On the extension of a physical body in classical motion. An analogy between a pseudo-velocity concept and Wiener’s process in (ideal) polymer solutions

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.

Keywords

• Polymer solutions
• Brownian motion
• Universal scaling
• Special relativity