Journal of High Energy Physics, Gravitation and Cosmology, 2025, 11(4), 1374-1417 https://www.scirp.org/journal/jhepgc ISSN Online: 2380-4335 ISSN Print: 2380-4327 DOI: 10.4236/jhepgc.2025.114086 Sep. 29, 2025 1374 Journal of High Energy Physics, Gravitation and Cosmology Higgs Mechanism, Elementary Particles and Quantum Foundations: A Geometrical Connection Leonardo Chiatti ASL VT Medical Physics Laboratory, Viterbo, Italy Abstract A specific structure of Standard Model (SM) particles is proposed and inves- tigated. According to this proposal, the precursor of an elementary particle is a de Sitter space tangent to ordinary spacetime; the value of the gravitational constant within such a space does not necessarily have to coincide with that relating to ordinary spacetime, and it is chosen as a function of the Higgs vac- uum. The curvature of this space is sized by the Higgs boson mass. This space is a solution of the corresponding Einstein gravitational equations, if the in- ternal density is suitably chosen and the internal pressure is assumed to be negative. An elementary fermion of the SM derives from this precursor through a redefinition of the internal gravitational constant to ensure the proportion- ality between mass and coupling constant to the Higgs field as required by the SM. The de Sitter radius then turns out to be, at the same time, the classical radius of the fermion and the “gravitational” radius in the sense of the internal gravitational constant. The quantum version of the fermion is obtained by pass- ing from the Einstein gravitational equations to the Wheeler-de Witt (WdW) equation. There are free solutions, both harmonic and exponential. The for- mer correspond to de Broglie plane waves and can be superposed in order to provide the usual solutions of the relativistic wave equations. The latter de- scribes quantum jumps in full compliance with Einstein locality. The reduc- tion of the projection postulate to a dynamical consequence on the level of elementary particles implies the production of true decoherence induced by usual microscopic interactions, without any tracing out of environmental de- grees of freedom, and the calculation of the decoherence time is illustrated in a simple case. The interaction of SM gauge bosons with elementary fermions (with and without production of quantum jumps) is modeled according to the same scheme. A possible interpretation of the fine structure constant and a formula for calculating the coefficients of the CKM, PMNS matrices are de- How to cite this paper: Chiatti, L. (2025) Higgs Mechanism, Elementary Particles and Quantum Foundations: A Geometrical Con- nection. Journal of High Energy Physics, Grav- itation and Cosmology, 11, 1374-1417. https://doi.org/10.4236/jhepgc.2025.114086 Received: July 24, 2025 Accepted: September 26, 2025 Published: September 29, 2025 Copyright © 2025 by author(s) and Scientific Research Publishing Inc. This work is licensed under the Creative Commons Attribution International License (CC BY 4.0). http://creativecommons.org/licenses/by/4.0/ Open Access