Mathematical Physics


On the Emergence of Spacetime Dimensions from the Kolmogorov Entropy

Authors: Ervin Goldfain

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.

Comments: 5 Pages.

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Submission history

[v1] 2019-09-19 09:18:32
[v2] 2019-09-20 19:23:55
[v3] 2019-09-24 13:00:57
[v4] 2019-09-25 16:23:58

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