Preprint Review Version 2 Preserved in Portico This version is not peer-reviewed

The Language of Spheres in Physics

Version 1 : Received: 11 January 2024 / Approved: 12 January 2024 / Online: 12 January 2024 (09:16:28 CET)
Version 2 : Received: 5 February 2024 / Approved: 6 February 2024 / Online: 6 February 2024 (09:39:19 CET)

A peer-reviewed article of this Preprint also exists.

Gazeau, J.-P. The Language of Spheres in Physics. Universe 2024, 10, 117. Gazeau, J.-P. The Language of Spheres in Physics. Universe 2024, 10, 117.

Abstract

Physical laws manifest themselves through the amalgamation of mathematical symbols, numbers, functions, geometries, and relationships. These intricate combinations unfold within a mathematical model devised to capture and represent the ``objective reality'' of the system under examination. In this symbiotic relationship between physics and mathematics, the language of mathematics becomes a powerful tool for describing and predicting the behavior of the physical world. The language used and the associated concepts are in a perpetual state of evolution, mirroring the ongoing expansion of the phenomena accessible to our scientific understanding. In this contribution, written in honor of Richard Kerner, we delve into fundamental, at times seemingly elementary, elements of the mathematical language inherent to the physical sciences, guided by the overarching principles of symmetry and group theory. Our focus turns to the captivating realm of spheres, those strikingly symmetric entities that manifest prominently within our geometric landscape. By exploring the interplay between mathematical abstraction and the tangible beauty of symmetry, we seek to deepen our understanding of the underlying structures that govern our interpretation of the physical world.

Keywords

Numbers; Symmetry; Group Theory; Spheres

Subject

Physical Sciences, Mathematical Physics

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