Version 1
: Received: 21 December 2022 / Approved: 29 December 2022 / Online: 29 December 2022 (02:43:29 CET)
How to cite:
Christodoulou, D.M.; Kazanas, D. An Axiomatic Formulation of Dimensionless Constants in Physical Sciences Beyond their Ascertained Invariance. Preprints2022, 2022120551. https://doi.org/10.20944/preprints202212.0551.v1
Christodoulou, D.M.; Kazanas, D. An Axiomatic Formulation of Dimensionless Constants in Physical Sciences Beyond their Ascertained Invariance. Preprints 2022, 2022120551. https://doi.org/10.20944/preprints202212.0551.v1
Christodoulou, D.M.; Kazanas, D. An Axiomatic Formulation of Dimensionless Constants in Physical Sciences Beyond their Ascertained Invariance. Preprints2022, 2022120551. https://doi.org/10.20944/preprints202212.0551.v1
APA Style
Christodoulou, D.M., & Kazanas, D. (2022). An Axiomatic Formulation of Dimensionless Constants in Physical Sciences Beyond their Ascertained Invariance. Preprints. https://doi.org/10.20944/preprints202212.0551.v1
Chicago/Turabian Style
Christodoulou, D.M. and Demosthenes Kazanas. 2022 "An Axiomatic Formulation of Dimensionless Constants in Physical Sciences Beyond their Ascertained Invariance" Preprints. https://doi.org/10.20944/preprints202212.0551.v1
Abstract
Two meters is the ratio of the distance between two points according to the standard 1-meter ruler saved somewhere in France, and this comparative ratio is really equal to dimensionless number 2. We can easily repeat such comparative ratios for kilograms and any other quantities that modern physics believes they carry units. When we think about it, all physical quantities are dimensionless comparative ratios referred to standard units saved somewhere in France (never mind more complicated, derived units, they still depend on the particular items saved in France). Once this important fact is established for dimensional units, we realize how we should deal with dimensionless constants in physics: we need to determine one such constant by experiment, and then all other related dimensionless constants fall in place by simple ratios, just as has been done for dimensional units over many years in the past. For the forces of nature, we advocate the fine-structure constant as the dimensionless quantity that will serve as the baseline for other dimensionless constants representing the coupling of forces. Then, we can extend gravity in the atomic world and quantum physics into large-scale cosmology, both quite flawlessly.
Keywords
Cosmology; Elementary particles; Gravitation.
Subject
Physical Sciences, Applied Physics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.