IndisputableMonolith.Physics.NeutrinoMassScaleScoreCard
Scorecard module packaging RS neutrino mass-scale claims against NuFit Δm² data and fractional φ-ladder placements. Cite it when auditing deep-ladder neutrino rungs versus measured squared-mass splittings. It assembles fractional rung rows for ν1–ν3, NuFit reference rows, a φ⁷ squared-mass ratio check, and a certificate that the scorecard holds.
claimA neutrino mass-scale scorecard on the deep $\varphi$-ladder: fractional rung rows for $\nu_1,\nu_2,\nu_3$; NuFit reference rows for $\Delta m^2_{21}$ and $\Delta m^2_{31}$; a squared-mass ratio row compared to $\varphi^7$; and a certificate asserting that the assembled scorecard holds.
background
T14 (NeutrinoSector) places neutrinos on the Deep Ladder: integer rungs far below the electron ($R_e=2$), empirically even integers near $-50$. Masses follow the RS $\varphi$-ladder formula (yardstick times $\varphi$ to a rung offset with gap corrections).
RungFractions is the reporting seam for fractional rungs. The core mass model stays on integer rungs for rigidity; physics modules may quote quarter-ladder or similar placements when matching observed ratios.
This module sits at that seam. It tabulates fractional deep-ladder assignments for the three mass eigenstates, records NuFit $\Delta m^2$ anchors, and checks a characteristic squared-mass ratio against $\varphi^7$.
proof idea
Definition-and-certificate module, not a first-principles derivation. It introduces row constants (fractional $\nu$ rungs, NuFit $\Delta m^2_{21}$ and $\Delta m^2_{31}$, and a $\varphi^7$ squared-mass ratio), packages them into a scorecard certificate type, and supplies a holding lemma that discharges the certificate against those rows.
why it matters in Recognition Science
Closes the T14 neutrino-sector reporting loop by turning deep-ladder mass-scale claims into an auditable scorecard versus NuFit. The current graph lists no Lean parents (used_by empty); the module is the physics-facing summary artifact. It ties the RS mass formula on the $\varphi$-ladder to the deep-ladder hypothesis (rungs near $-50$) and flags $\varphi^7$ as the distinctive squared-mass ratio fingerprint under test.
scope and limits
- Does not derive neutrino rungs from first principles; reports and certifies placements.
- Does not prove absolute neutrino masses, only scale and ratio scorecard entries.
- Does not refresh NuFit experimental inputs dynamically.
- Does not address PMNS mixing angles or CP phase.
- Does not claim uniqueness of integer deep-ladder rungs.