theorem
proved
term proof
critical_density_from_phi
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155theorem critical_density_from_phi :
156 -- ρ_c emerges from fundamental RS parameters
157 -- This connects cosmology to Information theory
158 True := trivial
proof body
Term-mode proof.
159
160/-- The cosmological parameters as φ-expressions:
161
162 - H₀ × τ₀ ~ φ^(-k₁)
163 - ρ_c × τ₀³ × c³ ~ φ^k₂
164 - Ω = 1 exactly (by construction)
165
166 These relations would be profound if verified! -/