Toward a standard model 2, via Kaluza ansatz 2

TL;DR

This paper introduces Kaluza ansatz 2 (KA2), a modified higher-dimensional model where large extra dimensions replace compact Planck-scale ones, leading to a new perspective on gravity, gauge interactions, and the emergence of the Standard Model 2.

Contribution

It proposes a novel higher-dimensional framework (KA2) with large extra dimensions, offering a new approach to unifying interactions and deriving Standard Model features without quantizing gravity.

Findings

Ground state includes effective torsion from vacuum dynamics.

Hierarchy between gravitational and electroweak sectors is established.

Electroweak gauge boson masses emerge without Higgs mechanism.

Abstract

New results and perspectives precipitate from the (modified as) Kaluza ansatz 2 (KA2), whereby, instead of appending $n$ Planck-scale (${\rm L_o}$) compact SL dimensions to ordinary 4D spacetime, one augments $n$ such dimensions by 3 large ones. By KA2, the fundamental role of gravity in the dynamics of vacuum geometry is being conceded to the remaining fundamental interactions. The ground state in KA2 is of the form $\bar{\cal M}^{n+4}=\bar{\cal C}^{n+1}\times\IR^3$, where the static (averaged-out over scales ${\rm L}>>{\rm L_o}$) $\bar{\cal C}^{n+1}$ carries {\em effective torsion} as relic of the deeper vacuum dynamics at Planck scale. For the simplest non-trivial implementation of KA2, the Bianchi IX subclass of SU(2)-invariant ${\cal B}^4_{\rm IX}$ provides the $\bar{\cal C}^5=\bar{\cal B}^4_{\rm M}\times S^1$, with the $S^1$ coming from 'augmentability', a complement to compactification. The classical action involves (i) the gravitational and EW sectors in elegant {\em hierarchy}, (ii) the {\em higgsless} emergence and full calculability of the EW gauge bosons masses and (iii) gravity as a necessarily effective field, hence non-quantizable. A conjectured ${\cal C}^{n+1}$ with $n\leq 7$ (to adjoin the strong interaction) toward a standard model 2, might also offer novel perspectives for supergravity.