Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantisation of Paths in Space-Time and Non-Perturbative Quantum Gravity   In previous work we discussed the quantization of paths in spacetime.
Building on these ideas we have developed a mathematically coherent theory
addressing a number of open questions concerning Loop Quantum Gravity. Our
approach develops a discrete spacetime and shows that macroscopic spacetime is
a renormalization limiting form. Weaving together a number of our previous
results we then prove that quantum states invariant under either an external
group of local diffeomorphisms of spacetime or by contrast quantum states
invariant under the internal action of a compact Lie group are common in a
well-defined sense. These form the building blocks of invariant fields and
Lagrangians. A form of supersymmetry and noncommutative spacetime naturally
emerges, which predicts a massless graviton and its companion gravitino.

16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg