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arXiv · 0706.0532

2T Physics, Scale Invariance and Topological Vector Fields

W. Chagas-Filho
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Abstract

We construct, in classical two-time physics, the necessary structure for the most general configuration space formulation of quantum mechanics containing gravity in d+2 dimensions. This structure is composed of a symmetric Riemannian metric tensor and of a vector field that defines a section of a flat U(1) bundle over space-time. This construction is possible because of the existence of a finite local scale invariance of the Hamiltonian and because two-time physics contains, at the classical level, a local generalization of the discrete duality symmetry between position and momentum that underlies the structure of quantum mechanics.

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W. Chagas-Filho. 2007-11-22. 2T Physics, Scale Invariance and Topological Vector Fields. https://doi.org/10.1007/s10773-007-9598-5

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