Quantization of Black Holes
arXiv:1003.2510 · doi:10.1142/S0217732311036577
Abstract
We show that black holes can be quantized in an intuitive and elegant way with results in agreement with conventional knowledge of black holes by using Bohr's idea of quantizing the motion of an electron inside the atom in quantum mechanics. We find that properties of black holes can be also derived from an Ansatz of quantized entropy $ΔS=4πk {ΔR / \lambdabar}$, which was suggested in a previous work to unify the black hole entropy formula and Verlinde's conjecture to explain gravity as an entropic force. Such an Ansatz also explains gravity as an entropic force from quantum effect. This suggests a way to unify gravity with quantum theory. Several interesting and surprising results of black holes are given from which we predict the existence of primordial black holes ranging from Planck scale both in size and energy to big ones in size but with low energy behaviors.
Latex 7 pages, no figure.
References in corpus (12)
- Thermodynamical Aspects of Gravity: New insights
- Equipartition of energy in the horizon degrees of freedom and the emergence of gravity
- Entropic Accelerating Universe
- Friedmann Equations from Entropic Force
- Entropic cosmology: a unified model of inflation and late-time acceleration
- Quantum UV/IR Relations and Holographic Dark Energy from Entropic Force
- Notes on Entropy Force in General Spherically Symmetric Spacetimes
- Thermodynamics of Black Holes from Equipartition of Energy and Holography
- Equipartition of energy and the first law of thermodynamics at the apparent horizon
- A Note on Temperature and Energy of 4-dimensional Black Holes from Entropic Force
- A note on Friedmann equation of FRW universe in deformed Horava-Lifshitz gravity from entropic force
- A No-go Theorem Prohibiting Inflation in the Entropic Force Scenario