IndisputableMonolith.Physics.CosmicMicrowaveBackgroundTemperatureFromRS
Recognition Science places the CMB temperature in the structural band (2.7, 2.8) K. The module defines the CMB observable, its count, low/high bounds, a config-dimension span, and a temperature certificate. Cosmologists checking RS scale predictions would cite the certificate. Content is definitional packaging plus a band certificate, not a deep derivation.
claimThe cosmic microwave background temperature lies in the open structural band $(2.7, 2.8)\,\mathrm{K}$. The module introduces the CMB observable and its count, the bounds $T_{\mathrm{low}}=2.7$ and $T_{\mathrm{high}}=2.8$, a span tied to configuration dimension, and a certificate that the RS prediction sits inside that interval.
background
Recognition Science fixes physical scales from the forcing chain and the Recognition Composition Law, with constants carried in RS-native units. This physics module imports the fundamental time quantum $\tau_0=1$ tick from Constants and packages a CMB temperature claim as a structural band rather than a free parameter fit.
Sibling names indicate the local vocabulary: an observable type and count, numerical low and high edges at 2.7 K and 2.8 K, a span relative to configuration dimension, and a certificate object asserting the band. The module doc states the claim directly: CMB temperature $\in(2.7,2.8)$ K as a structural band.
proof idea
Module-level structure is definitional plus a certificate, not a multi-step tactic derivation. It introduces the CMB observable and count, pins the low and high temperature edges, relates the band width to configuration dimension, and exposes a certificate that the RS temperature lies in $(2.7,2.8)$ K. Downstream users import the certificate rather than re-proving the interval.
why it matters in Recognition Science
Supplies the RS structural band for $T_{\mathrm{CMB}}$, a standard cosmological anchor alongside other RS-native predictions (alpha band, mass ladder, Berry threshold). No recorded used_by edges yet, so it is presently a leaf physics packaging of the module doc claim. Parent cosmology or multi-constant audits would cite the certificate when checking that RS scales land in accepted observational windows without free Kelvin tuning.
scope and limits
- Does not claim equality to the measured 2.725 K, only the open band (2.7, 2.8) K.
- Does not derive anisotropies, peaks, or polarization of the CMB spectrum.
- Does not spell out a first-principles map from eight-tick or D=3 into Kelvin in this module.
- Does not assert observational error bars or instrument systematics.