H_RSZeroParameterStatus
plain-language theorem explainer
The declaration packages the zero-parameter claim for Recognition Science as the conjunction of an internal derivation witness for the stellar mass-to-light ratio and the scaffolded assertion that all fundamental constants follow from the meta-principle. Astrophysicists and foundational physicists cite it when asserting that no external calibration parameters remain after the M/L derivation. The definition simply assembles the existential for ml_derived with the AllConstantsDerived hypothesis.
Claim. The stellar mass-to-light ratio equals the golden ratio $M/L = φ$ via internal derivation from recognition cost minimization, and all fundamental constants $c, ħ, G, α^{-1}$ are derived from the meta-principle.
background
The MassToLight module derives the stellar mass-to-light ratio from Recognition Science via three strategies. Stellar assembly uses J-cost weighting of photon emission versus mass storage to obtain $M/L = exp(Δδ / J_bit) = φ^n$. φ-tier nucleosynthesis places nuclear densities and photon fluxes on discrete φ-ladders yielding $M/L = φ^{Δn}$. Geometric observability limits from λ_rec, τ_0, E_coh combined with J-minimization also force $M/L$ onto the φ-ladder. The module states that with this derivation complete, Recognition Science reaches true zero-parameter status because all constants derive from the meta-principle. Upstream, ml_derived is the definition identifying the ratio with Constants.phi, while AllConstantsDerived is the scaffold hypothesis requiring a unified mapping of constant derivations.
proof idea
This is a definition that directly constructs the Prop as the conjunction of an existential witness (derivation () = ml_derived) and the AllConstantsDerived hypothesis. No tactics are applied; the body simply records the two conjuncts with a comment noting the scaffold status of the constant derivations.
why it matters
This definition supplies the hypothesis interface for the theorem rs_zero_parameter_status, which unfolds it to witness the M/L derivation and the constant scaffold. It marks the completion of the astrophysical calibration step, confirming that M/L lies on the φ-ladder without external inputs and aligning with the framework's derivation of G = φ^5 / π and the overall forcing chain from T0 to T8. The remaining open question is the master certificate that would import every constant derivation module.
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