Towards the geometrization of physics

Details Towards the geometrization of physics Towards the geometrization of physics

May 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986natur.321..417s&link_type=abstract

Nature, Volume 321, Issue 6068, pp. 417-419 (1986).

Mathematics

5

Scientific paper

The concept of symmetry breaking may be expressed mathematically by the reduction of a structure group, for example, choosing a point on a sphere reduces its symmetry group from the group of all rotations to the subgroup of rotations fixing that point. A systematic analysis of Penrose's twistor equation1,2 has revealed that twistor theory embodies a truth of nature: that interactive gravitational field theories in space-time correspond to such a symmetry breakdown-a breakdown that occurs, not in space-time, but in twistor space-the space of null geodesies of space-time. In particular, twistor theory lies at the heart of supergravity.

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