On turbulence: deciphering a renormalization flow out of an elliptic curve

TL;DR

This paper explores the novel application of elliptic curve theory and algebraic geometry to model turbulence, focusing on scale-crossing flows and potential correlations with L-functions.

Contribution

It introduces a new approach using elliptic curves and algebraic geometry to understand turbulence and scale interactions.

Findings

Initial trials suggest correlations between escape rates of L-functions and flow observables.

The approach offers a promising algebraic geometric framework for turbulence modeling.

Abstract

Some work in progress is announced, on the use of algebraic geometry, mostly concerning elliptic curve theory, to model turbulence. Attention is given to flows across the scales, on some convenient model space, and some current trials are exposed, where one seeks for an ordinal correlation between the escape rates of some L functions and a proper observable on these mentioned flows across the scales.