On the Extension of a Physical Body in Classical Motion. An Analogy for a Pseudo-Velocity Concept and Wiener's Process in (Ideal) Polymer Solutions

TL;DR

This paper proposes a novel analogy between a pseudo-velocity concept derived from a relativity experiment and Wiener's process, suggesting that the scaling behavior of Gaussian polymer solutions can be explained via Brownian Relativity theory.

Contribution

It introduces a new analogy linking a pseudo-velocity concept to Wiener processes, providing a theoretical basis for understanding polymer solution scaling behavior.

Findings

Pseudo-velocity concept derived from relativity experiment.

Analogy established between Wiener process covariance and polymer scaling.

Potential statistical interpretation via the central limit theorem.

Abstract

A pseudo-velocity concept, based on the extension of a linear body, is defined by a special relativity experiment. It suggests an analogy with the covariance properties of Wiener's process, ultimately implying that the scaling behavior of (Gaussian) polymer solutions can be derived from a Brownian Relativity theory, as it was formerly put forward. An ad-hoc statistical interpretation of the resulting spacetime transforms may be given by the central limit theorem.