IndisputableMonolith.Cosmology.CDMDensityParameterFromRS
This module supplies definitions for the cold dark matter density parameter and its certification objects inside Recognition Science cosmology. It imports the RS time quantum from Constants and enumerates DMCandidate objects to produce omegaCDM together with its allowed band. The module is purely definitional and contains no proofs.
claimThe module defines $\Omega_{\rm CDM}$ (cold dark matter density parameter), $\rm DMCandidate$ (candidate types), $\rm dmCandidate\_count$, $\Omega_{\rm CDM}$ band, $\rm CDMDensityCert$, and the certified value $\rm cdmDensityCert$ in RS-native units.
background
The module sits in the cosmology domain and imports the fundamental RS time quantum $\tau_0 = 1$ tick from IndisputableMonolith.Constants. It introduces sibling definitions: DMCandidate enumerates possible dark-matter species, dmCandidate_count tallies them, omegaCDM computes the density parameter, omegaCDM_band records its interval, CDMDensityCert packages the certification, and cdmDensityCert supplies the certified instance. These objects rest on the phi-ladder mass formula and the constants module already rendered in the Recognition framework.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies the CDM density parameter required by downstream cosmological calculations in the Recognition Science framework. It directly extends the constants module (T0 time quantum) and prepares inputs for any later theorems that combine the eight-tick octave with D = 3 spatial dimensions. No used-by edges are recorded in the current graph.
scope and limits
- Does not derive numerical value of omegaCDM without further hypotheses on the phi-ladder.
- Does not perform dynamical simulations or integrate over cosmic history.
- Does not address baryon or dark-energy density parameters.
- Does not prove consistency with observed CMB data.