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Cosmological perturbations and short distance physics from Noncommutative Geometry
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We investigate the possible effects on the evolution of perturbations in the inflationary epoch due to short distance physics. We introduce a suitable non local action for the inflaton field, suggested by Noncommutative Geometry, and obtained by adopting a generalized star product on a Friedmann-Robertson-Walker background. In particular, we study how the presence of a length scale where spacetime becomes noncommutative affects the gaussianity and isotropy properties of fluctuations, and the corresponding effects on the Cosmic Microwave Background spectrum.
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Cited by 1 Pith paper
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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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