pith. sign in
def

omegaCDM

definition
show as:
module
IndisputableMonolith.Cosmology.CDMDensityParameterFromRS
domain
Cosmology
line
27 · github
papers citing
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plain-language theorem explainer

The declaration fixes the cold dark matter density parameter at 0.26. Cosmologists working inside the Recognition Science framework cite this value when matching the five-candidate count (configDim D = 5) to observed densities. It is introduced by direct numerical assignment with no computation or lemmas.

Claim. The cold dark matter density parameter is defined by the assignment $0.26$.

background

The module treats five canonical dark-matter candidates (WIMP, axion, sterile neutrino, primordial black hole, self-interacting DM) as the objects counted by configDim D = 5. It places the cold dark matter density parameter inside the interval (0.25, 0.27) while remaining inside RS-native units where c = 1 and the phi-ladder supplies the mass scale. The module doc states that Lean status is zero sorry and zero axiom.

proof idea

This is a direct definition that assigns the constant 0.26 to the real number omegaCDM. No lemmas or tactics are invoked; the body is a single literal.

why it matters

The definition supplies the numerical anchor required by the downstream CDMDensityCert structure (five candidates and the band condition) and by the theorem omegaCDM_band that verifies the open interval. It therefore closes the cosmology section to the RS claim that exactly five candidates arise when configDim equals 5.

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