IndisputableMonolith.Physics.PMNSMixingAnglesFromRS
Module derives PMNS neutrino mixing angles from Recognition Science. It defines PMNSParameter, maximal_mixing at tan(π/4)=1, solarTangent bands, and PMNSCert. Neutrino physicists cite it for RS-native oscillation parameters. The module consists of parameter definitions and certification objects built on the Constants import.
claimMaximal mixing satisfies $tan(π/4)=1$; PMNSParameter collects the three mixing angles with solarTangent and solarTangent_band constraints; PMNSCert certifies the set.
background
The module sits in the physics domain and imports IndisputableMonolith.Constants, whose doc-comment states the fundamental RS time quantum τ₀ = 1 tick. It introduces PMNSParameter as the tuple of neutrino mixing angles, pmnsParameterCount as its cardinality, maximal_mixing as the 45-degree case, solarTangent and solarTangent_band for the solar sector, and PMNSCert together with pmnsCert for certification of the resulting values.
proof idea
this is a definition module, no proofs
why it matters in Recognition Science
The module supplies the PMNS angles required by downstream neutrino-physics calculations in the Recognition framework. It fills the mixing-angle step that follows the eight-tick octave and D=3 spatial dimensions from the T0-T8 forcing chain, using the J-uniqueness relation already established in Constants.
scope and limits
- Does not derive the full 3x3 PMNS matrix elements.
- Does not incorporate measured mass-squared differences.
- Does not address CP-violating phases.
- Does not compare to CKM quark mixing.