IndisputableMonolith.Cosmology.CosmicMicrowaveBackgroundFromRS
This module assembles definitions to derive the first CMB acoustic peak multipole from Recognition Science parameters. Cosmologists testing RS-derived models against Planck data would cite the relation yielding 220. It is a definition module with no proofs that composes baryonRung and configDim.
claim$\ell_1 = \text{baryon rung} \times \text{configuration dimension} = 220$
background
The module belongs to the Cosmology domain and imports the Constants module. That upstream module defines the fundamental RS time quantum as $\tau_0 = 1$ tick.
It introduces sibling definitions including baryonRung, configDim, firstPeak, secondPeakRatio, and CMBCert. These together produce acoustic peak positions and a certification object for Planck comparison.
The local setting is the direct extraction of standard cosmological observables from the J-function and phi-ladder of Recognition Science.
proof idea
this is a definition module, no proofs
why it matters in Recognition Science
The module supplies the CMB peak predictions that feed higher-level cosmology claims in the Recognition Science framework. It realizes the observable consequence of the forcing chain steps T7 (eight-tick octave) and T8 (D = 3) by fixing the first peak at 220, consistent with the alpha band and mass ladder.
scope and limits
- Does not derive the full CMB angular power spectrum C_ℓ.
- Does not include polarization or tensor mode contributions.
- Does not address late-time integrated Sachs-Wolfe effects.