Chaotic deterministic quantization in a 5D general relativity

TL;DR

This paper proposes a novel approach to quantum gravity by using chaotic dynamics in a 5D general relativity framework, suggesting that quantum properties emerge from classical chaos in higher-dimensional spacetime.

Contribution

It introduces a chaotic deterministic quantization mechanism based on 5D general relativity with BKL dynamics, offering an alternative to traditional quantization methods.

Findings

The theory exhibits mixing conditions leading to chaotic self-quantization.

Quantization of coupled fields emerges from chaotic flow in 5D spacetime.

In the zero chaos scale limit, the model aligns with stochastic quantization.

Abstract

How to quantize gravity is a major outstanding open question in quantum physics. While many approaches assume Einstein's theory is an effective low-energy theory, another possibility is that standard methods of quantization are the problem. In this paper, I analyze a quantization mechanism based on chaotic dynamics of 5D general relativity (with imaginary time) with BKL dynamics in the mixmaster universe as an example. I propose that the randomness of quantum mechanics as well as its other properties such as nonlocality derive from chaotic flow of 4D spacetime through a 5th dimension, with the metric tensor under Wick rotation to Euclidean space acting as a heat bath for other quantum fields. This is done by showing that the theory meets mixing conditions such that it is chaotically self-quantizing and quantizes other fields to which it is coupled, such that in the limit taking chaotic dynamics scale to zero the quantization is equivalent to a stochastic quantization. A classical stability analysis shows this dimension is likely spacelike.