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arXiv · 2306.04224

$\kappa$-deformed power spectrum and modified Unruh temperature

Vishnu Rajagopal
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Abstract

In this paper, we study the power spectrum of the uniformly accelerating scalar field, obeying the $\kappa$-deformed Klein-Gordon equation. From this we obtain the $\kappa$-deformed corrections to the Unruh temperature, valid up to first order in the $\kappa$-deformation parameter $a$. We also show that in the small acceleration limit, this expression for the Unruh temperature in $\kappa$-deformed space-time is in exact agreement with the one derived from the $\kappa$-deformed uncertainty relation. Finally, we obtain an upper bound on the deformation parameter $a$.

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Vishnu Rajagopal. 2023-06-07. $\kappa$-deformed power spectrum and modified Unruh temperature. https://doi.org/10.1007/s10714-024-03199-8

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