Empirical relationship as a stepping-stone to theory
General Physics
2021-05-13 v8
Abstract
We consider parsimonious construction of empirical equations, to promote interest in them as a stepping-stone model to the physical law. To this end, we provide a variety of historical examples and simulate a parsimonious empirical calculation of Planck law, and of van der Waals equation. Thereby we provide a) Empirical forms of Planck law, and b) Collation of verified symmetries and catastrophes-like properties of empirical P-T surface of real gases. An empirical equation of state for a real gas should take account of these properties.
Cite
@article{arxiv.0810.0905,
title = {Empirical relationship as a stepping-stone to theory},
author = {Marijan Ribaric and Luka Sustersic},
journal= {arXiv preprint arXiv:0810.0905},
year = {2021}
}
Comments
By adding two pages of text and two references, we took account of editorial suggestions and emphasized the importance of parsimonious data fitting