OSTOE — open-source theory of everything, claims registry

OSTOE — Open-Source Theory of Everything

A claims registry, not a forum. Every entry is a mechanism stated at a fixed resolution, labelled by what kind of statement it is, what would kill it, and what depends on it. Falsified entries stay in the registry — they are load-bearing results, not embarrassments to delete.

This registry is seeded from a real, ongoing research program (a fractal-geometry approach to gauge structure and spectral physics, audited over September 2026). Entries are written for a reader with zero prior context.

The labels

Every claim carries one primary status:

• Stated / proposed — a premise or proposed mechanism. Not derived from anything earlier in the registry; offered as an assumption.
• Established — independent evidence (experiment or a verified computation within a stated program) resolves this particular component, at the stated resolution only. Downstream claims keep their own status.
• Falsified — a discriminating observation was made, and the claim as stated did not survive it. The entry records exactly what died and what the surviving weaker claim is.
• Open gap — resolution stops here. Something necessary has not been specified. A gap is information, not a failure.

Two disciplines govern everything else:

1. Mechanism first, names second. No claim may be retrofitted into the nearest existing theorem, and no analogy may be promoted to an identity. Before formalization: what changes, what carries the connector, what would falsify it.
2. Attack connectors, not endpoints. For any chain A → B → C, the registry asks whether A actually produces B and B actually produces C — not whether the endpoints sound plausible.

Contributing

An entry is a markdown file in entries/ with frontmatter. See SCHEMA.md. The bar for entry is mechanical, not credential-based: state the mechanism at a fixed resolution, name the observation that would discriminate it, and mark your gaps honestly. Entries that fail loudly and record the failure correctly are first-class citizens here.

• Stated / proposed Method — mechanism first, resolution where earned, formalism last (2026-10-04)
• Open gap GAP — the connector from sponge combinatorics to particle multiplets is invented, not derived (2026-10-04)
• Established RESOLVED (K=2) — complement spacing is partially ordered because the C3 sector sequences are spectrally locked (2026-10-04)
• Established The bar cocycles are exactly flat but span a shrinking minority of H¹; the complement is spectrally active (2026-10-01)
• Established The first cohomology of the level-K voxel complex is exactly 3(20^K−1)/19 + 2(8^K−1)/7 (2026-10-01)
• Established Level-uniform flux on a symmetry-admitting geometry → magnetic point group → non-repelling sectors → elevated spacing_std and exact degeneracies (2026-09-30)
• Open gap GAP — no closed form predicting the spacing_std magnitude from group order alone (2026-09-30)
• Falsified FALSIFIED — "the golden ratio φ is singled out by the spectral response" (2026-09-29)
• Falsified FALSIFIED — the original φ-specific spectral fingerprint (spanning-tree basis artifact) (2026-09-24)
• Falsified FALSIFIED — the BII "gluing" prescription contributes nothing (it is a coboundary) (2026-09-24)