Scale Symmetry and Friction

Sloan, David (2021) Scale Symmetry and Friction. Symmetry, 13 (9). ISSN 2073-8994

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Abstract

Dynamical similarities are non-standard symmetries found in a wide range of physical systems that identify solutions related by a change of scale. In this paper, we will show through a series of examples how this symmetry extends to the space of couplings, as measured through observations of a system. This can be exploited to focus on observations that can be used to distinguish between different theories and identify those which give rise to identical physical evolutions. These can be reduced into a description that makes no reference to scale. The resultant systems can be derived from Herglotz’s principle and generally exhibit friction. Here, we will demonstrate this through three example systems: the Kepler problem, the N-body system and Friedmann–Lemaître–Robertson–Walker cosmology.

Item Type:
Journal Article
Journal or Publication Title:
Symmetry
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/1600/1601
Subjects:
ID Code:
158944
Deposited By:
Deposited On:
03 Sep 2021 10:35
Refereed?:
Yes
Published?:
Published
Last Modified:
22 Jun 2022 23:51