (This entry previously stated the regimes backwards — corrected 2026-06-12.) Structurally, γ is claimed to encode MRH coupling density (γ ∝ λ·K/D), but no protocol independently measures N_corr in any system.

A score for comparing two explanations of the same data: it rewards fitting the data and penalizes extra adjustable knobs (BIC = Bayesian Information Criterion). The difference between two models' scores is ΔBIC; ΔBIC > 10 = very strong evidence against the worse model; The γ = 2 pin gives ΔBIC = +184 with the 2,807 SPARC points treated as independent, but ≈ +11 with the galaxy as the unit (measured N_eff ≈ 150), and +46 / +2.7 once each law has its own global Υ: disfavoured at about 2σ. The older '≥ +33 conservative' figure was a guessed discount and is withdrawn.

ΔBIC = BIC_model1 − BIC_model2. Positive ΔBIC means model 2 is better. Convention: ΔBIC > 10 is "very strong evidence." In the Synchronism RAR shape test (2026-05-21): γ=2 compander vs free-γ on 2807 SPARC points gave ΔBIC=+184 with the 2,807 points treated as independent. Scored with the galaxy as the unit (galaxy-block bootstrap, N_eff ≈ 150; 2026-09-29) the same comparison is ≈ +11, 1.6–2.2σ: with each law's own global Υ it is +46 by point and +2.7 by galaxy. The γ=2 form is disfavoured at about 2σ, not categorically rejected. The free-γ form collapses to MOND (γ≈0.49), so the discriminating test is closed either way: the only γ the data prefer is MOND's. (Corrected 2026-10-14: this entry used to cite a withdrawn "≥+33" discount and say "categorically rejected regardless of which figure is used".)

Superconductivity parameter equivalent to Abrikosov-Gor'kov pair-breaking efficiency.

Synchronism independently derived this factor, which turned out to match a known 1960 result. An honest reparametrization, not a new discovery.

Note: Marked as reparametrization — this is known physics in new notation.

The standard model of cosmology: the universe is ~68% dark energy (Λ), ~27% cold dark matter, ~5% ordinary matter.

The mainstream cosmological framework that explains the universe's expansion, galaxy formation, and cosmic microwave background. Synchronism doesn't replace ΛCDM — it proposes an alternative interpretation of what "dark matter" represents (coherence effects rather than invisible particles).

Alternative formulation: ξ = topology + geometry + dynamics.

The compression action variable unifies matter (topology), gravity (geometry), and quantum mechanics (dynamics) into a single parameter that feeds into the coherence function.

Reference density — a saturation knee, not a critical point. C(ρ_crit, γ=2) = 0.88; the midpoint C=0.5 sits at ρ ≈ 0.32×ρ_crit. ρ_crit = A × V_flat² (astrophysical case).

ρ_crit sets the scale at which the coherence function enters saturation — NOT a phase-transition critical density. At γ=2, C(ρ_crit) = tanh(2·ln 2) = 0.88; the actual C=0.5 midpoint is at ρ ≈ 0.32×ρ_crit. The "+1" regulator in ln(ρ/ρ_crit + 1) makes the function asymmetric. "Critical density" or "transition density" are misleading terms for this parameter — the correct description is saturation knee or reference density. The symbol keeps the "crit" subscript for historical continuity only: it was named in Session 53 when it was believed to mark a phase transition, every script and ledger row since carries that name, and renaming it would break the audit trail (note added 2026-09-08). It is also sector-specific: the galactic knees (0.16 to ~10³ M☉/pc³ at V = 200 km/s) and the cosmological knee (ρ_Λ/2 ≈ 4.3×10⁻⁸ M☉/pc³) differ by 6.6–10.4 orders of magnitude, and no single value works in both sectors; see the inventory on the ρ_crit page (added 2026-10-26).

A number like "2.4σ" means the result is 2.4 standard deviations from the expected value — roughly a 1-in-60 chance if the model is correct.

In statistics, σ (sigma) is the standard deviation — a measure of how spread out a distribution is. When scientists say a result is "2.4σ away" from a prediction, they mean: if the prediction were exactly correct, there is about a 1.6% chance of seeing a discrepancy this large by random chance. The conventional thresholds in physics are: 2σ = "interesting" (~2% chance), 3σ = "evidence" (~0.3% chance), 5σ = "discovery" (~0.00003% chance). A 2.4σ disagreement (like DESI DR1 vs Synchronism's fσ₈ prediction) is taken seriously but is not by itself a definitive refutation.

Measures how "lumpy" the universe is on 8 Mpc/h scales. A key cosmological parameter.

σ₈ (sigma-8) quantifies the amplitude of matter density fluctuations on scales of 8 Megaparsecs per h (where h is the dimensionless Hubble constant). A higher σ₈ means galaxies clump more strongly; a lower σ₈ means smoother distribution. Planck CMB data gives σ₈ ≈ 0.83; weak-lensing surveys (KiDS, DES) give σ₈ ≈ 0.77–0.80. This "S₈ tension" is an active area of cosmology. Synchronism Session 107 predicted σ₈ ≈ 0.76; DESI DR1 measures σ₈ = 0.841 ± 0.034, disfavoring the prediction at 2.4σ.

The share of the universe’s total energy density in all matter (Ω_m ≈ 0.315) and in ordinary, baryonic matter alone (Ω_b ≈ 0.049), from Planck 2018.

Ω_m counts dark plus ordinary matter; Ω_b counts only atoms. On this site they matter because the floored, acceleration-keyed law caps the gravity boost at 1/Ω_m ≈ 3.17 (the boost cap behind TEST-09 and TEST-10); the alternative convention Ω_m/Ω_b ≈ 6.4 gives a different cap, and the site flags which one a result used. (Entry added 2026-10-15.)