An 11-plane coupled PDE framework with fractional Laplacian operators, where the coupling topology is derived from the Kabbalistic Tree of Life. Two papers currently in peer review.
This page is a completely honest account of where the research stands — what has been confirmed with data, what is under review, what has been disproven, and what still needs to be done. No overclaiming. No hiding failures.
Tested against 109 real human brains (PhysioNet Motor Imagery). Pearson r = 0.767, p = 0.0097. Permutation test p = 0.0043. Sparsity pattern ranks in 99th percentile (2nd of 210 possible topologies). Alpha band emerges as central hub — uniquely predicted by Tree topology. Full reproduction code publicly available.
Submitted to Chaos, Solitons & Fractals (ID: CHAOS-D-26-01867, IF 5.3). Fractional Laplacian α=1.2 produces 7 quantitative, falsifiable predictions for non-local brain correlations via the transferred potential paradigm. Calibrated against Radin 2004 replication data (r=0.20, p=0.0005). Pre-registration: DOI 10.5281/zenodo.18823295.
Submitted to Chaos, Solitons & Fractals (ID: CHAOS-D-26-01926). A 3,000-year-old network diagram predicts the coupling structure between brain frequency bands across 109 subjects. Includes full reproduction script that downloads data and runs all statistical tests.
Full 10-plane 4D coupled PDE with all manuscript dynamics (6 Gnostic refinements, Tzimtzum boundary conditions), V9 formal physics, and Kabbalistic coupling matrix. Currently at ~102,000 steps. MeltdownFrac oscillating 0.82–0.935.
Full experiment plan designed (944 lines): dual 64-channel EEG, double-layer Faraday cages, GPS-disciplined sync, triple-blind protocol. 7 pre-registered predictions including 2 never-before-tested (bidirectional symmetry, distance-independent latency). Budget: $47K–$347K across 3 phases. Waiting on funding and collaborator (Leah Bella Attie, Grinberg's former student).
The manuscripts describe a fractional Einstein-Hilbert action that should recover standard GR in the weak-field limit with corrections < 10⁻⁴. This derivation has not been independently verified. Needs a mathematician with expertise in fractional calculus and differential geometry.
The manuscripts claimed fractional gravity with α_d=1.2 fits 70% of galaxies better than dark matter (NFW profile). We tested this on real SPARC data (124 galaxies). Result: NFW wins 98.4%, fractional gravity wins 1.6%. The original claim was never actually computed — it was generated by ChatGPT as plausible-sounding prose. This is documented honestly because science requires it.
V9 Complements claimed the Josephson junction phantom offset α=0.008 matches the fractional order α_d=1.20 in Table A.1. These are numerically different by 150× and measure different physical quantities. The offset is a voltage step fraction; the Laplacian order is a PDE operator parameter. No valid derivation connecting them has been found.
The coupled 11-field fractional PDE system has not been proven well-posed (existence, uniqueness, stability). All mathematics in the manuscripts was generated by ChatGPT and has not been independently verified. The framework needs rigorous analysis by a mathematician specializing in fractional calculus and Sobolev spaces.
V9 describes a Stückelberg-inspired mechanism for reducing the 11-plane framework to observable 4D spacetime. This is a formal construction that needs mathematical verification of consistency and convergence.
MPFST proposes that reality can be modeled as 11 coupled partial differential equation fields, where each field represents a different domain — from observable matter (Plane 0) to consciousness-as-boundary-condition (Plane 10).
The coupling topology between these planes is derived from the Kabbalistic Tree of Life (Sephirot), a network structure that is at least 3,000 years old. This is not metaphor — it is a specific, sparse adjacency matrix with defined coupling coefficients that produces testable predictions.
The key mathematical feature is a fractional Laplacian with order α ≈ 1.2 on Plane 9, which produces power-law (non-local) spatial correlations instead of the exponential decay of standard diffusion. This single parameter — motivated by EEG 1/f scaling — generates predictions for brain dynamics, gravity, and non-local correlations.
Seven pre-registered, falsifiable predictions derived from a single fractional PDE (α=1.2). Calibrated against Radin 2004 replication data. Includes two never-before-tested predictions: bidirectional symmetry and distance-independent latency. The transferred potential experiment can distinguish this model from quantum entanglement (Orch-OR).
The Tree of Life, treated as a sparse adjacency matrix, predicts which brain frequency bands couple to each other. Pearson r = 0.767 (p = 0.0097), permutation p = 0.0043, 99th percentile sparsity pattern. Alpha as central hub uniquely predicted. Full reproduction code included — downloads data and runs all tests automatically.
These documents contain the full theoretical framework including equations, derivations, and cross-domain predictions. Important caveat: all mathematics was generated through ChatGPT conversations and has not been independently verified. Some claims (galactic rotation curves, JJ offset matching) have been actively disproven. These are provided as working documents, not as verified science.
Science requires honesty about failures. The following claims appeared in earlier MPFST manuscripts and have been tested against real data. They failed. They are documented here because hiding negative results is antithetical to the research program's principles.
Claim: Fractional gravity with α_d=1.2 fits 70% of galaxies decisively better than dark matter (NFW profile).
Test: Real SPARC galaxy rotation curve database, 124 galaxies with 10+ data points, AIC model comparison.
Result: NFW wins 122/124 galaxies (98.4%). Fractional gravity wins 2/124 (1.6%). Free α_d median = 1.693, not 1.2.
Root cause: The original claim was never actually computed from data. It was generated by ChatGPT as plausible-sounding text.
Claim: The JJ phantom step offset α=0.008±0.001 matches the MPFST fractional order α_d=1.20.
Problem: These are different physical quantities (voltage offset vs. PDE operator order), differ by 150×, and no valid derivation connecting them has been found despite extensive search through 22.7 million words of development conversations.
All formal mathematics in the MPFST manuscripts — equations, derivations, numerical results — was generated through ChatGPT conversations between January and December 2025. ChatGPT is not a calculator; it is a language model that produces plausible-looking mathematics. None of these derivations have been independently verified. The research program is actively seeking collaborators with expertise in fractional calculus to provide rigorous analysis.
The failures listed above do not invalidate the entire framework. The Tree of Life EEG prediction (r=0.767, p=0.0097) was tested on real data and holds. The 7 transferred potential predictions are pre-registered and falsifiable. The simulation produces genuine emergent behavior.
Reporting failures transparently is not weakness — it is the minimal standard for any research that asks to be taken seriously. If the framework is correct, it will survive scrutiny. If it is wrong, this honesty accelerates the discovery of where and why.
The critical test. If the 7 predictions hold against real dual-EEG data from paired subjects in Faraday cages, the fractional field model gains strong empirical support. Experiment plan complete. Seeking funding ($47K Phase 1) and lab partnership.
The coupled fractional PDE system needs rigorous analysis: well-posedness, energy estimates, convergence, dimensional reduction. Seeking a mathematician specializing in fractional calculus. The pure math problem is interesting regardless of the physical interpretation.
Two papers are currently under review at Chaos, Solitons & Fractals. Expected timeline: 4–8 weeks for first decision. This page will be updated with outcomes.
This research is open. All data, code, and reproduction scripts are publicly available. If you have expertise in fractional PDEs, EEG analysis, consciousness research, or Kabbalistic scholarship — reach out. The theory needs scrutiny from every angle.