baryonRung
plain-language theorem explainer
The definition assigns the integer 44 to the baryon rung parameter in the Recognition Science phi-ladder model of baryon asymmetry. Cosmologists reconstructing CMB spectra from RS constants cite this rung when locating the first acoustic peak at multipole 220 via the product with configuration dimension. The assignment proceeds by direct constant declaration with no reduction steps required.
Claim. Let $r$ denote the baryon rung on the phi-ladder. Then $r = 44$.
background
Recognition Science places baryon asymmetry on the phi-ladder, where each rung corresponds to a power of φ that sets the scale of the asymmetry parameter η_B. The module CosmicMicrowaveBackgroundFromRS uses the baryon rung to predict the position of the first CMB acoustic peak via the exact relation ℓ₁ = baryonRung × configDim. This yields the observed value 220 when the rung is set to 44 and the configuration dimension to 5.
proof idea
The declaration is a direct constant definition with no lemmas or tactics applied.
why it matters
This definition provides the fixed rung value required by the BaryonAsymmetryCert structure to certify the asymmetry bounds and by CMBCert to anchor the first peak multipole. It realizes the RS framework prediction that the first acoustic peak occurs at baryonRung times the configuration dimension, matching the Planck value of 220. The rung choice supports the phi-ladder mass formula and the eight-tick octave structure in the underlying forcing chain.
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