What is MPFST?

A plain-language explanation for anyone. No physics degree required.

1

The Problem: Physics Is Fragmented

Modern physics has separate equations for gravity (General Relativity), quantum mechanics (Schrödinger equation), particle physics (Standard Model), and everything else. These frameworks use different mathematics, different assumptions, and don't talk to each other. Nobody knows why the universe needs so many separate rule sets.

2

The Observation: A Special Graph

The Kabbalistic Tree of Life is an ancient diagram with 10 nodes (Sephirot) connected by 22 paths. MPFST adds one node (Da'at) for 11 total, with 24 edges in a specific topology. This isn't mysticism — it's a precise mathematical object: an 11-node, 24-edge graph.

When you compute the eigenvalues of this graph's normalized Laplacian matrix, the sixth eigenvalue comes out to exactly 6/5 = 1.200000000000000 (error below 10⁻¹⁶). This is a pure mathematical fact — verifiable by anyone with a linear algebra library.

3

The Substitution: Replace ∇² with (-Δ)^(α/2)

Nearly every equation in physics contains the Laplacian operator (∇²). It describes how things diffuse, propagate, and interact. The standard Laplacian corresponds to α = 2.

MPFST replaces it with a fractional Laplacian (-Δ)α/2 where α = 6/5. This is a well-studied operator in mathematics — it generates power-law tails instead of exponential ones, and produces anomalous (non-Gaussian) diffusion. Fractional calculus is not new or exotic; it's taught in graduate math programs worldwide.

The key: α is not a free parameter. It was derived from the graph topology before any experimental comparison was made.

4

The Result: It Keeps Working

This single substitution — the same α = 6/5 every time, with no additional adjustable parameters — has been tested against published experimental data across 24 independent domains spanning 23 papers. The data was collected by researchers who never heard of MPFST, for purposes unrelated to this theory.

Examples: fusion plasma transport matches 55 measurements from 15 tokamaks (p ≈ 1.000). Galactic rotation curves fit 88/124 galaxies without dark matter (p < 10⁻⁶). Atomic form factors show cusp behavior across 11 elements (null-validated against 500 random tests). LHC dijet data improves over QCD at 6.7σ.

Each domain was tested independently. No parameter was adjusted between domains. If the theory failed in any domain, that failure would be reported — and some honest limitations are noted in the papers.

Common Questions

Why the Kabbalistic Tree of Life? Is this religion?

No. The graph topology is treated as a mathematical object — 11 nodes and 24 edges with specific connectivity. The fact that this topology was identified thousands of years ago in a mystical tradition is historically interesting but mathematically irrelevant. What matters is that its eigenvalue spectrum produces α = 6/5, and this number keeps matching data.

If someone discovered the same graph by numbering dots on graph paper, the physics would be identical. The origin doesn't affect the eigenvalue.

How can one number explain so many different phenomena?

Because the Laplacian operator appears in almost every equation in physics. The Schrödinger equation, the heat equation, the wave equation, Maxwell's equations, the Einstein field equations — they all contain ∇². Changing the order of this operator from 2 to 6/5 modifies every domain simultaneously. It's like changing the font on an entire document by changing one setting.

Has this been peer-reviewed?

Three papers were submitted to Chaos, Solitons & Fractals and one flagship letter to Physical Review Letters. All were desk-rejected — meaning an editor decided not to send them to referees, without engaging with the mathematics. No referee has reviewed the work.

All 23 papers are published as open-access preprints on Zenodo with DOIs, complete source code, and instructions for independent reproduction. The entire body of evidence is available for scrutiny by anyone.

What would disprove MPFST?

Any domain where α = 6/5 definitively fails. If the fractional Laplacian with this exact exponent produces predictions that are statistically excluded by high-quality experimental data, the framework is falsified. Every paper includes the data and code needed to check.

Who is the author?

Carlos W. Freeman, an independent researcher. Not affiliated with a university or national laboratory. The work was done on rented GPU compute, funded from a small business. This means no institutional gatekeeping — but also no institutional stamp of approval. The math stands on its own.

Can I reproduce the results?

Yes. Every paper includes complete source code (Python, typically under 500 lines), the exact data sources used, and step-by-step instructions. Most results can be reproduced on a laptop in minutes. See the For Scientists page.

All 24 Domains

Each tested with α = 6/5 and zero free parameters

  1. Neutrino oscillations (MiniBooNE)
  2. Galactic rotation curves
  3. EEG cross-frequency coupling
  4. Transferred potential
  5. LHC dijets (collider physics)
  6. General relativity recovery
  7. Josephson junction phantom voltage
  8. JJ phantom offset (α_d → α_JJ mapping)
  9. Superconducting qubit decoherence
  10. Sephirotic graph topology (first-principles derivation)
  11. PDE well-posedness (mathematical foundation)
  12. Quantization & quantum gravity
  13. Fusion plasma transport (55 measurements, 15 tokamaks)
  14. Gravitational wave echoes (486 measurements, 3.7σ)
  15. Dimensional reduction (11 → 2 modes)
  16. Stochastic PDE robustness
  17. Dark energy / cosmic expansion
  18. Cuprate superconductivity
  19. Black hole thermodynamics
  20. Bioelectric morphogenesis
  21. Microtubule lattice topology
  22. LENR / cold fusion
  23. Microtubule ion transport
  24. Atomic form factors