An Extra Structure of Spacetime: A Space of Points, Areas and Volumes

Details An Extra Structure of Spacetime: A Space of Points, Areas and Volumes An Extra Structure of Spacetime: A Space of Points, Areas and Volumes

2006-11-08

arxiv.org/abs/gr-qc/0611050v1

J.Phys.Conf.Ser.66:012022,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages; A talk presented at the XXIX Spanish Relativity Meeting ERE 2006, 4th-8th September 2006, Palma de Mallorca, Spain

Scientific paper

10.1088/1742-6596/66/1/012022

A theory in which points, lines, areas and volumes are on on the same footing is investigated. All those geometric objects form a 16-dimensional manifold, called C-space, which generalizes spacetime. In such higher dimensional space fundamental interactions can be unified \` a la Kaluza-Klein. The ordinary, 4-dimensional, gravity and gauge fields are incorporated in the metric and spin connection, whilst the conserved gauge charges are related to the isometries of curved C-space. It is shown that a conserved generator of an isometry in C-space contains a part with derivatives, which generalizes orbital angular momentum, and a part with the generators of Clifford algebra, which generalizes spin.

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