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Emergence of maximal acceleration from non-commutativity of spacetime

E. Harikumar

School of Physics, University of Hyderabad, Central University P. O., Hyderabad 500046, Telangana, India

E-mail Address: harisp@uohyd.ernet.in

Corresponding author.

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Leela Ganesh Chandra Lakkaraju

Harish-Chandra Research Institute, Chhatnag Road, Jhunsi, Allahabad 211019, Uttar Pradesh, India

E-mail Address: ganeshchandra@hri.res.in

Leela Ganesh Chandra Lakkaraju carried out this work while at School of Physics, University of Hyderabad.

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, and

Vishnu Rajagopal

School of Physics, University of Hyderabad, Central University P. O., Hyderabad 500046, Telangana, India

E-mail Address: vishnurajagopal.anayath@gmail.com

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https://doi.org/10.1142/S0217732321500693Cited by:2 (Source: Crossref)

Abstract

In this paper, we show that the causally connected four-dimensional line element of the $κ$ -deformed Minkowski spacetime induces an upper cut-off on the proper acceleration and derive this maximal acceleration, valid up to first order in the deformation parameter. We find a contribution to maximal acceleration which is independent of $ℏ$ and thus signals effect of the non-commutativity alone. We also construct the $κ$ -deformed geodesic equation and obtain its $κ$ -deformed Newtonian limit, valid up to first order in deformation parameter. Using this, we constrain non-commutative parameters present in the expression for maximal acceleration. We analyze different limits of the maximal acceleration and also discuss its implication to maximal temperature. We also obtain a bound on the deformation parameter.

Keywords:

PACS: 11.10.Nx, 04.60.-m, 02.40.Gh, 04.50.Kd

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