ml_nucleosynthesis_eq_phi
plain-language theorem explainer
The nucleosynthesis-derived mass-to-light ratio equals the golden ratio φ. Researchers comparing stellar assembly and nucleosynthesis strategies cite this to confirm agreement on the value φ. The proof is a direct term-mode reduction that unfolds the phi-ladder and tier-difference definitions then simplifies the local tier constants.
Claim. The nucleosynthesis-derived mass-to-light ratio equals the golden ratio $φ$.
background
In the φ-tier nucleosynthesis module, physical quantities occupy discrete tiers. The phi-ladder at tier n is φ^n. Nuclear tier local equals 12 and luminosity tier local equals 11, so tier difference equals 1. The nucleosynthesis M/L is defined as the phi-ladder evaluated at this difference.
proof idea
The proof unfolds ml_nucleosynthesis, phi_ladder, and tier_difference, then applies simp on nuclear_tier_local, luminosity_tier_local, and zpow_one. It is a direct term-mode reduction showing the tier difference equals 1, hence φ^1 = φ.
why it matters
This equality feeds three_strategies_agree, which shows the thermodynamic, scaling, and architectural derivations agree, and also supports ml_from_phi_tier_structure together with ml_matches_stellar_observations. It fills the module's main result that M/L lies in {φ^n : n ∈ [0,3]} with typical value φ^1, consistent with eight-tick quantization.
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