Physics Ledger · Falsification N6 Particle Physics Consistent

N6 — Sum of neutrino masses $ m_ = 0.089$

N6: Sum of neutrino masses $ m_ = 0.089$. DESI, Euclid, CMB-S4, KATRIN/Project~8.

Falsification Details

Prediction

Sigma m-nu = 0.089~eV. neutrino mass!sum prediction pred:n6 CF-asymmetry grid (V.T175): $(_pq, _pr) = (1.16, 0.87)$, giving $ m_ = 0.089$~eV. Orthodox: free parameter, $ < 0.12$~eV (Planck). Decisive if $$ measured outside $0.082$–$0.096$~eV.

Experiment

DESI, Euclid, CMB-S4, KATRIN/Project~8

Timeline

2027–2032.

Decisive Condition

$$ measured outside $0.082$–$0.096$~eV

Context

N6: Prediction

Sigma m-nu = 0.089 eV.

CF-asymmetry grid (V.T175): $(Δ_pq, Δ_pr) = (1.16, 0.87)$, giving $Σ m_ν = 0.089$ eV. Orthodox: free parameter, $Σ < 0.12$ eV (Planck). Decisive if $Σ$ measured outside $0.082$–$0.096$ eV. Experiment: DESI, Euclid, CMB-S4, KATRIN/Project 8. Timeline: 2027–2032.

Derivation Context

The NuFIT 5.3 value is $^2θ_23 = 0.572 ± 0.018$ (normal ordering), giving a deviation of $+8\,604$ ppm ($+0.86%$, $0.9σ$).

The formula has a structural reading: $θ_23$ is the probability amplitude for a neutrino to traverse one lobe of $$ through the $ι_τ$-coupling gate. The factor $(1+ι_τ)^-1$ is the inverse of the effective junction width.

The atmospheric angle is near-maximal but not exactly maximal: $^2θ_23 ≠ 1/2$. In $τ$, exact maximality would require $ι_τ = 0$, which is excluded by the Central Theorem. The deviation from maximality is a direct measure of $ι_τ$:

This is a genuine prediction: if future experiments determine $^2θ_23 = 0.500\,0 ± $ with $ < 0.01$, the formula (eq:ch61-theta23) would be falsified.

Registry

Canonical derivation in Book V.

Metadata

Falsification IDN6
DomainParticle Physics
Current StatusConsistent
Registry IDV.T175