Segal's chronometric theory as a completion of the special theory of relativity

Physics

Scientific paper

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Scientific paper

The main ideas and conclusions of the chronometric theory of I. Segal are surveyed. This theory differs from the special theory of relativity in that it replaces Minkowski space by a model M=R 1 ×S 3, but without specifying in the latter a Lorentz metric. In model M a 15-dimensional conformal group acts globally. Some successful applications of the chronometric theory to cosmology are mentioned, and a number of examples are cited to show the prospects for its use in the physics of elementary particles. The chronometric theory is briefly compared with the twistor program of Penrose.

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