Some Heuristic Semiclassical Derivations of the Planck Length, the Hawking Effect and the Unruh Effect
arXiv:gr-qc/0206025 · doi:10.1007/BF02726152
Abstract
The formulae for Planck length, Hawking temperature and Unruh-Davies temperature are derived by using only laws of classical physics together with the Heisenberg principle. Besides, it is shown how the Hawking relation can be deduced from the Unruh relation by means of the principle of equivalence; the deep link between Hawking effect and Unruh effect is in this way clarified.
LaTex file, 6 pages, no figures
Cited by in corpus (45)
- Gravitational tests of the Generalized Uncertainty Principle
- GUP parameter from quantum corrections to the Newtonian potential
- Uncertainty Relation on World Crystal and its Applications to Micro Black Holes
- Generalized Uncertainty Principle and Corpuscular Gravity
- Modified Unruh effect from Generalized Uncertainty Principle
- Generalized Uncertainty Principle, Classical Mechanics, and General Relativity
- Lorentz violation and generalized uncertainty principle
- Horizon wave-function for single localized particles: GUP and quantum black hole decay
- Black Hole Remnants in the Early Universe
- 30 years in: Quo vadis generalized uncertainty principle?
- GUP parameter from Maximal Acceleration
- GUP parameter and black hole temperature
- Generalized Uncertainty Principle in three-dimensional gravity and the BTZ black hole
- The deformation parameter of the generalized uncertainty principle
- Phenomenology of GUP stars
- Bekenstein bound and uncertainty relations
- The extended uncertainty principle inspires the Rényi entropy
- Generalized uncertainty principle and Asymptotic Safe gravity
- Nonextensive Black Hole Entropy and Quantum Gravity Effects at the Last Stages of Evaporation
- Scale--dependent Hayward black hole and the generalized uncertainty principle
- Glimpses on the micro black hole Planck phase
- Investigation of Unruh temperature of Black holes by using of EGUP formalism
- Horizon Quantum Mechanics: a hitchhiker's guide to quantum black holes
- Effect of Snyder-de Sitter model on the Black hole thermodynamics in the context of rainbow gravity
- Minimum length (scale) in Quantum Field Theory, Generalized Uncertainty Principle and the non-renormalisability of gravity
- Black hole thermodynamics and generalized uncertainty principle with higher order terms in momentum uncertainty
- Modified Newton's Law of Gravitation Due to Minimal Length in Quantum Gravity
- The Effects of Minimal Length, Maximal Momentum and Minimal Momentum in Entropic Force
- Heuristic derivation of the Casimir effect from Generalized Uncertainty Principle
- Maximally localized states and quantum corrections of black hole thermodynamics in the framework of a new generalized uncertainty principle
- Tsallis uncertainty
- Entanglement entropy in quantum black holes
- On the gravitational energy of the Hawking wormhole
- Short distance signatures in Cosmology: Why not in Black Holes?
- Hawking temperature for various kinds of black holes from Heisenberg uncertainty principle
- Generalized entropic gravity from modified Unruh temperature
- Planck-Scale Corrections to Friedmann Equation
- A duality-invariant Einstein-Planck relation and its consequences on micro black holes
- -deformed power spectrum and modified Unruh temperature
- Uncertainty principle and gravity
- Energy-time uncertainty relation from entropy measures
- GUP-corrected CDM cosmology
- Thermodynamics of spacetime from minimal area
- Spontaneous Lorentz symmetry violation from infrared gravity
- Decay of uniformly rotating particles