A new way to unify all fermion and boson fields, including gravity

Fuente: arXiv
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Auteur principal: Borštnik, N. S. Mankoč
Format: Preprint
Publié: 2025
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author Borštnik, N. S. Mankoč
author_facet Borštnik, N. S. Mankoč
contents The description of the internal spaces of fermion and boson fields with "basis vectors", which are the superposition of odd and even products of the operators $γ^a$, offers in $d=2(2n+1)$-dimensions, such as $d=(13+1)$, a unified picture of all so far observed fermions (quarks, leptons, antiquarks and antileptons that appear in families) and bosons (gravitons, photons, weak bosons, gluons and scalars), under the condition that all fields have non-zero angular momenta only in the $d =(3+1)$, $SO(3,1)$, of ordinary space-time. Bosons, which also carry the spatial index $α$ (which is for tensors and vectors $μ=(0,1,2,3)$ and for scalars $σ\ge 5$) appear in two orthogonal groups. In any $d=2(2n+1)$-dimensional space the number of internal states of fermions in all families and their Hermitian conjugate partners is equal to the number of internal states of boson states. The article presents general properties of massless fermion and boson fields and their mutual interactions in this theory, which determine the Lagrangian density of both fields and their interactions. It particularly illustrates "basis vectors" and their properties in $d=(13+1)$ and $d=(5+1)$. The article presents new results and discusses open problems in this theory.
format Preprint
id arxiv_https___arxiv_org_abs_2512_09008
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A new way to unify all fermion and boson fields, including gravity
Borštnik, N. S. Mankoč
High Energy Physics - Theory
Quantum Physics
The description of the internal spaces of fermion and boson fields with "basis vectors", which are the superposition of odd and even products of the operators $γ^a$, offers in $d=2(2n+1)$-dimensions, such as $d=(13+1)$, a unified picture of all so far observed fermions (quarks, leptons, antiquarks and antileptons that appear in families) and bosons (gravitons, photons, weak bosons, gluons and scalars), under the condition that all fields have non-zero angular momenta only in the $d =(3+1)$, $SO(3,1)$, of ordinary space-time. Bosons, which also carry the spatial index $α$ (which is for tensors and vectors $μ=(0,1,2,3)$ and for scalars $σ\ge 5$) appear in two orthogonal groups. In any $d=2(2n+1)$-dimensional space the number of internal states of fermions in all families and their Hermitian conjugate partners is equal to the number of internal states of boson states. The article presents general properties of massless fermion and boson fields and their mutual interactions in this theory, which determine the Lagrangian density of both fields and their interactions. It particularly illustrates "basis vectors" and their properties in $d=(13+1)$ and $d=(5+1)$. The article presents new results and discusses open problems in this theory.
title A new way to unify all fermion and boson fields, including gravity
topic High Energy Physics - Theory
Quantum Physics
url https://arxiv.org/abs/2512.09008