Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum manifolds with classical limit   We propose a mathematical model of quantum spacetime as an
infinite-dimensional manifold locally homeomorphic to an appropriate Schwartz
space. This extends and unifies both the standard function space construction
of quantum mechanics and the manifold structure of spacetime. In this picture
we demonstrate that classical spacetime emerges as a finite-dimensional
manifold through the topological identification of all quantum points with
identical position expectation value. We speculate on the possible relevance of
this geometry to quantum field theory and gravity.

3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
9
The categories of this paper are: nlin