From Topological Invariants to Observable Physics: Toward a Structural Origin of the Standard Model

From Topological Invariants to Physical Observables

抄録

We revise and clarify the topological-invariant framework previously proposed as a structural route from phase topology to observable physics.
The purpose of this paper is not to present a completed quantitative replacement of the Standard Model,
but to formulate a minimal effective ansatz in which topological or loop-like invariants are mapped to low-energy observables such as mass scales,
charges, and effective interaction terms. The construction is compared with established Standard Model physics, current Higgs-sector constraints,
recent work on generalized symmetries and topological defect operators in quantum field theory, and contemporary studies of the flavor/Yukawa hierarchy problem.
Within this revised scope, Yukawa-like hierarchies are interpreted as possible invariant-dependent readouts rather than as already derived numerical predictions.
The resulting framework should therefore be regarded as a structural hypothesis whose next required tests are explicit spectra, coupling fits, and phenomenological consistency checks.