Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conceptual Issues for Noncommutative Gravity on Algebras and Finite Sets   We discuss some of the issues to be addressed in arriving at a definitive
noncommutative Riemannian geometry that generalises conventional geometry both
to the quantum domain and to the discrete domain. This also provides an
introduction to our 1997 formulation based on quantum group frame bundles. We
outline now the local formulae with general differential calculus both on the
base `quantum manifold' and on the structure group Gauge transforms with
nonuniversal calculi, Dirac operator, Levi-Civita condition, Ricci tensor and
other topics are also covered. As an application we outline an intrinsic or
relative theory of quantum measurement and propose it as a possible framework
to explore the link between gravity in quantum systems and entropy.

22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol