Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: General Relativity without paradigm of space-time covariance, and
  resolution of the problem of time   The framework of a theory of gravity from the quantum to the classical regime
is presented. The paradigm shift from full spacetime covariance to spatial
diffeomorphism invariance, together with clean decomposition of the canonical
structure, yield transparent physical dynamics and a resolution of the problem
of time. The deep divide between quantum mechanics and conventional canonical
formulations of quantum gravity is overcome with a Schr\"{o}dinger equation for
quantum geometrodynamics that describes evolution in intrinsic time. Unitary
time development with gauge-invariant temporal ordering is also viable. All
Kuchar observables become physical; and classical spacetime, with direct
correlation between its proper times and intrinsic time intervals, emerges from
constructive interference. The framework not only yields a physical Hamiltonian
for Einstein's theory, but also prompts natural extensions and improvements
towards a well behaved quantum theory of gravity. It is a consistent canonical
scheme to discuss Horava-Lifshitz theories with intrinsic time evolution, and
of the many possible alternatives that respect 3-covariance (rather than the
more restrictive 4-covariance of Einstein's theory), Horava's ``detailed
balance" form of the Hamiltonian constraint is essentially pinned down by this
framework.

33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
2
The categories of this paper are: math
6
The categories of this paper are: astro-ph