Topology Change of Spacetime and Resolution of Spacetime Singularity in Emergent Gravity

Abstract

Emergent gravity is based on the Darboux theorem or the Moser lemma in symplectic geometry stating that the electromagnetic force can always be eliminated by a local coordinate transformation as far as U(1) gauge theory is defined on a spacetime with symplectic structure. In this approach, the spacetime geometry is defined by U(1) gauge fields on noncommutative (NC) spacetime. Accordingly the topology of spacetime is determined by the topology of NC U(1) gauge fields. We show that the topology change of spacetime is ample in emergent gravity and the subsequent resolution of spacetime singularity is possible in NC spacetime. Therefore the emergent gravity approach provides a well-defined mechanism for the topology change of spacetime which does not suffer any spacetime singularity in sharp contrast to general relativity.

6 pages with two columns; expanded version to appear in Phys. Rev. D

References in corpus (5)

• Emergent Gravity from Noncommutative Spacetime
• Emergent Spacetime and The Origin of Gravity
• Towards A Background Independent Quantum Gravity
• Test of Emergent Gravity
• Notes on Emergent Gravity

Cited by in corpus (8)

• Test of Emergent Gravity
• Quantization of Emergent Gravity
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• Ambiguities in the Seiberg-Witten Map and Emergent Gravity
• Novel Ambiguities in the Seiberg-Witten Map and the Emergent Gravity
• Schwarzschild Instanton in Emergent Gravity
• Towards a T-dual Emergent Gravity