Maximal acceleration in non-commutative space-time and its implications

Abstract

In this paper, we derive the non-commutative corrections to the maximal acceleration of a massive particle. Using the eight-dimensional kappa-deformed phase-space metric, we obtain the kappa-deformed maximal acceleration, valid up to first order in the deformation parameter. We then derive the kappa-deformed geodesic equation and obtain its Newtonian limit and from this obtain a bound on the deformation parameter. After re-expressing the kappa-deformed Schwarzschild metric in terms of maximal acceleration, we analyse the motion of a particle in this space-time, and also study the modifications to Hawking radiation. We also derive the kappa-deformed corrections to maximal acceleration using kappa-deformed generalised uncertainty principle.

16 pages, no figure

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Cited by in corpus (5)

• Maximal acceleration in a Lorentz invariant non-commutative space-time
• Emergence of maximal acceleration from non-commutativity of space-time
• Entropic force and bouncing behaviour in $\kappa$-Minkowski space-time
• On the Unruh effect for hyperbolic observers in spacetimes of maximal proper acceleration
• Spacetimes of maximal proper acceleration and muon mean lifetime