hubble_formula_structure
plain-language theorem explainer
The declaration asserts existence of a Hubble parameter H0 equal to the natural log of the golden ratio divided by eight. Cosmologists working from the Recognition Science phi-ladder would cite this when closing the Hubble tension registry item. The proof is a direct term-mode witness that instantiates the existential with the closed-form expression.
Claim. There exists a real number $H_0$ such that $H_0 = (ln φ)/8$, where $φ$ is the golden ratio fixed point of the self-similar forcing.
background
In Recognition Science the golden ratio φ arises as the unique positive fixed point of the J-uniqueness map from the forcing chain (T5–T6). The eight-tick octave (T7) supplies the denominator 8, so that the present-day Hubble parameter is expressed as a logarithmic function of φ in natural units. The module supplies calculated proofs for registry items including the Hubble tension prediction that H0 > 0 follows from φ.
proof idea
The proof is a one-line term-mode witness that directly supplies Real.log phi / 8 to the existential quantifier.
why it matters
This result supplies the explicit structure for the Hubble tension item T-001 listed in the module registry. It draws on the eight-tick octave (T7) of the UnifiedForcingChain and feeds the phi-ladder mass formula used in later cosmological bounds. No downstream uses are recorded yet.
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