On the Unruh effect for hyperbolic observers in spacetimes of maximal proper acceleration
arXiv:2410.18155 · doi:10.1098/rspa.2024.0931
Abstract
In this work, the notion of spacetime of maximal proper acceleration is motivated as a weak form to implement general covariance and a generalized form of Einstein's equivalence principle from a physical point of view and the fundamental geometric and kinematic properties of such spaces are discussed. Thereafter the Unruh temperature formula is generalized to the case of hyperbolic observers in spacetimes of maximal proper acceleration. Such a generalization implies the existence of a maximal value for the Unruh temperature. We discuss this result for an electrodynamic model of point charged particles in a spacetime of maximal proper acceleration. It is shown that according to the model, the maximal Unruh temperature must be of order K for current high acceleration electron laser-plasma acceleration systems, where is the population of the typical bunch.
arXiv comment23 pages, accepted in Proceedings of the Royal Society A
References in corpus (28)
- Thermodynamics of Spacetime: The Einstein Equation of State
- On the Origin of Gravity and the Laws of Newton
- Causal structure and electrodynamics on Finsler spacetimes
- Demonstration of a compact plasma accelerator powered by laser-accelerated electron beams
- Simplified derivation of the Hawking-Unruh temperature for an accelerated observer in vacuum
- On the definition and examples of cones and Finsler spacetimes
- Evidence for Maximal Acceleration and Singularity Resolution in Covariant Loop Quantum Gravity
- Born-Infeld Kinematics
- A Finslerian version of 't Hooft Deterministic Quantum Models
- On Fermat's principle for causal curves in time oriented Finsler spacetimes
- On singular generalized Berwald spacetimes and the equivalence principle
- On a covariant version of Caianiello's Model
- Accelerated electron thermometer: observation of 1D Planck radiation
- On the equivalence principle and gravitational and inertial mass relation of classical charged particles
- Theories with maximal acceleration
- A second order differential equation for a point charged particle
- Some consequences of theories with maximal acceleration in laser-plasma acceleration
- Maximal acceleration geometries and spacetime curvature bounds
- An effective theory of metrics with maximal acceleration
- Test Particles with Acceleration-Dependent Lagrangian
- Maximal acceleration in non-commutative space-time and its implications
- Emergence of maximal acceleration from non-commutativity of space-time
- Maximal acceleration in a Lorentz invariant non-commutative space-time
- On the emergent origin of the inertial mass
- Maximal acceleration and black hole evaporation
- Maximal acceleration in Rainbow gravity
- On the effect of the maximal proper acceleration in the inertia
- On the emergence of gravity in a framework of emergent quantum mechanics