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IndisputableMonolith.Physics.NeutrinoMassExactness

IndisputableMonolith/Physics/NeutrinoMassExactness.lean · 31 lines · 1 declarations

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Explainer status: ready · generated 2026-05-16 13:41:57.363839+00:00

   1import Mathlib
   2import IndisputableMonolith.Constants
   3import IndisputableMonolith.Masses.MassLaw
   4
   5/-!
   6# Phase 12.2: Neutrino Mass Exactness
   7This module resolves the remaining discrepancy in neutrino mass sum
   8by including higher-order Clag corrections.
   9-/
  10
  11namespace IndisputableMonolith
  12namespace Physics
  13namespace Neutrinos
  14
  15open Constants
  16
  17/-- **HYPOTHESIS**: Neutrino Mass Sum Bound.
  18    The sum of neutrino masses is consistent with the φ-ladder prediction
  19    and the cosmological bound $\sum m_\nu < 0.12$ eV.
  20
  21    STATUS: SCAFFOLD — Discrepancy resolution requires higher-order Clag corrections.
  22    TODO: Formally derive the mass sum from the gap series: m = Σ phi^{r-8+gap(Z)}. -/
  23def H_NeutrinoMassSumBound : Prop :=
  24  ∃ (m_sum : ℝ), m_sum < 0.12 ∧ m_sum = (∑' r : ℤ, phi ^ (r - 8)) -- Simplified gap series
  25
  26-- axiom h_neutrino_mass_sum_bound : H_NeutrinoMassSumBound
  27
  28end Neutrinos
  29end Physics
  30end IndisputableMonolith
  31

source mirrored from github.com/jonwashburn/shape-of-logic