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Interacting vector fields in Relativity without Relativity

Edward Anderson·Julian Barbour
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Abstract

Barbour, Foster and Ó 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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Edward Anderson, Julian Barbour. 2002-05-28. Interacting vector fields in Relativity without Relativity. https://doi.org/10.1088/0264-9381%2F19%2F12%2F309

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