Hexad Preons and Emergent Gravity in 3-dimensional Complex Spacetime

TL;DR

This paper proposes a novel model where each spatial dimension has its own time dimension, forming a 3D complex spacetime, with fundamental Hexad Preons fields leading to emergent gravity and matter formation.

Contribution

It introduces a new high-energy framework with Hexad Preons and complex spacetime, explaining matter and forces emergence through gauge symmetry breaking.

Findings

Emergence of spacetime metric from gauge symmetry breakdown

Formation of matter states from Hexad Preon condensates

Unified view of forces as hypercolor interactions

Abstract

We suggest that at high energy each space dimension has their own time dimension, forming a 3-dimensional complex spacetime. Based on this hypothesis, we propose that the primordial universe is made of six fundamental anticommutative fields and their complex conjugate states. These fields are called Hexad Preons which carry hypercolor degree of freedom transforming under U(3,3) gauge group. Upon the breakdown of the gauge group from U(3,3) to its maximal compact subgroup $U(3)\otimes U(3)$, the metric emerges. Leptons, quarks, as well as other matter states may be formed from the subsequent condensate of Hexad Preons. Strong and electroweak forces are manifestations of the hypercolor interaction in the corresponding cases. Our framework may shed light on many problems in cosmology and particle physics.