Living Document Archive
Archived versions of the Gap Geometry Living Document. Each version is preserved as a PDF (for humans) and a text file (for machines and archival). The current version is always on the Living Document page.
How This Archive Works
The Living Document always reflects the current state of the framework. When the Living Document is updated, the outgoing version is archived here as a dated PDF + text pair. GitHub also preserves the full commit history, but this archive provides clean, direct access to each version without requiring knowledge of version control.
Archived Versions
v1.3
5 May 2026
Cross-paper link architecture overhaul. Papers 1, 2, 3, 4, and 6 had paper-to-paper file URLs (which would break under any future filename change) replaced with a durable three-anchor block: OSF main project, About page, and Direct Documents download index. Paper-specific DOIs preserved (DOIs are stable). Per-paper Update entries added/extended on the Living Document. OSF deep-link IDs refreshed across all hub HTMLs after each push. No mathematical content changed in any paper. Same-day pre-link-cleanup state archived as the v1.2 snapshot below.
v1.2
2 May 2026 — Superseded 5 May 2026
Evidence-level unification. The Living Document now uses the three-level evidence classification from the Methodology page: Level 1 — Exact [Theorem], Level 2 — Empirical [Observation], Level 3 — Conjectural [Conjecture]. The existing Verified / Conjectural / Open status badges are retained as secondary labels that map onto the primary levels. A new “Level” column is added to the Summary of Claims table. The Verification Protocol section now references all three levels by name.
v1.1
13 April 2026 — Superseded 2 May 2026
Three-threshold refinement of the 35–37 zone. The earlier single “Landauer crossing” framing is replaced with three distinct thresholds: the Landauer crossing at n·G = ln 2 (n ≈ 35.11), the geometric-damping threshold at n·G = 1/√2 (n ≈ 35.82), and the Shannon bound at n·G = 1/(2 ln 2) (n ≈ 36.54). The identity 1/(2 ln 2) − 1/√2 = G/(2 ln 2) is retitled as the “√2-to-Shannon gap identity”. All OSF files refreshed to match.
Note on v1.0. The initial release (v1.0) and the three-threshold refinement (v1.1) were published the same day, 13 April 2026. Version 1.0 existed for only a few hours before being corrected. No separate PDF was archived for v1.0. The PDFs above reflect the corrected v1.1 state. The pre-correction HTML is preserved in the Git history.
Naming Convention
Archived files follow this pattern:
living-document_v{VERSION}_{YYYY-MM-DD}.pdf
living-document_v{VERSION}_{YYYY-MM-DD}.txt