The unfolded universe of elementary particles. A geometric explanation of the standard model structure

TL;DR

This paper offers a geometric framework in higher dimensions to explain the structure of the standard model, linking unseen dimensions to particle multiplicities and proposing new insights into dark matter and energy.

Contribution

It introduces a novel geometric approach using a 12-dimensional theory and gauge fixing of triality to derive the standard model structure from higher-dimensional space.

Findings

Derives standard model particles from a 12D geometric model

Proposes a mechanism for Higgs field dynamics via bosonization of neutrinos

Suggests hypotheses for dark matter and dark energy

Abstract

We propose a geometric explanation of the standard model of Glashow, Weinberg and Salam for the known elementary particles. Our model is a generic Quantum Field Theory in dimension four, obtained by developing along a Lorentz sub-manifold the lagrangian of Einstein and Dirac in dimension twelve. The main mechanism which gives birth to the standard model is a certain gauge fixing of triality, which permits to identify the multiplicity of fermions, as seen from the four dimensional world, with the eight unseen dimensions of the generating universe. In this way we get the known tables of particles, explaining the series of fermions and the gauge bosons. We suggest that the Higgs field dynamics could appear through a bosonization of the right handed neutrino and correspond to a displacement in the unseen dimensions. We also propose hypotheses for dark matter, and perhaps dark energy. Then we suggest predictions to go beyond the standard model.