Abstract

The symmetry principle is described in this paper. The full details are given in the book: J. Rosen, Symmetry in Science: An Introduction to the General Theory (Springer-Verlag, New York, 1995).

Highlights

  • This is a very brief review of the derivation of the symmetry principle and some of its implications

  • Paul Renaud generalized Curie’s idea and stated [3]: If an ensemble of causes is invariant with respect to any transformation, the ensemble of their effects is invariant with respect to the same transformation

  • I have stated the symmetry principle as [1]: The symmetry group of the cause is a subgroup of the symmetry group of the effect

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Summary

Introduction

This is a very brief review of the derivation of the symmetry principle ( called Curie’s symmetry principle, or the Curie principle) and some of its implications. Pierre Curie stated (in translation) [2]: It is asymmetry [“dissymétrie” in the original] that creates a phenomenon. Paul Renaud generalized Curie’s idea and stated (again in translation) [3]: If an ensemble of causes is invariant with respect to any transformation, the ensemble of their effects is invariant with respect to the same transformation. I have stated the symmetry principle as [1]: The symmetry group of the cause is a subgroup of the symmetry group of the effect. We will see how the symmetry principle is derived from the existence of causal relations in nature. I will connect the symmetry principle with the second law of thermodynamics

Causal relation
The equivalence principle
The symmetry principle
The equivalence principle for processes
The general symmetry evolution principle
The special symmetry evolution principle
Further implications

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