Unified description of interactions in terms of composite fiber bundles

Details Unified description of interactions in terms of composite fiber bundles Unified description of interactions in terms of composite fiber bundles

Sep 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002phrvd..66f4025t&link_type=abstract

Physical Review D, vol. 66, Issue 6, id. 064025

Mathematics

Differential Geometry

13

Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity, Geometry, Differential Geometry, And Topology, Gauge Field Theories

Scientific paper

We claim that a composite fiber bundle satisfactorily serves as the geometrical structure underlying gauge theories of spacetime groups, such as the Poincaré gauge theory. A trivial extension of the approach to include internal symmetries also provides a unique mathematical scheme in which gravitation and the remaining forces are put together and treated in a common fiber bundle language. The result is a homogeneous characterization of interactions, gravity included, exclusively by means of connections.

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