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 → 5

1. The Coherence Ceiling and the Geometric Singularity of Binary

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DOI: 10.17605/OSF.IO/5VZ2R

Published: 2026-01-21 · Last update: 2026-05-05 · OSF: 5vz2r

2. Geometric Constants from H4 — Mathematical Framework v2.0.2

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DOI: 10.17605/OSF.IO/SJBE9

Published: 2026-01-24 · Last update: 2026-05-04 (v2.0.2 — §1.1 attribution clarification crediting Gemini for K_AUD closed-form identification, gap articulation, and naming; §6.3/§7.1/§8.3 typography correction) · OSF: sjbe9

3. Complete Framework v3.3.1

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DOI: 10.17605/OSF.IO/QH5S2

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

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DOI: 10.17605/OSF.IO/C4GK5

Published: 2026-02-04 · Last update: 2026-05-05 · OSF: c4gk5

5. The Boundary Information Invariant of Quadratic Systems

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DOI: 10.17605/OSF.IO/E72H8

Published: 2026-03-18 · Last update: 2026-04-13 · OSF: e72h8

Applications & Cross-Domain Papers

6. Cross-Domain Signatures of √2 × ln(2)

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DOI: 10.17605/OSF.IO/RA3UQ

Published: 2026-03-26 · Last update: 2026-05-05 · OSF: ra3uq

10. Saturation Constants of the Exact-Approximation Method

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DOI: 10.17605/OSF.IO/6QZRB

Published: 2026-06-02 · OSF: 6qzrb

11. The η Corridor in 3D Wilson–Fisher Critical Phenomena — Empirical Observation

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DOI: 10.17605/OSF.IO/PD73B

Published: 2026-06-02 · OSF: pd73b

11 — Verification Companion: mpmath verification of the dome identities

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DOI: 10.17605/OSF.IO/PD73B (shared with main Paper 11 above — single OSF project)

Published: 2026-06-02 · OSF: pd73b

12 — 1, 7, 124, 4318, … — Integer Mellin Moments of the Dome tanh(x)/cosh(2x)

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DOI: 10.17605/OSF.IO/WVD3G

Published: 2026-06-12 · OSF: wvd3g

Companion Documents

7. HK Full Framework (Hodgson–Kerckhoff with K_AUD context)

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DOI: 10.17605/OSF.IO/JBRHQ

Published: 2026-04-03 · Last update: 2026-04-13 · OSF: jbrhq

8. The 50 Hinge

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DOI: 10.17605/OSF.IO/FBD9A

Published: 2026-04-03 · Last update: 2026-04-13 · OSF: fbd9a

9. Binary Scaling of ρ

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DOI: 10.17605/OSF.IO/WTU4J

Published: 2026-04-03 · Last update: 2026-04-13 · OSF: wtu4j

Standalone

A Closed Form for the Hodgson–Kerckhoff Tube-Packing Coefficient

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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

Repositories & Archives

GitHub Organization · Main Repository · OSF Main Project