Authors: Carlos Castro
We explore the many novel physical consequences of Born's reciprocal Relativity theory in flat phase-space and to generalize the theory to the curved phase-space scenario. We provide with six specific novel physical results resulting from Born's reciprocal Relativity and which are not present in Special Relativity. These are : momentum-dependent time delay in the emission and detection of photons; energy-dependent notion of locality; superluminal behavior; relative rotation of photon trajectories due to the aberration of light; invariance of areas-cells in phase-space and modified dispersion relations. We finalize by constructing a Born reciprocal general relativity theory in curved phase-spaces which requires the introduction of a complex Hermitian metric, torsion and nonmetricity.
Comments: 25 pages, submitted to Int. Jour. Mod. Phys A.
[v1] 19 Apr 2011
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