Emergence of maximal acceleration from non-commutativity of space-time
| Autor: | Leela Ganesh Chandra Lakkaraju, Vishnu Rajagopal, E. Harikumar |
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| Rok vydání: | 2020 |
| Předmět: |
Physics
High Energy Physics - Theory Nuclear and High Energy Physics Geodesic Spacetime Line element General Physics and Astronomy FOS: Physical sciences Astronomy and Astrophysics Noncommutative geometry High Energy Physics - Theory (hep-th) Minkowski space Quantum gravity Proper acceleration Commutative property Mathematical physics |
| DOI: | 10.48550/arxiv.2004.11523 |
| Popis: | In this paper, we show that the causally connected $4$-dimensional line element of the $\kappa$-deformed Minkowski space-time 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 $\hbar$ and thus signals effect of the non-commutativity alone. We also construct the $\kappa$-deformed geodesic equation and obtain its $\kappa$-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 analyse different limits of the maximal acceleration and also discuss its implication to maximal temperature. We also obtain a bound on the deformation parameter. Comment: 14 pages, no figure, Re-wrote Section-4, adding new results. More discussions, two appendices and more references added |
| Databáze: | OpenAIRE |
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