  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.
