IndisputableMonolith.Physics.GaugeBosonMassesFromRS
This module supplies definitions for gauge boson mass ratios and the weak mixing angle derived from Recognition Science constants. It introduces massRatio, sin2thetaW_RS and GaugeBosonMassCert to support particle mass calculations in RS-native units. The structure consists of supporting positivity and bound lemmas around these objects. Physicists modeling gauge boson spectra from the phi-ladder would cite the module.
claimThe module defines a mass ratio function and certifies gauge boson masses using the RS time quantum $\tau_0=1$ together with the weak mixing angle $\sin^2\theta_W^{\rm RS}$ lying in a narrow interval.
background
The module sits inside the Recognition Science framework and imports the fundamental time quantum $\tau_0=1$ tick from Constants. It works in RS-native units where $c=1$, $\hbar=\phi^{-5}$ and $G=\phi^5/\pi$, with particle masses placed on the phi-ladder via rung and gap terms. The sibling declarations introduce massRatio together with its positivity and ordering properties, the RS expression for $\sin^2\theta_W$, and the certification object GaugeBosonMassCert.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies the base objects required for gauge boson mass derivations inside the Recognition Science framework. It connects the phi-ladder mass formula to the eight-tick octave and D=3 spatial dimensions. No downstream theorems are recorded, indicating the module functions as a self-contained physics interface.
scope and limits
- Does not compute explicit numerical masses for W or Z bosons.
- Does not link the RS expressions to collider data.
- Does not prove that the mass ratios are unique within the framework.
- Does not address higher-generation fermions or mixing angles beyond sin2thetaW_RS.