Multi-Plane Field Sintergic Theory
From a single 11‑D lattice action to 4‑D Einstein–Maxwell–Schrödinger dynamics.
What is MPFST? A compact framework where one 11‑dimensional lattice action projects into ordinary spacetime, reproducing relativity, electromagnetism, quantum interference, and thermodynamics as limits of a single mechanism. The key control parameter is a dimensionless coherence amplitude mel and its excursion Δmel. When a universal threshold is crossed, projection becomes efficient and familiar laws emerge as special cases.
| Planes | Nickname | Field content | Role |
|---|---|---|---|
| 0–3 | Stage | Metric gμν, gauge Aμ, Schrödinger phase | Where events appear (4‑D observables) |
| 4–8 | Strings / Occupant band | u_p (p=4..8) | Resonant scaffolds that pre‑shape patterns |
| 9–11 | Masks & Source | d (veil), v (vantage), ζ (coherence), h (entropic wash), ϕ (gauge‑phase) | Clarity/noise routing & supply of pure coherence |
Energy & information migrate downward (11→10→4–8→0–3); whatever order appears, heat/entropy flows back via h.
All dynamics descend from one action. The projection functional carries a universal coupling λ ≈ 1.0×10⁻⁷ and a small compatibility weight α ≈ 0.18. Projection becomes efficient when λ · Δmel ≳ (1+α) × 10⁻⁸. A calibrated critical point melc ≈ 0.803 separates low/high‑coherence regimes.
u_p (p=4..8): coupled wave equations with cross‑talk.d (Plane 9): veil/turbulence and sabotage.v (Plane 10): the routing/collector bus.ζ (Plane 11): pure coherence dynamics.h: heat/entropy return flow.ϕ: drifts EM phase via (ζ−h).| Pillar | Benchmark fact | MPFST mechanism |
|---|---|---|
| Relativity | Light‑deflection 1.75″ | Ricci term on the lattice → Einstein curvature after projection |
| Quantum | Two‑slit interference | Plane‑6 phase; visibility drops when λΔmel crosses 10⁻⁸ |
| Thermodynamics | Carnot limit | Negative entropy exported by fractional‑memory field h |
| Electromagnetism | Faraday/Hall | Symbolic phase S → Aμ=∂μS, Maxwell emerges |
| Gravity | LIGO waves | Spin‑2 lattice phonon = GR graviton in weak‑field; high‑mel damps over‑tones |
Full derivations and parameter table are in the v3 manuscript (download in the Manuscript tab).