Causal horizon from quantum fluctuations

TL;DR

This paper introduces a model where the flow of time emerges from quantum fluctuations and particle-antiparticle creation events, establishing a causal structure based on these quantum events.

Contribution

It presents a novel approach to defining causal horizons from quantum fluctuations and provides an explicit construction in one spatial dimension.

Findings

Causal horizons can be derived from quantum fluctuation events.

The model demonstrates how past and future can be foliated based on causal influence.

An explicit one-dimensional case construction is provided.

Abstract

We propose a simple model of quantum void where the flow of time is deduced directly from quantum fluctuations and the consequent particle-antiparticle creations. Given a certain number of space-like separated pair creation events, assumed to happen all at the same initial time, we show that past and future can be foliated into a sequence of adapted manifolds based on how many events causally influence them. We also give an explicit construction for the simplest case of one space dimension.