On the Origin of Time and the Universe

TL;DR

This paper proposes a novel quantum gravity framework based on a generalized Matrix theory, explaining the universe's low entropy and arrow of time through a mathematical structure where geodesic distances vanish, leading to a hot, ordered initial state.

Contribution

It introduces a new approach linking a generalized Matrix theory and complex non-linear Grassmannian geometry to the origin of time and universe's initial low entropy state.

Findings

Mathematically relates geodesic distance to a zero entropy initial state.

Models the early universe as a metastable phase transition driven by fluctuations.

Provides a new perspective on the arrow of time from geometric properties.

Abstract

We present a novel solution to the low entropy and arrow of time puzzles of the initial state of the Universe. Our approach derives from the physics of a specific generalization of Matrix theory put forth in earlier work as the basis for a quantum theory of gravity. The particular dynamical state space of this theory, the infinite dimensional analogue of the Fubini-Study metric over a complex non-linear Grassmannian, has recently been studied by Michor and Mumford. The geodesic distance between any two points on this space is zero. Here we show that this mathematical result translates to a description of a hot, zero entropy state and an arrow of time after the Big Bang. This is modeled as a far from equilibrium, large fluctuation driven, "freezing by heating" metastable ordered phase transition of a non-linear dissipative dynamical system.