The main reading route lives in paper/. This directory contains focused TeX papers that develop one mathematical, physical, computational, or interpretive branch in depth. Research notes written in Markdown live in docs/research/.
The working terms distinguish the proposed complete-history interpretation from repair fixed points, stationary laws and local operational time. Mathematical, physical and psychophysical conclusions retain their separate premises. An operational observer need not be conscious.
- Observation-Determined Normal Forms (source, bibliography) develops stability, obstructions, and refinement for constraint and rewrite systems.
- Finite Quantum Event Algebras (source, bibliography) develops the finite event surface.
- Explaining the Yang–Mills Mass Gap with Observer-Patch Repair Dynamics (source) develops the fixed-cutoff gap and continuum-transfer program.
- The Positive-Chamber Koide Identity for Icosahedral Face Circulants (source) proves the exact positive-eigenvalue identity (Q=1/3+(2/3)(|b|/a)^2) and the conditional finite tracial Gelfand–Naimark–Segal balance. Physical charged-family attachment, phase, and numerical mass ratios are open; the target-informed numerical near-match is diagnostic.
- The de Sitter Time-Advance Sign from a Finite Screen with Fixed Capacity (source) proves the pure-de-Sitter shock normalization, finite entropy maximum, uniform capacity-transfer law, analytic curvature, and line-graph spectrum identity. The time-advance interpretation is conditional on an explicit physical dictionary.
- The Fine-Structure Constant as an OPH Pixel Fixed Point (source) develops the local closure calculation and its certificates.
The string-vacuum selector and the patch-net model of cognition left the
active set; their sources and last built PDFs are in
paper/archive/, listed in the
paper set.
All root-level TeX papers in this directory can be rebuilt from the repository root with:
python3 tools/build_tex_papers.py --extra-only