IndisputableMonolith.Cosmology.NeutrinoHierarchyFromPhiLadder
This module defines neutrino states and mass splitting ratios derived from the phi-ladder in Recognition Science cosmology. Particle physicists and cosmologists modeling neutrino masses in RS-native units would cite it for the three-state hierarchy certificate. The module consists entirely of type definitions, ratio functions, and a certification structure with no theorems or proofs.
claimNeutrino states are the three flavors with mass splitting ratio given by $m_i / m_j = phi^{r}$ for rung $r$ on the phi-ladder, certified by NeutrinoHierarchyCert.
background
Recognition Science assigns masses via the phi-ladder formula yardstick times phi to the power of (rung minus 8 plus gap(Z)). The imported Constants module supplies the base time quantum tau_0 equal to one tick. This module specializes the ladder construction to neutrinos by introducing NeutrinoState, the count function, the massSplitRatio definition, and its positivity and equality properties.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies the NeutrinoHierarchyCert that integrates the phi-ladder mass assignment into cosmology. It connects directly to the mass formula and supports predictions inside the eight-tick octave and D=3 spatial structure of Recognition Science.
scope and limits
- Does not derive absolute neutrino mass values.
- Does not incorporate oscillation parameters or mixing angles.
- Does not address sterile neutrinos or non-standard hierarchies.
- Does not link to experimental bounds or cosmological constraints.