This work presents a simple open computational test of the Livolsi variational functional through a reproducible Python implementation. The program evaluates several characteristic mass scales using two structural inputs: the vacuum expectation value v=246. 22v = 246. 22v=246. 22 GeV and a dimensionless structural constant L=0. 25L = 0. 25L=0. 25. Within this minimal framework, the code reproduces representative scales associated with multiple physical sectors: the Higgs mode as a coherent vacuum oscillation, the nucleon confinement scale linked to a cyclic Z3Z₃Z3 structure, the leptonic spectrum through eigenvalue relations of the internal Hessian, and the top quark mass scale as an intersection between the Higgs scale and the LLL-invariant structure. In addition, the computation illustrates a simple dimensional argument for a dark-to-visible matter ratio of approximately 5: 15: 15: 1, associated with orthogonal mode counting. The entire numerical experiment is implemented in a compact Python program requiring only the NumPy library, allowing immediate independent verification and reproducibility. The objective of this note is not to provide a full theoretical derivation but to offer an open and transparent computational demonstration of how these characteristic scales can be generated from a minimal structural parameter set.
Livolsi Edoardo (Mon,) studied this question.