Cosmological Power Spectrum in Non-commutative Space-time
Rahul Kothari, Pranati K. Rath, Pankaj Jain

TL;DR
This paper introduces a generalized star product in non-commutative space-time that alters the cosmological power spectrum without changing the standard Lagrangian, potentially explaining observed anisotropies in the cosmic microwave background.
Contribution
It proposes a new generalized star product that affects the cosmological power spectrum while maintaining the standard Lagrangian in non-commutative space-time.
Findings
The generalized star product produces physically consistent results.
It can fit observed hemispherical anisotropy in the cosmic microwave background.
The approach offers a novel explanation for CMB anisotropies.
Abstract
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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