Ervin Goldfain. On the Emergence of Spacetime Dimensions from Kolmogorov Entropy
Submitted on: Sep 19, 2019, 09:37:28
Natural Sciences / Physics / Quantum field theory
Description: This short pedagogical report is based on a couple of premises. First, it was recently shown that the long run of non-equilibrium Renormalization Group flows is prone to end up on strange attractors. As a result, multifractals are likely to provide the proper framework for the characterization of effective field theories. Secondly, it is known that multifractal analysis uses the Kolmogorov entropy (K-entropy) to quantify the degree of disorder in chaotic systems and turbulent flows. Building on these premises, the report details the remarkable connection between K-entropy, multifractal sets and spacetime dimensions. It also supports the proposal that near and above the Fermi scale, spacetime is defined by continuous and arbitrarily small deviations from four-dimensions.
The Library of Congress (USA) reference page : http://lccn.loc.gov/cn2013300046.
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On the Emergence of Spacetime Dimensions from Kolmogorov Entropy.pdf