Analogy in Physics

  • Henryk Piersa The John Paul II Catholic University of Lublin, Faculty of Philosophy, Prof. emeritus
Keywords: geometrical optics; light ray; index of refraction; geometrical optics of electrons; Fermat’s principles; Hamilton’s principles; first-order approximation or Gaussian optics; second-order approximation; aberration; electric field; electric potential; velocity potential; electric line of forces; stream line; perfect liquid; motion in two dimensions; syntactics; law

Abstract

Based upon the example of geometrical optics and  geometrical optics of electrons, as well as the theory of the electric field and the theory of the flow of the perfect liquid in two dimensions, the analogy of the laws of physics have been discussed.

In the awareness of physicists, the analogy is a syntactical identity, of the physically interpreted mathematical formulas, describing the laws of physics.

In the paper, it has been presented some relevant laws of the two pairs of the theories being compared. For the three cases, it has been provided the appropriate photographs presenting the results of the empirical tests of some of the relevant laws.

References

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Published
2020-06-09
Section
Articles