IndisputableMonolith.Verification.MassLawCert
Verification certificate packaging the Master Mass Law: particle masses sit on the φ-ladder as yardstick times φ to a rung offset. Cite it when auditing that the mass formula is wired to RS constants without ad hoc scales. The module is a thin cert layer over MassLaw and Constants, not a deep derivation.
claimCertificate that the Master Mass Law holds in RS-native units: for a stable recognition state on rung $r$ with sector yardstick $Y$ and gap correction $\mathrm{gap}(Z)$, the mass satisfies $m = Y \, \varphi^{r-8+\mathrm{gap}(Z)}$, with coherence energy scaling fixed by the $\varphi$-ladder and $\tau_0=1$.
background
Recognition Science places every stable particle on the self-similar $\varphi$-ladder forced at T6. The Master Mass Law states that mass is coherence energy $E_{\mathrm{coh}}$ rescaled by a sector yardstick and by the rung index relative to the eight-tick octave (T7), with a small gap term in $Z$.
The upstream MassLaw module records that formula from first principles: $m$ proportional to $E_{\mathrm{coh}}$, times yardstick, times $\varphi$ raised to (rung $-8+$ gap). Constants supplies the RS time quantum $\tau_0=1$ tick so energies and masses stay in native units ($c=1$, $\hbar=\varphi^{-5}$).
This verification module does not re-derive the ladder; it packages a certificate that the mass-law statement is the one used downstream in the monolith.
proof idea
Definition and certificate module, not a multi-step proof development. It imports Constants and Masses.MassLaw, then exposes a MassLawCert object that witnesses the master formula is the active mass law. No independent tactic script; structure is import-and-certify.
why it matters in Recognition Science
Gives auditors a single named certificate that the φ-ladder mass formula (yardstick $\cdot\varphi^{r-8+\mathrm{gap}(Z)}$) is the one tied into verification, rather than an external fit. Sits in the Verification domain above MassLaw and Constants. No further used_by edges are recorded here; it is an endpoint cert for mass-law provenance inside the forcing chain’s mass sector, complementary to T6–T7 landmarks ($\varphi$, eight-tick octave).
scope and limits
- Does not prove uniqueness of the mass formula from the RCL or T5 J-cost alone.
- Does not compute numerical particle masses or fit experimental PDG values.
- Does not derive sector yardsticks or gap(Z) from first principles in this file.
- Does not address charge, spin, or mixing; mass law only.
- Does not replace MassLaw; it only certifies that module’s statement.