Mathematical Evidence — Overview
Where the narrative wiki ends and the working math begins. The /lab toys are interactive simulators that compute, in real time, the predictions of Supreme Polarity Theory and check them against famous experiments. This section walks you through both toys with full step-by-step derivations.
Most of this wiki is narrative — it explains, in plain language, what SPT claims and why it makes physical sense. This section is operational — it shows the actual mathematics, the conditions under which each prediction is computed, and the experimental benchmarks each prediction must match.
Two interactive toy models sit at the heart of this section. Drag a slider, watch the equations update live, and see PASS / FAIL badges next to every benchmark. Click the wiki links below for the full math write-ups.
The two toys
DANode Master Simulator
Live: /lab/danode · Math: /theory/lab-danode-derivation. Three lenses (duality, phase-lock, membrane twist) all derive from one Toy Action. Recovers Newton's gravity, Coulomb, Schwarzschild metric, Eddington 1919 deflection, Mercury perihelion, GPS dilation, and 5 fundamental constants (spin-½, c, α, G, Λ).
Photon — Electron: Flip & Spin
Live: /lab/photon-flip-spin · Math: /theory/lab-photon-electron-derivation. Same node, two regimes. Pure flip → photon (m=0, v=c, Planck-Einstein E=ℏω). Add spin → electron (m=mₑ, Compton wavelength). One motion-budget rule.
What passing tests actually proves
Every benchmark in both toys currently passes. This is meaningful — but it is important to be precise about what it proves and what it does not.
✓ What it proves
(1) The Toy Action is internally consistent — no ghosts, tachyons, causality violations, or unitarity loss. (2) It can post-dict — reproduce — well-known constants and experimental results to several significant figures. (3) The same single mechanism (membrane flip + spin + phase-coupling) handles wave-particle duality, force, gravity, photon, and electron in one framework.
✗ What it does NOT prove
(1) That SPT is the unique correct theory of nature — many other frameworks also reproduce these benchmarks. (2) That every paradox of physics is solved — only the specific ones tested in the toys (≈10 benchmarks). (3) That the falsifiable predictions are correct — they are still untested ('open' status). (4) That the constants are derived from first principles — the toy uses CODATA values to calibrate, not strict ab-initio derivation.
Honest summary. The toys demonstrate SPT is consistent with measured physics — a necessary condition for any theory of everything, but not by itself a proof. Real validation requires (a) deriving the constants from a finite set of axioms with no input numbers, (b) one of the falsifiable predictions being confirmed by a future experiment, and (c) peer-reviewed publication. None of these has happened yet. The toys are the strongest evidence so far that SPT is worth taking seriously.
Where this section goes from here
- More toys — phase-lock force in atomic-scale, Bagua-slice tunnelling, dark-matter coupling, FRB phase-burst — each adding a new benchmark dimension.
- Genuine ab-initio — replace CODATA calibration with derivations of α, G, Λ from membrane geometry alone.
- Pre-registered predictions — write down the GW phase-correction and BH-entropy modification with specific numerical predictions, time-stamp them, and let LIGO / future telescopes settle them.
- Independent reproduction — open-source the toy math so other physicists can re-derive everything in their own frameworks.
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