Symmetries in Science pp 327-336 | Cite as

# Relativistic Dynamical Groups in Quantum Theory and Some Possible Applications

## Abstract

There are many ways to measure the impact of a genius on the future — yet all these assessments are ephemeral. For most physicists, the fame of Einstein rests on his deep understanding of the fundamental coherence between space, time, and matter. Others admire his breadth of command, encompassing, besides relativity, so much of statistical physics and early quantum theory. But for many of us, yet another aspect of Einstein’s monumental work demands our admiration and grateful respect: namely, his clear understanding and insistent emphasis of underlying symmetries that, in a very real sense, govern the laws of Nature. It is important to emphasize that Einstein used the guiding principle of symmetry in its broadest sense: not only as the manifestation of an invariance under some permutation of elements, but also in the deeper connotation of an algebraic systemthat lends unity to the parts and that permits the “divination” of laws even when very little of the details pertaining to the phenomena is known to start with.^{1}

## Keywords

Central Extension Dynamical Group Event Space Internal Symmetry Galilei Group## Preview

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## References

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