Microscopic black hole stabilization via the uncertainty principle

3rd International Conference on Mathematical Modeling in Physical Sciences

物理学;数学

Vayenas, Constantinos G.^1,2 ; Grigoriou, Dimitrios^1

School of Engineering, University of Patras, Caratheodory 1 St., Patras

GR 26504, Greece^1

Division of Natural Sciences, Academy of Athens, Panepistimiou 28, Ave., Athens

GR-10679, Greece^2

关键词: Compton wavelength;    Equivalence principles;    General Relativity;    Gravitational law;    Heisenberg uncertainty principle;    Microscopic black holes;    Special relativity;    Uncertainty principles;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/574/1/012059/pdf
DOI  :  10.1088/1742-6596/574/1/012059

来源: IOP

【 摘 要 】

Due to the Heisenberg uncertainty principle, gravitational confinement of two- or three-rotating particle systems can lead to microscopic Planckian or sub-Planckian black holes with a size of order their Compton wavelength. Some properties of such states are discussed in terms of the Schwarzschild geodesics of general relativity and compared with properties computed via the combination of special relativity, equivalence principle, Newton's gravitational law and Compton wavelength. It is shown that the generalized uncertainty principle (GUP) provides a satisfactory fit of the Schwarzschild radius and Compton wavelength of such microscopic, particle-like, black holes.