Interactive Tools
All of Synchronism's interactive tools in one place. Each card carries three separately-labelled slots, so you know what you're looking at before you click in: a Kind (top right — what sort of thing the tool is), a Level (the difficulty scale: Beginner / Intermediate / Advanced), and, where it applies, a Status (an operational state, square-cornered and amber, deliberately styled so it cannot be mistaken for a difficulty).
Before the legend: this is a content grouping, not the site's validation badge taxonomy. “Model Explainer” means “shows how the equation works,” not a verdict on whether the equation is correct. “Chemistry Data” and “Consciousness” name the topic, nothing more. The verdict lives in a separate slot: where a tool's own page carries a validation badge, its card shows that same badge under “Badge on its page” — no tool here is certified correct. Level uses one scale and one scale only: Beginner / Intermediate / Advanced. Artifact Lesson is not a level — it is an operational state (the site's own term, per Tier 1) marking a tool kept deliberately to demonstrate a documented failure (a sign inversion, a geometric convergence) rather than to teach a working relation. It now sits in its own Status slot.
Revision notes (history; not the current claim)
Until 2026-09-23 two Kind names were badge names, “Reparametrization” and “Speculative”. Scale unified 2026-07-23; a “Conceptual” tag previously mixed levels. Fixed 2026-09-18: until that day “Artifact Lesson” was rendered in the Level slot next to “Beginner” and “Advanced”, and two visitor personas misread it from opposite directions on the same day — one as a difficulty, one as a vocabulary collision. Three tools that had no level at all now carry one.Coherence Explorer
Model ExplainerDrag γ and ρ_crit sliders and watch the C(ρ) curve update live. See how the sparse/independent → dense/collective transition sharpens or flattens. Best first tool.
Galaxy Curve Plotter
Model ExplainerPick a SPARC galaxy and see the dark-matter problem: the gray Newtonian line (visible matter) sags below the observed dots. Violet = the framework's equation as published, which hugs the Newtonian line and never fills the gap (inert in the display's quadrature wiring; the ledger's division wiring, g_bar/C, fails the other way by over-boosting, ~10³× in g for a dwarf like DDO 154). Green = MOND's simple interpolating function. Dotted amber = a hand-tuned illustration, not computed from the theory.
γ Calculator
Model ExplainerInput N_corr (number of correlated particles) and read off γ = 2/√N_corr — then see why the formula is audited-negative: the most tightly correlated matter (BCS superconductors, BEC) gets the flattest curves, backwards from real condensed-matter physics. The galaxy preset also refutes the framework's own γ=2 assertion. Presets: ideal gas, liquid water, galaxy (SPARC best fit), enzyme site, ferromagnet, BEC, BCS superconductor.
Crossover Regime Visualizer
Model Explainer(Formerly "Phase Boundary Visualizer" — C(ρ) has no phase transition, only a smooth crossover.) Drag the γ slider and catch a refuted formula being wrong at every stop — the tool now teaches the audited sign inversion as its lesson (real BCS/BEC transitions are among nature's sharpest; the formula files them at the flat end). Each regime card carries a live reality-check line. Note: the axis here is γ, not coherence C.
Equation Anatomy
Model ExplainerStep-by-step breakdown of C(ρ) = tanh(γ·ln(ρ/ρcrit + 1)). Each step shows one equation component, its physical motivation, and why the specific functional form was chosen (not derived).
Chemistry Correlation Explorer
Chemistry DataSee how γ correlates with chemical properties across 1,703 phenomena. High r values (0.98+) reflect density-monotonicity, not Synchronism-specific physics — the page states the null-model result (a 2-parameter polynomial in Z matches every r to within 0.07, sometimes better) at the head of the table; it has no per-row null column, and how γ was assigned per material is undocumented.
Where to start: Coherence Explorer (Model Explainer) → Galaxy Plotter (Model Explainer) → Honest Assessment. “Model Explainer” is a content grouping (tools that show how the equation works), not a validation badge — no tool here certifies the model as correct; see the badge definitions on the Honest Assessment. Each tool page repeats its card label next to its own claim badges, with a one-line “tool type / claim status” caption (the Galaxy Plotter, for example, is a Model Explainer whose drawn equation is badged Failed and whose MOND-matching stand-in is badged Reparametrization).The six tools above illustrate the framework's core equation and its known reparametrizations, including the parts that failed.
Consciousness — Read Before Using
The tool below illustrates a speculative hypothesis with no empirical calibration. The convergence it displays is a mathematical property of the sigmoid, not an empirical finding about consciousness. The site's own AI review passes have repeatedly flagged it as the site's largest credibility liability (no outside human reviewer has assessed it). It is included for completeness with full disclosure.