Open Science — All Data & Code Public

Reproduce Any Result

Thirteen papers across fourteen domains. Every analysis script, dataset reference, and statistical test is published on Zenodo with DOIs. Download the code, run it, challenge it.

The Universal Parameter

Every result below uses the same fractional exponent α = 1.2, originally measured from human EEG data (Paper 2). This value was then applied — without refitting — to neutrino oscillations, galactic rotation curves, LHC collider data, gravitational wave echoes, fusion plasma transport, quantum gravity, and eight other domains. One number, fourteen domains.

EEG
α = 1.2
Brain
α = 1.2
Neutrinos
α = 1.2
Galaxies
α = 1.2
LHC
α = 1.2
GR
α = 1.2
GW
α = 1.2
Fusion
α = 1.2
QG
α = 1.2
JJ
α = 1.2
Qubits
α = 1.2
PDE
α = 1.2
Topo
α = 1.2
Plasma
α = 1.2
Paper 2

Sephirotic Network Topology Predicts EEG Cross-Frequency Coupling

The Tree of Life coupling matrix (KAPPA) predicts real EEG cross-frequency coupling across 109 human brains from PhysioNet. 8/10 connectivity predictions correct. Connected pairs 2.31× stronger than zero pairs. Alpha band emerges as central hub with 4 connections — uniquely predicted by this topology.

Key Result
r = 0.767, p = 0.0097, 109 subjects — permutation p = 0.0043
r = 0.767
KAPPA vs Empirical CFC
p = 0.0043
Permutation Test
#2 / 210
Sparsity Pattern Rank
Paper 1

Non-Local Brain Correlations — 7 Pre-Registered Predictions

The fractional field Green's function with α = 1.2 produces 7 specific quantitative predictions for the transferred potential paradigm (Grinberg-Zylberbaum 1994). Calibrated against Radin 2004 replication data. Two predictions (bidirectional symmetry, distance-independent latency) have never been tested.

Key Result
7 falsifiable predictions calibrated from Radin 2004 (r=0.20, p=0.0005)
1
Distance decay: r^(−1.8)
Distinguishes from EM, acoustic, quantum entanglement
2
Spectral enrichment: δ/γ ≈ 7×
Fractional Green’s function amplifies low frequencies
3
Sigmoid meditation curve, τ ≈ 12 min
Saturation dynamics, not linear
4
Faraday transparency
Already confirmed by Grinberg
5
Bidirectional symmetry: A→B = B→A
NEVER TESTED — novel prediction
6
Distance-independent latency
NEVER TESTED — novel prediction
7
Null control: strangers = no signal
Already confirmed
Paper 3

MiniBooNE Neutrino Anomaly — No New Particles Needed

The coupled PDE propagator with off-diagonal e-μ coupling creates neutrino flavor transitions at MiniBooNE's short baseline (541m). Energy dependence (E₀/E)^1.2 concentrates signal below 500 MeV where the actual excess lives. Uses official MiniBooNE HEPData with 60×60 fractional covariance matrix. No sterile neutrinos, no new particles.

Key Result
Δχ² = 4.20 vs null (2.0σ), α = 1.2 fixed from EEG
Paper 4

Galactic Rotation Curves — 124 SPARC Galaxies Without Dark Matter

The coupled PDE framework sources standard gravity through the Plane 9 illusions field with fractional diffusion. α = 1.2 fixed from EEG, not fitted to galaxy data. Same number of free parameters as NFW dark matter (3 each). Tested on the full SPARC database — the gold standard for rotation curve analysis. 45 decisive PDE wins vs 17 for NFW.

Key Result
PDE wins 88/124 galaxies (71.0%), p = 1.70 \u00D7 10\u207B\u2076
71%
Galaxies where PDE wins
45 vs 17
Decisive wins (PDE vs NFW)
p = 1.7×10⁻⁶
Binomial significance
Paper 5

LHC Dijet Angular Distributions — Fractional Correction Detected

CMS JetHT Run2016G dijet angular distributions show a fractional correction growing with energy, exactly as the coupled PDE framework predicts. α = 1.2 fixed from EEG. The correction enters as (M/Λ)^(2−α) with Λ = 5.91 TeV and coupling ε = 1.59 × 10³. Published CMS data, 7 mass bins from 2.4 to 7.0 TeV.

Key Result
Δχ² = 25.9 → 6.7σ, p = 2.4 × 10⁻⁶
Paper 6

General Relativity as a Low-Doping Limit

The coupled PDE framework naturally recovers standard General Relativity in the low-doping limit (solar system scales). The fractional Green's function creates an automatic transition at ~1 kpc from Newtonian-dominated to fractional-dominated gravity. No fitted acceleration scale (unlike MOND), no additional fields (unlike TeVeS).

Key Result
Cassini constraint: corrections < 1.15 \u00D7 10\u207B\u2074 \u2014 GR recovered
Paper 7

Josephson Junction Phantom Voltage Offset

The fractional inter-plane coupling parameter α_d = 1.2 (from MiniBooNE and galactic rotation) predicts the Josephson junction phantom voltage offset via α_JJ = (2−α_d)·ζ(α_d)/(2π·N^(α_d−1)). The mapping connects macroscopic doping dynamics to mesoscopic junction physics with zero additional free parameters.

Key Result
α_d = 1.2 predicts α_JJ ≈ 0.008 via topological mapping with N ≈ 5.6×10⁹ junctions
Paper 8

Anomalous Qubit Decoherence Scaling

Analysis of 15 superconducting qubits from published IBM/Google data reveals anomalous decoherence scaling T₁ ∝ f^γ with γ_obs = −2.07 ± 0.61. The MPFST prediction γ = −(α/2 + α²/4) = −1.50 falls inside the 95% confidence interval. Standard quantum mechanics predicts −0.50, which is excluded.

Key Result
T₁ ∝ f^(−2.07±0.61) — MPFST α=1.2 predicts −1.50 (inside 95% CI), standard QM −0.50 (EXCLUDED)
Paper 9

Topological Origin of α = 6/5 — Sephirotic Graph Eigenvalue

The fractional exponent α = 6/5 (1.2) is proven to be an exact eigenvalue of the normalized Laplacian of the 11-node Sephirotic graph (10 Sephirot + Da'at, 24 edges). The eigenvector is the bilateral symmetry mode. Without Da'at (10-node), closest eigenvalue is 1.2224. Da'at locks topology to α = 6/5 exactly. The parameter is a topological invariant, not empirical.

Key Result
α = 6/5 is an EXACT eigenvalue of the 11-node Sephirotic graph Laplacian (error < 10⁻¹⁶)
Paper 10

Well-Posedness of the 11-Field Coupled Fractional PDE System

Five fundamental theorems establishing the mathematical well-posedness of the MPFST coupled PDE system. Local existence via Picard contraction (factor 0.0003), energy boundedness (88% monotone decay), uniqueness via Gronwall (contraction 0.07), α=6/5 spectral lock (graph eigenvalue = PDE exponent), and global existence (no blowup to T=20). All verified numerically.

Key Result
5 theorems proven: local existence, energy boundedness, uniqueness, spectral lock, global existence
Paper 11

Emergent Quantization and Gravity from Fractional Dynamics

Quantization and gravity emerge from the same fractional operator (−Δ)^(3/5) on the 11-node Sephirotic topology. Discrete energy spectrum without quantization axioms. Gravitational potential G(r) ~ r^(−1.8) with flat rotation curves. QFT recovered at α→2 (spectral distance→0). GR recovered at α→2 (gravity deviation→0). One phase transition at g=0.025 with 307 level crossings.

Key Result
Discrete energy spectrum, G(r) ~ r⁻¹·⁸, QFT and GR recovered at α→2 — zero free parameters
Paper 12

Fractional Transport in Fusion Plasmas — 55 Measurements, 15 Tokamaks

55 published measurements from 15 tokamak devices across 5 independent observables. All predicted by α = 6/5 with zero free parameters. PSD β = 1.175±0.060 (predicted 1.2), Hurst H = 0.602±0.021 (predicted 0.6), ELM Weibull k = 1.220±0.069 (predicted 1.2), pedestal scaling −0.814±0.037 (predicted −5/6, standard −0.5 EXCLUDED at 8.45σ), transport exponent 1.205±0.038 (predicted 1.2).

Key Result
Combined χ² = 7.75, dof = 55, p ≈ 1.000 — zero free parameters across 5 observables
Paper 13

Power-Law Post-Merger Decay in Gravitational Waves — 233 Events

Analysis of 233 LIGO/Virgo gravitational wave events from the full GWOSC catalog. Post-merger ringdown shows power-law decay consistent with fractional dynamics. MPFST α=1.2 (fixed) outperforms standard exponential ringdown in 73/109 quality measurements. Combined with galactic rotation curves (Paper 4) via Fisher's method: 5.8σ significance. Gravity unification across solar system, strong-field, and galactic scales with zero free parameters.

Key Result
73/109 quality events favor MPFST (67%), p = 9.16 × 10⁻⁵ — combined Fisher 5.8σ across 3 gravity regimes

Journal Submissions

ManuscriptStatus
CHAOS-D-26-01867 — Fractional field modelUnder Review
CHAOS-D-26-01926 — Sephirotic EEG CFCUnder Review
CHAOS-D-26-02017 — MiniBooNE neutrinoUnder Review
es2026mar07_508 — One Topological Constant, 14 DomainsSubmitted
Paper 4 — Galactic rotation curvesZenodo Published
Paper 5 — LHC dijet distributionsZenodo Published
Paper 6 — GR recoveryZenodo Published
Paper 7 — JJ phantom voltageZenodo Published
Paper 8 — Qubit decoherenceZenodo Published
Paper 9 — Sephirotic eigenvalue (α=6/5 exact)Zenodo Published
Paper 10 — PDE well-posednessZenodo Published
Paper 11 — Quantization & quantum gravityZenodo Published
Paper 12 — Fusion plasma transportZenodo Published
Paper 13 — GW echoes / gravity unificationZenodo Published