MPFST produced a coupling topology derived from the Kabbalistic Tree of Life that predicts real EEG cross-frequency coupling across 109 human brains (r = 0.767, p = 0.0097). Two papers are in peer review at a top journal. But the underlying PDE framework was never built by a mathematician — and it shows. We need one.
MPFST is an 11-plane coupled PDE framework where each plane represents a scale of physical or informational dynamics — from quantum vacuum fluctuations to macroscopic observables. The planes are coupled through a sparse adjacency matrix derived from the Tree of Life (Kabbalistic Sephirot), and the PDE operators include fractional Laplacians (order α ≈ 1.2) to capture long-range spatial correlations and memory effects.
The framework was developed by Carlos Freeman, an independent researcher with a background in engineering — not pure mathematics. The mathematical content in the existing manuscripts was generated with AI assistance (ChatGPT) and has not been independently verified. Some claims that were presented as derived results were found, upon testing against real data, to be incorrect. Those failures are documented publicly.
However, the empirical results are real and statistically significant. The framework produces predictions that work — the mathematical foundations just haven't been made rigorous. That's the gap.
The core system is 11 coupled PDEs of the form:
with Plane 9 (the "illusions" field) governed by a fractional Laplacian:
The open problem: Prove existence, uniqueness, and stability of solutions for this coupled system. The fractional Laplacian (−Δ)α/2 with 1 < α ≤ 2 introduces nonlocal interactions. The coupling matrix Apq is sparse (Tree of Life topology). Does the system admit well-posed solutions in appropriate Sobolev spaces? Under what conditions?
The manuscript describes a Stückelberg-inspired mechanism for reducing the 11-plane framework to 4D spacetime. The informational planes (5–10) are not spatial dimensions — they are field amplitudes. The reduction should show that when coherence gating is "closed" (low inter-plane coupling), the system reduces to standard quantum field theory on a 4D manifold. This construction needs to be made mathematically rigorous — verify consistency, establish convergence conditions, and determine whether it preserves the symmetries required by known physics.
MPFST proposes that gravity emerges from Plane 9 dynamics via a modified Poisson equation:
The claim is that this reduces to standard GR in the weak-field limit with corrections ε < 10⁻⁴ near the Sun. This derivation needs to be done properly — starting from the fractional Einstein-Hilbert action, performing the weak-field expansion, and showing that the fractional corrections are indeed sub-dominant at solar-system scales while becoming significant at galactic scales. Note: the galactic rotation curve claims in the manuscripts were disproven on real data — this derivation may need a different value of αd or a modified approach.
The empirical EEG result (r = 0.767) shows that the Tree of Life adjacency structure predicts real brain dynamics better than 99% of possible topologies. Why? What are the spectral properties of this specific graph Laplacian? How do its eigenvalues compare to random graphs, scale-free networks, or other structured topologies? Is there something mathematically special about this sparse adjacency pattern that explains its predictive power for coupled oscillatory systems? This is a well-defined problem in spectral graph theory with a known empirical answer to aim at.
Paper 1 (in review) predicts non-local brain correlations using the Green's function of the fractional Laplacian: G(r) ∝ r−(d−α) for d = 3, α = 1.2, giving a correlation decay of r−1.8. This was calibrated against existing replication data and produces 7 falsifiable predictions including a two-regime distance model (local power-law decay + global coherence floor above a critical coherence length). The derivation from the full coupled system to this effective Green's function needs to be made rigorous — including proper treatment of the boundary conditions, the coupling terms, and the transition between the two regimes.
Coupled fractional PDEs with a fixed sparse topology derived from a specific graph structure are not well-studied. The combination of fractional Laplacians, nonlinear inter-plane coupling, and a discrete adjacency matrix from an ancient source presents problems that don't appear in the standard fractional calculus literature. These are publishable mathematical results regardless of the physical interpretation.
Most theoretical frameworks spend years looking for empirical contact. This one already has a statistically significant result (r = 0.767, p = 0.0097 across 109 subjects) and 7 pre-registered predictions waiting for experimental test. A mathematician joining now would be formalizing a framework that already makes contact with reality — not speculating in a vacuum.
The mathematical problems above are completely separable from any philosophical or mystical interpretation. "Well-posedness of coupled fractional PDEs with sparse network topology" is a pure mathematics paper. "Spectral properties of the Sephirotic graph Laplacian" is spectral graph theory. You don't need to believe anything about Kabbalah to prove a theorem about the eigenvalues of a specific adjacency matrix.
Each of the 5 problems above is a standalone publishable paper in the right journal. Well-posedness results go to the Journal of Differential Equations or Nonlinear Analysis. Spectral graph results go to Journal of Graph Theory or Linear Algebra and its Applications. Green's function work goes to Fractional Calculus and Applied Analysis. The physics framing is optional.
If the mathematical analysis confirms that this specific coupled fractional PDE system has special properties — stability characteristics, spectral features, or emergent behaviors that are topologically constrained by the Tree of Life adjacency — that would be a genuinely remarkable mathematical result. It would mean an ancient combinatorial structure happens to encode properties relevant to coupled oscillatory systems. If the analysis shows it doesn't — that the topology has no special mathematical significance — that's equally valuable and publishable as a null result. Either way, you're doing real mathematics with a clear answer at the end.
The math was not done by a mathematician. The existing manuscripts contain mathematical content generated with AI assistance (ChatGPT). Some of it may be correct. Some of it is demonstrably wrong. The galactic rotation curve results were fabricated by the AI — they were never actually computed until we tested them on real data and found they fail. We caught this, documented it, and published the failure on the front page of this website. That's the level of honesty you'll be working with.
This is independent research. There is no university affiliation, no grant funding, no institutional backing. The researcher (Carlos Freeman) runs a pool design company in Miami and develops this theory independently. The empirical testing, AI auditing, simulation code, and paper submissions were done with the help of an AI system (Warren) built on rented GPU infrastructure. This is unconventional. The results either hold up to mathematical scrutiny or they don't — the pedigree of the researcher doesn't change the eigenvalues of the matrix.
Two claims have been disproven. Galactic rotation curves: fractional gravity with αd=1.2 loses to NFW dark matter profiles on 98.4% of 124 SPARC galaxies. Josephson junction phantom offset: the claimed match between α=0.008 and αd=1.20 is numerically incorrect by 150×. These failures are documented on the main research page.
The remaining claims are either confirmed or untested. The EEG coupling topology result is confirmed with real data. The fractional field predictions are pre-registered and awaiting experimental test. The well-posedness, dimensional reduction, and GR recovery are mathematical questions with definite answers — they just haven't been answered yet. That's where you come in.
Zenodo preprint — 7 pre-registered predictions from α=1.2 fractional PDE. DOI: 10.5281/zenodo.18823781
Zenodo preprint — Tree of Life predicts EEG coupling across 109 subjects. DOI: 10.5281/zenodo.18848211
7 quantitative predictions registered before experimental test. DOI: 10.5281/zenodo.18823295
mpfst-replication-bundle — coherence meter, spectral tools, domain adapters, notebooks.
If you're a mathematician with expertise in fractional calculus, spectral graph theory, PDEs, or differential geometry — and you find these problems interesting regardless of their origin — reach out. Co-authorship on any resulting publications. Full credit. No ego. We just want the math done right.
ORCID: 0009-0005-7399-3204