Interacting vector fields in Relativity without Relativity

Details Interacting vector fields in Relativity without Relativity Interacting vector fields in Relativity without Relativity

2002-01-29

arxiv.org/abs/gr-qc/0201092v2

Class.Quant.Grav. 19 (2002) 3249-3262

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Replaced with final version accepted by Classical and Quantum Gravity (14 pages, no figures)

Scientific paper

10.1088/0264-9381/19/12/309

Barbour, Foster and \'{O} Murchadha have recently developed a new framework, called here {\it{the 3-space approach}}, for the formulation of classical bosonic dynamics. Neither time nor a locally Minkowskian structure of spacetime are presupposed. Both arise as emergent features of the world from geodesic-type dynamics on a space of 3-dimensional metric--matter configurations. In fact gravity, the universal light cone and Abelian gauge theory minimally coupled to gravity all arise naturally through a single common mechanism. It yields relativity -- and more -- without presupposing relativity. This paper completes the recovery of the presently known bosonic sector within the 3-space approach. We show, for a rather general ansatz, that 3-vector fields can interact among themselves only as Yang--Mills fields minimally coupled to gravity.

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