Superspace Diffusion Framework

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8

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49

theorems

A mathematical proof architecture beginning from four axioms (A1–A4) on Wheeler superspace. From the stochastic Takens embedding sufficiency theorem and the σ = ℓ_P uniqueness result, the proof graph derives — non-parametric, from first principles — diffusional gravity and the sigma-continuum: a single stochastic scale σ interpolating across physical regimes from classical mechanics through relativistic dynamics to QED.

Every experiment executes the canonical Python codebase in-browser via Pyodide, with dual verification by SymPy (algebraic) and Lean Lite (structural).

Axioms

A1 Configuration space: Riem(Σ)/Diff(Σ) with DeWitt supermetric
A2 Stochastic evolution: dg = D[g]dτ + ℓ_PdW with σ = ℓ_P
A3 Classical correspondence: emergent Lorentzian geometry satisfies EFE
A4 Single realisation: epistemic probability, not ontological multiplicity

8 In-Browser Experiments — The Sigma-Continuum

I · Sigma-Continuum · Nine limits (C1–C9) tracing σ from classical mechanics to QED:
C1 Classical Mechanics · C2 Statistical Mechanics · C3 Radioactive Decay
C4 Quantum Mechanics · C5 Van Kampen Scaling · C6 Classical EM
C7 Relativistic Hinge · C8 Quantum Harmonic Oscillator · C9 QED Photon

Garcia, Perea Durán, Venezia & Conradie (2026). arXiv:2603.20423

Programmatic Access

MCP Server REST API llms.txt MCP Tools CITATION.cff