Theories with maximal acceleration

Abstract

Maximal accelerations are related to the existence of a minimal time for a given physical system. Such a minimal time can be either an intrinsic time scale of the system or connected to a quantum gravity induced ultraviolet cut off. In this paper we pedagogically introduce the four major formulations for kinematics accounting for a maximal acceleration. Some phenomenological repercussion are offered as hints for future investigations.

arXiv comment20 pages, invited review for International Journal of Modern Physics A (World Scientific); v2 with an updated reference list; v3 updated version accepted for publication

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Cited by in corpus (10)

• Radiation reaction friction: Resistive material medium
• Some consequences of theories with maximal acceleration in laser-plasma acceleration
• Maximal acceleration geometries and spacetime curvature bounds
• Universal constants and natural systems of units in a spacetime of arbitrary dimension
• Maximal acceleration in a Lorentz invariant non-commutative space-time
• Maximal acceleration and black hole evaporation
• On the notion of kinetic energy in a spacetime of maximal proper acceleration
• On the Unruh effect for hyperbolic observers in spacetimes of maximal proper acceleration
• Uncertainty Principles and Maximum Entropic Force
• Spacetimes of maximal proper acceleration and muon mean lifetime