IndisputableMonolith.Physics.PMNSMixingAnglesFromRS
Module supplies definitions for PMNS neutrino mixing parameters derived in the Recognition Science framework. It encodes maximal mixing at tan(π/4)=1 together with solar tangent bands and a certification type. Neutrino physicists would reference these objects for RS-native angle predictions. The module consists entirely of type and constant declarations built on the imported constants module.
claimMaximal mixing satisfies $\tan(\pi/4)=1$. PMNSParameter is the type of mixing parameters; solarTangent and solarTangent_band give the solar sector; PMNSCert certifies the full set.
background
The module imports IndisputableMonolith.Constants whose sole documented object is the RS time quantum satisfying $\tau_0=1$ tick. It introduces sibling definitions PMNSParameter, pmnsParameterCount, maximal_mixing, solarTangent, solarTangent_band, PMNSCert and pmnsCert. These objects locate the neutrino mixing sector inside the same RS-native unit system used for all other constants.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies the maximal mixing relation tan(π/4)=1 that anchors PMNS derivations inside Recognition Science. It prepares the ground for PMNSCert and pmnsCert objects that certify the angles. No external downstream theorems are recorded yet.
scope and limits
- Does not derive the three mixing angles from the forcing chain.
- Does not produce numerical predictions outside the maximal and solar bands.
- Does not connect PMNS parameters to the phi-ladder mass formula.