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 dimensional rederivation of a numerical coincidence Milgrom himself noted in 1983 (a₀ ≈ cH₀/6; the 2π vs 6 difference is ~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.)

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. 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.)

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, rejected).

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 predicts 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.

A model-selection score that penalizes free parameters. Lower BIC = better model given data. ΔBIC > 10 is 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), 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 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 and no parameter choice rescues it. (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 sigmoid/compander function, not an order parameter.

The central equation of Synchronism. Takes presence (ρ) — the density of compatible structural elements within a Markov Relevancy Horizon — and returns a coherence value between 0 and 1. Physical density (g/cm³) is one form of presence, but presence also encompasses temperature, energy levels, catalytic surfaces, and other factors that support emergence.

Note: ⚠ Physicist note: C is NOT quantum phase coherence. Quantum-coherent systems (BEC, BCS, superconductors) sit at LOW C because they have large N_corr → small γ. C measures density-driven collective ordering, the opposite of the standard CM usage.

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 no construction exceeds 2 without signaling — the substrate pays Bell's cost rather than avoiding it.

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, the opposite of the standard quantum-coherence usage. 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 tanh to compress loud signals without clipping quiet ones. 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 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.

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.

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; DESI DR1 observed ≈ 0.55 ± 0.06, above ΛCDM. This 2.4σ disagreement is the framework's first adjudication by external data.

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.

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.

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 (≈0.474). DESI DR1 measured ≈0.55 ± 0.06, above ΛCDM — a 2.4σ disagreement with Synchronism, and a sign reversal relative to the prediction.

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.

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

Each Tier-1 test has a kill criterion: a numerical threshold that, if crossed, means the framework's prediction is wrong. Example: TEST-02 kill is "wide-binary anomaly is independent of local stellar density." Kill criteria are stated before the data is analyzed, not after — this is what makes them falsifying rather than rationalizing. The set of kill criteria is the framework's most important methodological contribution.

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-03 (RAR environment scatter) has kill criterion R² < 0.20 — observed R² = 0.14, criterion triggered. TEST-04a has kill criterion fσ₈(z=0.5) > 0.46 — DESI DR1 measures ≈ 0.55, criterion 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.

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–Gambini–Pullin (CPSU 2004, PRL 93, 191301) result shows that the dimension-4 c_μν coefficient is generated at O(α/π) ~ 10⁻² — 16–28 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.

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; TEST-10 (dwarf DM dominance) — the bounded boost caps apparent DM fraction at 68.5%, which 69% of SPARC galaxies exceed; TEST-05 (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.

Number of particles moving as a correlated unit.

The fundamental input to γ = 2/√N_corr. A single electron has N_corr = 1 (γ = 2, quantum). A crystal lattice might have N_corr = 10²⁴ (γ ≈ 10⁻¹², classical).

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.)

In the framework's parallel hypothesis space; not currently in active focus but 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). Conscious states show PCI* > 0.31; 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.

Formula or derivation produced after the confirming experiment was already published.

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.

How much compatible stuff is nearby — "density" but generalized. A single word for "the right kind of neighbors within your MRH."

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.

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.

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.

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.

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.

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).

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.

⚠ Deprecated — conflicts with current stewardship discipline. Use Reparametrization, Untested, or Active-MRH instead.

⚠ 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.

A mathematical function that smoothly maps any input to a value between −1 and +1 (or 0 and 1 when shifted).

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.)

Tier 1: falsification tests runnable against existing public data (Gaia, SPARC, DESI). Tier 2: exploratory hypotheses lacking a derived amplitude or mechanism — not yet falsifiable as stated.

The tier system classifies proposed tests by readiness, not importance. Tier 1 means existing data could in principle decide the test now: a stated prediction, a stated kill criterion, and a public dataset. Tier 2 means the idea is exploratory — no derived amplitude, no specified mechanism, or no meaningful kill criterion yet (e.g. TEST-07 cosmic interference, recommended for demotion to Tier 2 by the site's own audit). There is no Tier 3. The only Tier-1 listing is on the Tier 1: Existing Data page.

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.

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.

⚠ Deprecated — no claim currently holds this badge. See Honest Assessment for the current badge system (Reparametrization, Failed, Untested, Speculative).

⚠ This badge is deprecated. The 0 of 6 "Validated" claims that survived expert audit were all demoted to Reparametrization or Failed. "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.

A prediction or test has been voluntarily retired because it was found to be contradicted by the framework itself, physically unmotivated, or replaced by a better formulation.

A Withdrawn prediction means the framework itself has disowned the test — not because external data refuted it, but because internal analysis showed it was either (a) contradicted by another part of the framework, (b) unmotivated (no derivation of the predicted amplitude), or (c) superseded by a more precise test. 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.

Transition-sharpness coefficient (dial): γ = 2/√N_corr. A motivated ansatz, not a derivation. (γ multiplies the log; it is not an exponent.)

Intuition first: γ sets how abruptly a system switches from "individuals" to "a crowd" as it gets denser — big γ means a sharp snap, small γ means a slow fade (try the presets in the γ Calculator to feel this). Large γ (few correlated units — a single electron: N_corr = 1, γ = 2) gives a sharp C(ρ) transition; small γ (many correlated units — a crystal: γ ≈ 10⁻¹²) gives a flat one. 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 in the sharpness slot 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.

The BIC difference between two models. ΔBIC > 10 = very strong evidence against the worse model; ΔBIC=+184 (point estimate) or ≥+33 (conservative) both far exceed this threshold.

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 (point estimate) or ≥+33 under conservative intra-galaxy correlation correction. Both values far exceed the >10 threshold — the γ=2 form is categorically rejected regardless of which figure is used. The free-γ form collapses to MOND (γ≈0.49), so either result closes the discriminating test.

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.

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.