Generalized uncertainty principle from long-range kernel effects: The case of the Hawking black hole temperature
Rami Ahmad El‐Nabulsi, Waranont Anukool
Abstract
We prove the existence of an analogy between spatial long-range interactions, which are of the convolution-type introduced in non-relativistic quantum mechanics, and the generalized uncertainty principle predicted from quantum gravity theories. As an illustration, black hole temperature effects are discussed. It is observed that for specific choices of the moment’s kernels, cold black holes may emerge in the theory.
Topics & Concepts
PhysicsBlack hole (networking)Correspondence principle (sociology)HawkingQuantum gravityBlack hole thermodynamicsRange (aeronautics)Theoretical physicsQuantumQuantum mechanicsClassical mechanicsEntropy (arrow of time)Market economyComputer scienceMaterials scienceLink-state routing protocolRouting (electronic design automation)Routing protocolComputer networkEconomicsComposite materialNoncommutative and Quantum Gravity TheoriesBlack Holes and Theoretical PhysicsCosmology and Gravitation Theories