Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Wheeler - DeWitt Quantum Geometrodynamics: its fundamental problems
  and tendencies of their resolution   The paper is devoted to fundamental problems of the Wheeler - DeWitt quantum
geometrodynamics, which was the first attempt to apply quantum principles to
the Universe as a whole. Our purpose is to find out the origin of these
problems and follow up their consequences. We start from Dirac generalized
Hamiltonian dynamics as a cornerstone on which the Wheeler - DeWitt theory is
based. We remind the main statements of the famous DeWitt's paper of 1967 and
discuss the flaws of the theory: the well-known problem of time, the problem of
Hilbert space and others. In the concluding part of the paper we consider new
tendencies and approaches to quantum geometrodynamics appeared in the last
decade.

37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex