This work presents Version 2 of the invariant information measure framework for deriving the proton–electron mass ratio from finite-resolution closure. Major improvements over Version 1 include: • Formal proof of constraint-space uniqueness under channel permutation symmetry (Theorem 1) • Explicit derivation of the effective dimension deff = k − 1 from Sk invariance• Rigorous normalization of invariant phase volume Vol (M) = π⁵ via Haar measure• Structural derivation of the prefactor k/ (k−1) from dynamic closure consistency• Removal of all heuristic or unexplained coefficients The derivation is fully reproducible and contains no fitted parameters. All constants arise from invariant closure, symmetry, and finite-resolution admissibility conditions. Associated Python code for exact reproducibility is provided in the same Zenodo record. This work forms part of the MOF–PFC–Finite-Resolution closure program, which derives physical observables from non-privileged invariant structures.
T Momose (Mon,) studied this question.