Publications
Start wherever matches your background. Every document is self-contained.
Suggested reading paths
New to this?
Plain Language → Honest Assessment → Thesis
Physicist?
Executive Summary → Technical Summary → Math Foundations
Mathematician?
Math Foundations → Interpretive Companion
Start Here
The Physics
Executive Summary
~5 min read
Two-page overview for first contact. For physicists deciding whether to invest 30 minutes.
The Thesis
~5 min read
Central claim in condensed form: physics as mathematical necessity.
Technical Summary
~20 min read
Comprehensive technical overview. Derivation chains, gauge structure, coupling constants.
Physicist Evaluation Document
~25 min read
For professional physicists. Full evaluation-ready presentation of results and methods.
Yang-Mills Mass Gap & Glueball Spectrum
~30 min read · v1.0
Glueball spectrum from division algebra dimensions. Large-N formula 10/3 + 2/N² with χ² = 0.47, zero free parameters. 285/287 tests PASS.
Horizon Physics: Black Holes & de Sitter
~25 min read · v1.0
BH entropy factor 4 = n_d, Hawking temperature factor 8 = C × H = O, and prime 13 unification of all horizon observables. 128/128 tests PASS.
Casimir Effect as Vacuum Crystallization
~25 min read · v1.0
Casimir force as crystallization pressure, channel hierarchy (C/H/O/tilt), and falsifiable negative GW echo prediction. 49/49 tests PASS.
The Mathematics
Mathematical Foundations
Full document · v1.0
Complete, self-contained mathematical development from axioms to consequences. For mathematicians and mathematical physicists.
Interpretive Companion
~100 min read · v1.0
Section-by-section physical reading of every mathematical object. Bridges the math to physics.
Perspective Mathematics
~20 min read · v1.0
What happens when perspective examines its own blind spot. The recursive gap tower and Im(C).
Entanglement from Crystallization
~30 min read · v1.0
Bell correlations, Tsirelson bound, tensor product, and Born rule — all derived from perspective axioms. 113/113 tests PASS.
Measurement Problem Resolution
~30 min read · v1.0
All three aspects resolved from axioms. Born rule derived three independent ways. Position and momentum as Goldstone coordinates. 91/91 tests PASS.
The Process
AI-Assisted Methodology
~20 min read · v1.0
How AI was used as an exploration partner. Three-layer hallucination defense, adversarial reviews, and lessons for AI-assisted research.
Landscape Comparison
~15 min read · v1.0
How PC compares to string theory, LQG, E8, noncommutative geometry, and division algebra approaches.