Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bases of Wormholes in Quantum Cosmology   We show that if the space of physical states spanned by the wormhole wave
functions can be equipped with a Hilbert structure, such a Hilbert space must
coincide with that of the Lorentzian gravitational system under consideration.
The physical inner product can then be determined by imposing a set of
Lorentzian reality conditions. The Hilbert space of the gravitational model
admits in this case a basis of wormhole solutions, and every proper quantum
state can be interpreted as a superposition of wormholes. We also argue that
the wave functions that form the basis of wormholes must be eigenfunctions of a
complete set of compatible observables. The associated eigenvalues provide a
set of well-defined wormhole parameters, in the sense that they can be employed
to designate the different elements of the basis of wormholes. We analyse in
detail the case of a Friedmann-Robertson-Walker spacetime minimally coupled to
a massless scalar field. For this minisuperspace, we prove the validity of all
the above statements and discuss various admissible choices of bases of
wormhole wave functions.

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The categories of this paper are: physics
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The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
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The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
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The categories of this paper are: econ
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The categories of this paper are: solv-int
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The categories of this paper are: stat
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The categories of this paper are: hep-ph