feat: γ-conjecture paper — GI1 Barbero-Immirzi from golden section

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Trinity γ-Paper: Conjecture GI1

TL;DR

Propose γ = φ⁻³ = √5 − 2 ≈ 0.23607 as an algebraically exact candidate for the Barbero-Immirzi parameter, competing with the LQG standard value γ₁ = ln(2)/(π√3) ≈ 0.23753.

The gap Δ(γ₁ − γ_φ) = 0.63% is 22× smaller than the internal LQG dispute between γ₁ and γ₂ (13.9%).

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Files added

File	Description
research/trinity-gamma-paper/GAMMA_PAPER_DRAFT_v0.1.md	Full IMRaD paper draft
research/trinity-gamma-paper/PREREGISTRATION.md	H-A / H-B / H-C pre-registered hypotheses
research/trinity-gamma-paper/README.md	Entry point
specs/physics/gamma_conjecture.t27	Formal GI1 spec with TDD tests
bootstrap/src/math_compare.rs	--gamma-conflict flag (compiles, wiring pending #303)
research/trinity-pellis-paper/FORMULA_TABLE.md	γ-section added (BH1, SH1, SC3, SC4)
research/README.md	Index of both papers

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Key numbers

• γ_φ = φ⁻³ = √5 − 2 = 0.23606797749978969...
• γ₁ (Meissner 2004) = ln(2)/(π√3) = 0.23753295805...
• Δ = +0.63%
• Affected formulas: G1, BH1, SH1, SC3, SC4

Open items

• Issue feat(cloud): add tri cloud version command #303: wire --gamma-conflict into main.rs Commands enum
• Pre-register PREREGISTRATION.md on OSF before running numerical analysis

Related: closes the γ-conflict identified in external/opencode/.../phase4-consistency.md