Glossary

Maps presence to coherence: C(ρ) = tanh(γ ln(ρ/ρ_crit + 1)).

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.

Coupling strength: γ = 2/√N_corr. Determines which regime you're in.

When γ << 1, behavior is quantum. When γ ≈ 1, you're at the quantum-classical boundary. When γ >> 1, behavior is classical. Derived from N_corr. Structurally, γ encodes MRH coupling density — how efficiently compatible presence within an MRH converts into coherent state transitions (γ ∝ λ·K/D, where λ = interaction strength, K = connectivity, D = dimensionality).

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 presence level at which the coherence function transitions. ρ_crit = A × V_flat² (astrophysical case).

Below this presence level, coherence drops toward zero. Above it, coherence saturates toward one. In the astrophysical case, derived from fundamental constants and rotation velocity. More generally, ρ_crit represents the minimal presence required for sustained coherence given the system’s γ.

The minimal set of interacting degrees of freedom whose state transitions materially influence coherence evolution.

Like an event horizon for causal influence. Beyond the MRH, correlations decay below the noise floor. An MRH must satisfy predictive sufficiency (removing any element inside it degrades prediction) and predictive closure (adding elements outside it doesn’t improve prediction). In quantum mechanics, crossing the MRH IS measurement/decoherence. Presence (ρ) is defined relative to an MRH: change the MRH, presence changes.

A scalar representation of compatible degrees of freedom available within a Markov Relevancy Horizon, sufficient to support emergent coherence.

Presence is not merely quantity — it encodes compatibility, configuration, and environmental suitability. Physical density is one form of presence, but presence also encompasses temperature, energy levels, catalytic surfaces, field gradients, and lower-fractal scaffolding. Formally: ρ = f(compatibility vector), the scalar projection of a multidimensional compatibility space. Must be quantifiable, domain-transparent, MRH-dependent, and falsifiable.

Milgrom's acceleration constant: a₀ = cH₀/(2π) ≈ 1.08×10⁻¹⁰ m/s².

In MOND, this is a fundamental constant. In Synchronism, it EMERGES from cosmology — it's the Hubble acceleration divided by 2π. This is one of Synchronism's strongest results.

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 predicts the scatter should be environment-dependent.

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. The slope n depends on the sample regime: n → 4 in deep-MOND galaxies (SPARC-dominated), n ≈ 2.75 for transition-regime full samples (Synchronism Session 193), n → 2 near-Newtonian. Lelli et al. 2019 found n = 3.85 ± 0.09 for the SPARC deep-MOND-dominated sample — consistent with the regime-dependent prediction. The BTFR is a textbook MOND signature; a positive result would be consistent with both MOND and Synchronism.

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.

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.

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.

Synchronism's prediction that RAR scatter depends on environment.

Standard models predict RAR scatter is constant. Synchronism predicts it varies with local density. Statistical test: p = 5×10⁻⁶, strongly supported.

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.

How collectively a group of elements behaves, from independent (0) to fully synchronized (1).

Low coherence: elements act independently (like stars in a galaxy). High coherence: elements move in lockstep (like electrons in a superconductor). The coherence function C(ρ) maps presence to this 0–1 scale.

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 phase transition controlled by γ. At γ ≈ 1, systems sit right at the boundary — where chemistry, biology, and the most interesting physics occur.

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.

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

In Ising mean-field theory, tanh arises naturally from the self-consistency loop m = tanh(βJz·m). In Synchronism, there is no such self-consistency — the tanh shape is a phenomenological choice motivated by Landau-universality. Any sigmoid (logistic, erf, arctan, Hill) satisfying the same boundary conditions would be an equally valid choice. See /parameter-derivations for the explicit disclaimer.

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 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) produces the tanh function naturally. Synchronism borrows the tanh shape by analogy — motivated by Landau-universality — but there is no self-consistency loop in C(ρ).

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).

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

Proposed by Milgrom in 1983. Successfully predicts galaxy rotation curves without dark matter. Synchronism claims to derive MOND's acceleration constant a₀ from cosmological parameters, making it emergent rather than fundamental.

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.

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 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.

Quantitative match with independent observational or experimental data.

The claim has been compared to real data and agreed quantitatively. Not all "Validated" results are novel — some may be reparametrizations of known physics (in which case they carry both badges). "Validated" means the numbers check out, not that the physics is new.

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.

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 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 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.

Consistent with data at high statistical significance, but with caveats (prior art, limited R², etc.).

Used when the data supports the claim but the support is not fully discriminating — e.g., the effect could also be explained by an existing model, or the effect size is small. Stronger than "Supported" but weaker than "Validated."

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.

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.

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.

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.

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.

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.