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Cosmological Power Spectrum in Non-commutative Space-time

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arxiv 1503.03859 v2 pith:YGGIF6RH submitted 2015-02-28 hep-th astro-ph.COgr-qc

classification hep-thastro-ph.COgr-qc
keywords productspace-timecosmologicalgeneralizednon-commutativepowerproducesspectrum
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We propose a generalized star product which deviates from the standard product when the fields at evaluated at different space-time points. This produces no changes in the standard Lagrangian density in non-commutative space-time but produces a change in the cosmological power spectrum. We show that the generalized star product leads to physically consistent results and can fit the observed data on hemispherical anisotropy in the cosmic microwave background radiation.

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  1. Modified Mukhanov-Sasaki equation and primordial perturbations in $\kappa$-deformed non-commutative space-time

    gr-qc 2026-07 reject novelty 5.0 of 10

    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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