Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topology Change of Spacetime and Resolution of Spacetime Singularity in
  Emergent Gravity   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.

1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga