Emergent time axis from statistic/gravity dualities

TL;DR

This paper proposes that time can emerge as a holographic dimension from statistical models like the Ising model, linking renormalization group flow to the flow of time in dual gravity theories, with implications for cosmology.

Contribution

It introduces a novel idea that time emerges from holographic dualities of statistical models, providing a new perspective on universe evolution and cosmological constant issues.

Findings

Renormalization group flow can be identified with time flow in dual gravity models.

The universe's evolution derived from this duality resembles our real-world history.

Preliminary evidence supports the validity of the emergent time hypothesis.

Abstract

We discuss a very naive but natural idea that time emerges as the holographic dimension of gauge systems in euclidean space, which take statistic, e.g. Ising model as concrete implementations. By identifying the renormalization group flow of statistic models with the time flow of dual gravities, we get a universe whose evolution history is qualitatively the same as our real world. We comment highlights projected by this idea on the cosmological constant problem and develop preliminary evidences for the validity of this idea.