Papers

Public

Informal papers prepared for public release, including documents written for collaborators and partners.

Foundations

The mathematical spine of Morphological Physics. Titles listed for reference; papers not currently public.

2026
44 pp

Mathematical Foundations of Morphological Physics

The morphological construction and its consequences

2026
30 pp

The Information Hierarchy of Geometric Space

How the eigenvalue spectrum of geometric space builds matter, encodes information, and interweaves gravity with quantum mechanics

2025
42 pp

The Riemann Mapping Theorem

A constructive solution

2026
24 pp

Distribution Distance and the d=1 Coincidence

Agreement with the classical statistical energy distance

2026
28 pp

Taming High-Dimensional Problems in Rⁿ

Modeling Rⁿ as a bounded space

2026
26 pp

Probability is Energy

The statistical-gravitational unification of the morphic field

2026
15 pp

Companion Notes to the Underlying Theory Slides

Reference document

Hard Problems

Papers applying the framework to open questions in mathematics and physics. These are internal documents, listed so the reader can see what the institute is thinking about that has not reached the experimental level; none is available here. They are quarantined on purpose. Most of the original ideas in this section are off, and the status lines below say how. The framework they were written in has since been corrected; the Monograph page's notes say where the current work stands, and nothing here has been rederived against it yet. Read these as a record of where the framework was tried and where it broke, not as results.

On the Navier–Stokes and Yang–Mills entries, the reason is worth stating once. This framework is a different kind of model from the ones those prizes are posed in, and the questions as posed do not arise in it.

Navier–Stokes. The states the problem asks about are nodes of the field, and the field is smooth through its nodes. This model never discards the variable that resolves the question, so the blowup the Clay problem asks after is not something it can produce. That is not a solution. It is a formulation in which the problem does not come up.

Yang–Mills. This model is not QCD, and the reader should be clear about that before anything else. The gap here is a constraint — the strong vacuum's quanta density is nonzero — rather than a theorem about the algebra the conjecture is posed over.

Neither is a proof of either conjecture, and we claim none. They are what this model has to say about the physics those questions were asked about, and they are reported as such.

2025
38 pp

The Riemann Hypothesis as a Consequence of Morphological Physics

A derivation from the underlying morphological principle

Withdrawn. The argument does not hold and is not being revised.

2026
40 pp

Global Regularity of Geometric Fluid Flow on S^3

Full paper

Not a proof. The flux bound loses a normalisation and becomes critical; the ordering lemma is circular; the descent from S³ to ℝ³ fails. What survives is a small-data theorem with an explicit constant, and a reframing of the Clay question as a bound with a uniformity condition. A corrected note is in preparation. The papers stay up until it replaces them.

2026
12 pp

Global Regularity of Geometric Fluid Flow on S^3

Technical summary

Companion to the paper above; the same status applies.

2026
29 pp

Solution to the Yang-Mills Mass Gap Problem

A morphological construction

Not a solution, and the title overclaims. In the current framework the gap is a constraint the model imposes, not a theorem of the algebra. The honest content is the model's own form of the question, one derived relation, and a ledger of what matches data only after an identification. Working notes dated October 2026 replace the paper's claims.

2026
32 pp

Cosmological Observables from the Geometry of Space

The redshift law and the primordial helium fraction

Under investigation. The coasting distance law against Pantheon+ stands as an empirical statement. The redshift mechanism and the helium fraction depend on identifications made in the earlier geometry that are not forced and have not been rederived in the current one.

2026
22 pp

Plasma Cascades

A structural result for confinement dynamics

Under investigation. The structural result rests on one identity that stands independently of the fluid-flow papers; whether the rest does is being checked. The plasma experiment page has been taken down while the model is incomplete.

Applications

Papers extending the framework into specific applied domains. These rest on the morphological core, which came through the 2026 revision intact. The DNA program — the genetic alphabet, coupling anisotropy, the taxonomical cascade — is the clearest case: its geometry survives the revision as written. Its fine-detail claims are not yet confirmed, and that is the open work.

2026
25 pp

Morphological Physics and the Implications for Space Travel

Boundary morphology and propulsion geometry

2025
28 pp

The Geometric Origin of the Genetic Alphabet

Part I: The derivation

2025
20 pp

Coupling Anisotropy and DNA Deformability

A morphological reading of sequence-dependent mechanics

2026
20 pp

The Taxonomical Cascade of Life

Classifying Life from Morphological Fragments

Extensions

Papers exploring the framework's reach into questions of meaning.

2025
20 pp

Sacred Sound and the Eigenvalue Spectrum of Geometric Space

The voice of geometric space

2025
15 pp

The Word Became Flesh

A morphological reading

2025
24 pp

Eigenvalue Christology

What the framework predicts about the Gospel claims

2025
26 pp

Eigenvalue Engineering Across Sacred Traditions

How every major tradition optimizes the same physics