Canonical alignment notice (v10)

MPFST's canonical reference is the "MPFST Publication Manuscript (v10)". Earlier site material that framed MPFST around a mu–gamma–H coherence meter is preserved for transparency but is now archived as legacy and under reevaluation.

Open theory + replication hub

Multi-Plane Field Syntergic Theory (MPFST)

An 11-plane action/PDE proposal centered on a meltdown threshold + meltdownFrac gate used to model coherence transitions. Plane 9 is treated as a fractional nonlocal perturbation field d, and the gate is driven by the combined primary wave fields (Planes 4–8) plus the fractional nonlocal field. This site is a living preprint + replication archive.

Status & limits

  • Working draft / not peer-reviewed; claims are scoped to the manuscripts and listed tests.
  • Replication status is flagged per dossier (legend below); many items are exploratory or internally reproduced only.
  • Standard Model embedding and cosmological closure remain open programs, treated separately from the empirical tests.
  • Code, pipelines, and calibration procedures are provided where feasible; missing pieces are documented explicitly.

How to read MPFST (three layers)

  • Model definition: 11-plane PDE system with a Plane-9 fractional influence and a gate variable defined as a thresholded field fraction.
  • Operationalization: meltdownFrac (partial/full thresholds) as the gate state; mu–gamma–H appears only as an observable-level proxy in legacy material.
  • Empirical status: case studies with declared nulls, parameter calibration steps, and a replication legend (below); thresholds treated as estimable, not universal.

Evidence status legend

✅ Replicated (independent reruns exist) 🟡 Reproduced internally (awaiting independent replication) 🧪 Exploratory (hypothesis-generating; methods shared)

Operational coherence (definition vs proxy)

  • Model-internal (PDE): coherence is defined by meltdownFrac(t), the fraction of spatial sites where the multi-plane synergy field exceeds a fixed threshold (partial/full gates).
  • Data-analytic proxy: observational metrics (e.g., scaling exponents, coherence indices) are used as proxies when working with time-series; they do not define coherence in the theory.

Falsifiability / null controls

Effects are considered non-supporting if they fail to track the operational coherence proxy (meltdownFrac or declared proxy) or persist under pre-specified null transformations (time/phase/label/graph shuffles, surrogate data). These nulls and thresholds should be declared before outcome inspection wherever possible.

Terminology & glossary (standard label → legacy alias)

  • Plane-9 d: fractional nonlocal perturbation field (legacy: illusions-doping sabotage field).
  • Plane-10 v: boundary regulator (reservoir) field (legacy: vantage-doping collector field).
  • Primary wave fields u4–u8 (Planes 4–8) (legacy: occupant-doping fields).
  • Graph priors: geometric graph priors (legacy: sacred templates; e.g., hexagonal packing / hierarchical modular graph / log-spiral octave embedding).
  • h field: entropy-reservoir field (legacy: entropic back-wash / negative-entropy storage language).
  • mel: normalized coherence order parameter (legacy: coherence slider).
  • Sub-threshold burst event (legacy: synergy flicker); global coherence-locked arc (GCSA) (legacy: Global Crimson Synergy Arc).

Aims & scope

MPFST is a proposed 11-plane lattice/action framework. Under explicit reduction assumptions in the manuscripts, it is constructed to yield an effective 4-D sector intended to mirror key structures of Einstein–Maxwell dynamics coupled to a Schrödinger-type matter description, plus a fractional-memory coherence block and a projection-defined gate. Parameter values used in the current drafts are constrained via a documented calibration procedure on public datasets (e.g., Casimir-scale constraints, cosmological observations, physiological time-series), with uncertainties noted for replication.

  • Primary wave fields u4–u8 (Planes 4–8) form the active synergy domain (legacy: occupant-doping).
  • Plane-9 fractional nonlocal perturbation field d introduces memory, nonlocal transport, and gate-like irreversibility (legacy: illusions-doping sabotage field).
  • A candidate meltdown threshold (Mth) and a measurable gate state (meltdownFrac) classify partial versus full transitions; thresholds are estimable quantities, not asserted universals.

This site is an open theory and replication archive: canonical manuscripts, replication protocols, case-study dossiers, and legacy materials.

Canonical mechanics (v10)

1) Gate variable: meltdownFrac (observable classification, not an exponent manifold).

meltdownFrac is the fraction of a domain where the combined field amplitude exceeds a chosen fraction of the meltdown threshold.

M(x,t) = u4 + u5 + u6 + u7 + u8 + d

meltdownFrac(t) = (1/V) * integral[ H(|M(x,t)| - 0.8*Mth) dV ]

Defaults: partial threshold 0.5·Mth; full threshold 0.8·Mth. Treat these as estimable, report what you use.

2) Plane 9 is essential (fractional / nonlocal dynamics).

Plane-9 fractional nonlocal perturbation field d is not optional; it provides the nonlocal influence and memory needed for the gate-like irreversibility in this formulation.

3) Symbolic geometry = adjacency specification in code.

Geometric graph priors (e.g., hexagonal packing, hierarchical modular graphs, log-spiral octave embeddings) map to explicit coupling/adjacency tensors that declare which planes couple, where, and with what phase dependence.

4) HPC simulations are an exploratory tool, not the claim.

Numerical solvers are used to explore the PDE space and generate testable signatures; claims are tied to transparent, independent replication with structured null controls.

What MPFST predicts (case studies to test)

MPFST treats diverse anomalies as observational faces of the same gate crossing (partial or full meltdownFrac) under different physical scalings. Each dossier lists its evidence status (legend above).

  • Neuroscience: state-dependent phase inversions and cross-band reorganizations near gate transitions.
  • Plasmas: fast flicker events and edge/pedestal reorganizations as thresholded transitions.
  • Gravitational-wave phenomenology: delayed echo-like structure as a gate-linked reorganization signature.
  • Architecture / acoustics: resonance gains and phase windows when geometry aligns coupling topology.

Targets for replication under controlled nulls; not presented as settled conclusions.

Replication & data policy

  • Public data first: analyses are designed to be re-runnable from open archives; where access is restricted, we provide synthetic/benchmark alternatives and document gaps.
  • Transparent, pre-registered pipelines with logged parameter files and solver settings wherever possible.
  • Structured null controls (phase-scrambled, time-shifted, or surrogate data) reported alongside effects.
  • Multi-institution replication prioritized; code outputs are test generators, not evidence of empirical truth.
  • HPC resources explore the PDE space; they are not treated as direct predictors.

Working notes / mappings (not peer-reviewed)

Exploratory mappings built on top of the core PDE engine: MPFST ↔ QFT dictionary (measurement/adjacency/gauge structure), EFT/RG sketches, cosmology/GR connections, and avalanche/segmentation toolchains. Use them as hypotheses and code resources, not as settled claims.

Legacy / archived materials (mu–gamma–H coherence proxy)

Some prior MPFST material used a mu–gamma–H coherence meter and a derived score mℓ(mu,gamma,H) as an observational proxy layer. This layer is now considered legacy and is under reevaluation relative to the canonical gate definition (meltdownFrac).

It remains available for transparency and historical reproducibility, but it is not the canonical formulation.

Legacy links

Archive

Legacy analyses (under reevaluation)