IndisputableMonolith.Physics.NeutrinoMassExactness
This module states the hypothesis that the sum of neutrino masses aligns with the φ-ladder prediction while satisfying the cosmological bound ∑ m_ν < 0.12 eV. Cosmologists and particle physicists checking Recognition Science against neutrino oscillation and CMB data would cite it. The module is scaffolding whose formal derivation of the mass sum from the gap series is marked TODO.
claimThe sum of neutrino masses satisfies the cosmological bound $∑ m_ν < 0.12$ eV and is consistent with the φ-ladder mass formula $m = ∑ ϕ^{r-8 + gap(Z)}$.
background
Recognition Science places every stable particle on a rung of the φ-ladder. The master mass law states that mass is proportional to coherence energy scaled by sector yardstick and rung position, with the explicit form drawn from the gap series. The constants module supplies the fundamental RS time quantum τ₀ = 1 tick.
proof idea
This is a scaffolding module containing a hypothesis interface. No proofs are present; the structure consists of the stated bound together with the TODO note that the mass sum must be derived from the gap series.
why it matters in Recognition Science
The module supplies the neutrino sector placeholder in the Recognition mass framework and links directly to the master mass law. It records the cosmological bound as a consistency check on the φ-ladder while flagging the need for higher-order Clag corrections. The scaffold touches the open derivation of exact neutrino masses from the gap series.
scope and limits
- Does not derive the explicit neutrino mass sum from the gap series.
- Does not incorporate higher-order Clag corrections.
- Does not compute individual neutrino mass eigenvalues.