Sub-degree PMNS shifts motivated by braid / chiral-mode language stay inside a declared χ² band; CP violation track (J) remains perturbative.

Purpose

Expose **PMNS-level** phenomenology with explicit $\chi^2$ gates against PDG-like central angles and modulus elements, plus sensitivity of the Jarlskog invariant — using small, documented 'SVT-inspired' angle shifts (not derived from braid combinatorics in this file).

What it proves

For the chosen toy shifts, angle $\chi^2$ , element $\chi^2$ , and relative $J$ drift all pass declared tolerances, showing the bookkeeping expected of a NuFIT-style tension sheet.

Relation to current theory

Extends sim_21 / sim_26 oscillation and mixing language to a reviewer-facing **error-bar** presentation; does not replace a full seesaw or generation construction.

Key equation

U_{\rm PMNS}(\theta_{12},\theta_{13},\theta_{23},\delta)\,{\rm from\ PDG\ parameterisation; } \chi^2 = \sum_i (\Delta\theta_i/\sigma_i)^2 + \cdots

Interactive visualization

SVT predictionSub-degree PMNS shifts motivated by braid / chiral-mode language stay inside a declared χ² band; CP violation track (J) remains perturbative.

Plots

stdout tail

=================================================================
 SVT Simulation #61: PMNS angles, χ² band, Jarlskog
=================================================================
  χ² (angle shifts vs 1σ)     : 1.08  (tol 9)
  χ² (|U| elements, σ=0.02)   : 1.04  (tol 25)
  |ΔJ|/|J|                    : 0.002  (tol 0.35)

=================== VALIDATION ===================
  angle χ² gate                : PASS
  |U| χ² gate                  : PASS
  Jarlskog drift               : PASS
  Overall                      : PASS

  SVT Prediction: Sub-degree PMNS shifts motivated by braid / chiral-mode language stay inside a declared χ² band; CP violation track (J) remains perturbative.
==================================================

  Matches data:   YES — Validated