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Accelerating cosmologies in an integrable model with noncommutative minisuperspace variables
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We study classical and quantum noncommutative cosmology with a Liouville-type scalar degree of freedom. The noncommutativity is imposed on the minisuperspace variables through a deformation of the Poisson algebra. In this paper, we investigate the effects of noncommutativity of minisuperspace variables on the accelerating behavior of the cosmic scale factor. The probability distribution in noncommutative quantum cosmology is also studied and we propose a novel candidate for interpretation of the probability distribution in terms of noncommutative arguments.
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Cited by 2 Pith papers
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Modified Mukhanov-Sasaki equation and primordial perturbations in $\kappa$-deformed non-commutative space-time
A κ-deformed star product modifies the inflationary perturbation equation, yielding a (ln k)^2 correction to the power spectrum and a claimed ACT DR6 bound on the deformation length.
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Equivalent Hamiltonian approach to quantum cosmology of integrable models
For two integrable minisuperspace cosmologies, the paper constructs equivalent Hamiltonians via Faddeev-Jackiw reduction and uses them to study quantum wave packets and Wigner functions.
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