# GAUGE SYMMETRY IN PHASE SPACE CONSEQUENCES FOR PHYSICS AND SPACE–TIME

@article{Bars2010GAUGESI, title={GAUGE SYMMETRY IN PHASE SPACE CONSEQUENCES FOR PHYSICS AND SPACE–TIME}, author={Itzhak Bars}, journal={International Journal of Modern Physics A}, year={2010}, volume={25}, pages={5235-5252} }

Position and momentum enter at the same level of importance in the formulation of classical or quantum mechanics. This is reflected in the invariance of Poisson brackets or quantum commutators under canonical transformations, which I regard as a global symmetry. A gauge symmetry can be defined in phase space (XM, PM) that imposes equivalence of momentum and position for every motion at every instant of the worldline. One of the consequences of this gauge symmetry is a new formulation of physics…

## 34 Citations

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- 2014

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### Metastring theory and modular space-time

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### Constraints on interacting scalars in two-time field theory and no scale models in one-time field theory

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In this paper I determine the general form of the physical and mathematical restrictions that arise on the interactions of gravity and scalar fields in the 2T field theory setting, in d + 2…

### A gauge theory of gravity in curved phase-spaces

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After a cursory introduction of the basic ideas behind Born’s Reciprocal Relativity theory, the geometry of the cotangent bundle of spacetime is studied via the introduction of nonlinear connections…

### Gravity, Two Times, Tractors, Weyl Invariance and Six Dimensional Quantum Mechanics

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- 2010

Fefferman and Graham showed some time ago that four dimensional conformal
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admitting a closed homothety.…

### Edinburgh Local Conformal Symmetry in Physics and Cosmology

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- 2013

We show how to lift a generic non-scale invariant action in Einstein frame into a locally conformally-invariant (or Weyl-invariant) theory and present a new general form for Lagrangians consistent…

### Local conformal symmetry in physics and cosmology

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We show how to lift a generic non-scale invariant action in Einstein frame into a locally conformally-invariant (or Weyl-invariant) theory and present a new general form for Lagrangians consistent…

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