The Mass Concept in the Layer Theory of Spacetime: Geometric Origin of Fermion Masses, Higgs Coupling Deformations, and Experimental Tests

We propose a minimal geometric mechanism for fermion mass hierarchies inwhich the Standard Model fields propagate in a warped five-dimensional effectivefield theory with an additional energetic layering coordinate z. Observed fourdimensional fermion masses arise from profile overlap integrals along z with auniversal fundamental Yukawa interaction, without introducing new particles, gauge forces, or flavor symmetries beyond the SM field content. A key phenomenological ingredient is a controlled distinction between the Higgsvacuum profile v (z) and the physical Higgs fluctuation profile fh (z). Once thefermion localization centers zf are fixed by the measured fermion masses viathe mass-overlap relation, the model predicts a correlated and monotonic patternof Higgs Yukawa deformations κf as a function of fermion mass. We confrontthese predictions with current ATLAS and CMS Higgs coupling measurements inthe resolved-loop κ framework using a fully correlated global χ2 analysis based onthe published combination inputs. The resulting best-fit region is consistent withpresent data and implies the characteristic ordering κµ < κτ ≲ κb < κt ≃ 1. The framework is therefore falsifiable with high-luminosity LHC measurements, in particular through improved precision on κµ and ratios such as κµ/κτ.