Quantum Gravity and String Theory


Einstein’s Dream

Authors: David A. Edwards

The singularities of ordinary General Relativity can be avoided by considering the (mathematically well-defined) Einstein-Yang-Mills-Dirac-Higgs system which is (heuristically) the super-classical limit of the (not mathematically well-defined) Standard Model. This system has complete solutions without singularities, solitons, and a Cyclic Universe solution. (The system has negative energy density; hence doesn't satisfy the positivity conditions in the Penrose-Hawking Singularity Theorems.) One would like to be able to apply deformation quantization to this system to get a mathematically rigorous Standard Model in a Curved Noncommutative Spacetime. This would obviate any necessity of going further to a full quantum gravity theory. The deformation parameter would be Planck’s constant and the associated Planck Length would be the scale at which the manifold structure of spacetime gives way to a rougher structure of a noncommutative geometry. The Einstein-Yang-Mills-Dirac-Higgs Equations provide an alternative approach to a Cyclic Universe which Penrose has recently been advocating. They also imply that the massive compact objects now classified as Black Holes are actually Quark Stars, possibly with event horizons, but without singularities.

Comments: 17 Pages.

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Submission history

[v1] 2017-07-05 04:12:49

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