2012/12/31 by Sunggeun Lee, Raju Roychowdhury, Hyun Seok Yang · 15 citations
Mathematics · Physics and Astronomy · #Background independence #Black Holes and Theoretical Physics #Causal sets #Classical mechanics #Cosmology and Gravitation Theories #General relativity #Linearized gravity #Mathematics #Mathematics of general relativity #Maxwell's equations in curved spacetime #Noncommutative and Quantum Gravity Theories #Numerical relativity #Physics #Quantum field theory in curved spacetime #Quantum gravity #Quantum mechanics #Spacetime #Spacetime symmetries #Spacetime topology #Spherically symmetric spacetime #Stationary spacetime #Topology (electrical circuits) #gr-qc #hep-th #math-ph #math.MP
paper · pdf · doi:10.1103/physrevd.87.126002
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 87(12) (American Physical Society) · 6 pages with two columns; expanded version to appear in Phys. Rev. D
arxiv created 2013/04/28 · openalex publication_date 2013/06/05 · arxiv updated 2013/06/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 from any spacetime singularity, in sharp contrast to general relativity.