Documents
Direct access to all published Gap Geometry documents. Plain text, PDF, and archival links for each.
Foundation Papers
Reading order: 1 → 2 → 3 → 4
1. The Coherence Ceiling and the Geometric Singularity of Binary
Published: 2026-01-21 · Last update: 2026-05-05 · OSF: 5vz2r
2. Geometric Constants from H4 — Mathematical Framework v2.0.2
Published: 2026-01-24 · Last update: 2026-05-04 (v2.0.2 — §1.1 attribution clarification crediting Gemini for KAUD closed-form identification, gap articulation, and naming; §6.3/§7.1/§8.3 typography correction) · OSF: sjbe9
3. Complete Framework v3.3.1
Published: 2026-01-25 · Last update: 2026-05-04 (v3.3.1 — typography correction in §6.3 φ-scaling ratio test; top banner UPDATE NOTICE added) · OSF: qh5s2
4. Gap Scaling Across Domains: The 400/11 Formula
Published: 2026-02-04 · Last update: 2026-05-05 · OSF: c4gk5
Companion Papers
5. The Boundary Information Invariant of Quadratic Systems
Published: 2026-03-18 · Last update: 2026-04-13 · OSF: e72h8
6. Cross-Domain Signatures of √2 × ln(2)
Published: 2026-03-26 · Last update: 2026-05-05 · OSF: ra3uq
7. HK Full Framework (Hodgson–Kerckhoff with K_AUD context)
Published: 2026-04-03 · Last update: 2026-04-13 · OSF: jbrhq
8. The 50 Hinge
Published: 2026-04-03 · Last update: 2026-04-13 · OSF: fbd9a
9. Binary Scaling of ρ
Published: 2026-04-03 · Last update: 2026-04-13 · OSF: wtu4j
Standalone
A Closed Form for the Hodgson–Kerckhoff Tube-Packing Coefficient
DOI: 10.17605/OSF.IO/2EXPN — Separate repository: GitHub
Published: 2026-04-03 · Last update: 2026-05-04 (§3 ellipse-area correction; §3.1 added — second appearance of √2·ln(2) in HK 2007 c(R)) · OSF: 2expn