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

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 R...

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Bibliographic Details
Published in:Results in physics 2022-03, Vol.34, p.105202, Article 105202
Main Author: Mezzasalma, Stefano A.
Format: Article
Language:English
Subjects:
Brownian motion
Polymer solutions
Special relativity
Universal scaling
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Summary: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.
ISSN:2211-3797
2211-3797
DOI:10.1016/j.rinp.2022.105202