Research index

The frameworks and their working record

A project index grounded in the preserved manuscript and research history. Each branch carries its own assumptions and evidence requirements.

Papers & Publications

This site documents the ongoing mathematical and theoretical research of Thomas Lee Allen Jr., including geometric structure, spectral methods, field models, and related computational investigations.

Thomas Lee Allen Jr.’s ORCID: 0009-0007-7857-5807

Published research record

Unified Collapse Field Theory (UCFT): Canonical Geometric Spine and Transverse Selection Obstructions
Thomas Lee Allen Jr.

Read the paper on Zenodo

DOI: 10.5281/zenodo.23083832. Zenodo preprint; publication does not by itself establish peer review.

Available working record

CGG CFC UCFT Research Record

Consolidated through 26 September 2026. Packaging revision 2 adds attribution and noncommercial licensing on 1 October 2026.

The manuscript covers static Ricci-spectral geometry, the separately selected co-closed condition, shear and twist transport, conditional local classification, counterexamples, ROOT-Q dependencies, and a distinct magnetic matter calculation.

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The record is a working document. This website does not establish independent verification, peer review, novelty or a patent filing. The published Zenodo record is linked above; the downloadable working document may differ from that deposited version.

Framework index

ProgramScope in the available recordStatus
CGGStatic geometric structure, spectral area, curvature and shear transport.Conditional mathematical branch
CFCCoherent Field Collapse research and its relationship to the broader program.Developing research framework
UCFTUnified Collapse Field Theory; proposed connections among coherence, collapse and gravity.Proposed framework; claims require their own derivations and tests
CGBCScalar and soliton calculations, including canonical and DBI spectral work.Separate computational branch
ARTAromatic Resonance Theory and possible biological applications.Separate research branch; biological links remain hypotheses

Boundaries that travel with the results

Static classification

The record assumes a unit-lapse product g = −dt² + h, a nonzero curvature function r, and Rich = r(h − β ⊗ β). Co-closedness is an additional condition. The classification is local and conditional on both hypotheses.

Field dynamics

The added magnetic matter model is assessed separately from the geometric branch. Its source existence calculation does not make it a framework-native action or establish physical viability.

Quantum biology and experiments

Microtubules, electromagnetic phase and two-dimensional THz spectroscopy have appeared as proposed research directions. No experimental dataset establishing a link to this framework is presented here.

Computational script

The supplied script exports two fixed example rows. It does not calculate the invariant, period or closure error stated in its original header. Its verification printout is supplied text rather than a test result.

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Source comparison

The manuscript identifies Thomas G. Brooks, 3-Manifolds with Constant Ricci Eigenvalues (λ, λ, 0), as an external comparison for the twisting metric. Established source credit remains with its source.

Read the cited paper