NuclearTier
plain-language theorem explainer
NuclearTier packages a positive integer index on the φ-ladder to label nuclear densities above the Planck scale. Astrophysicists computing mass-to-light ratios from tier differences in Recognition Science would cite it when applying the eight-tick nucleosynthesis constraint. The declaration is a structure definition that records the tier together with its positivity condition.
Claim. A nuclear tier is an integer $n$ on the φ-ladder satisfying $n > 0$, with the corresponding density satisfying $ρ_{nuc} = φ^n ρ_{Planck}$.
background
The module derives the mass-to-light ratio from the discrete φ-tier structure of nuclear densities and photon fluxes. PhiTier is the abbrev for ℤ, the integer index on the φ-ladder. Nuclear density is expressed as ρ_nuc ~ φ^{n_nuclear} × ρ_Planck while luminosity follows a parallel tier; their ratio is then φ to the power of the tier difference.
proof idea
This is a structure definition. It directly wraps a PhiTier value with the inequality 0 < tier; the doc-comment supplies the physical reading via the eight-tick analysis but adds no computational steps.
why it matters
NuclearTier supplies the nuclear input to the M/L derivation in this module, which concludes M/L ∈ {φ^n : n ∈ [0,3]}. It implements the eight-tick nucleosynthesis step of the Recognition framework, consistent with the T7 octave period from the upstream tick definition. The result aligns the nucleosynthesis route with the independent Strategy 1 calculation of the same ratio.
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