Five-dimensional relativity and two times

Five-dimensional Relativity and Two Times

It is possible that null paths in 5D appear as the timelike paths of massive particles in 4D, where there is an oscillation in the fifth dimension around the hypersurface we call spacetime. A particle in 5D may be regarded as multiply imaged in 4D, and the 4D weak equivalence principle may be regarded as a symmetry of the 5D metric.

Five-Dimensional Space-Times

Classical and Quantized Aspects of Dynamics in Five-dimensional Relativity

A null path in 5D can appear as a timelike path in 4D, and for a certain gauge in 5D the motion of a massive particle in 4D obeys the usual quantization rule with an uncertainty-type relation. Generalizations of this result are discussed in regard to induced-matter and membrane theory.

A five-dimensional extension of general relativity and quantum theory

The torsion-free de Sitter reducible metric linear connection on a fivedimensional manifold is studied in conjunction with a method of constructing spacetime via a partially restricted reference cross section of the bundle of linear frames described in earlier publications. It leads to the equation Rαβ = (1/l)gαβ where l is a fundamental length, assumed to be the Planck length. It also yields t...

General relativity from five dimensional Chern-Simons theory

We derive general relativity (GR) from a five dimensional Chern-Simons theory defined on a manifold with a boundary. The underlying mechanism is not a Kaluza-Klein reduction, rather, GR appears as an effective theory at the (four dimensional) boundary. It has been suggested many times that general relativity (GR) may not be a fundamental theory but only an effective theory arising from a still ...