Uncertainty relations and precession of perihelion

Emergent Quantum Mechanics 2015

Scardigli, Fabio^1,2 ; Casadio, Roberto^3,4

Department of Mathematics, College of Engineering, American University of the Middle East, P.O.Box 220, Dasman

15453, Kuwait^1

Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo da Vinci 32, Milano

20133, Italy^2

Dipartimento di Fisica e Astronomia, Alma Mater Università di Bologna, via Irnerio 46, Bologna

40126, Italy^3

I.N.F.N., Sezione di Bologna, viale Bert Pichat 6/2, Bologna

40127, Italy^4

关键词: Astronomical measurements;    Binary pulsars;    Deformation parameter;    Perihelion-precession;    Precession of perihelion;    Schwarzschild;    Uncertainty principles;    Uncertainty relation;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/701/1/012016/pdf
DOI  :  10.1088/1742-6596/701/1/012016

来源: IOP

【 摘 要 】

We compute the corrections to the Schwarzschild metric necessary to reproduce the Hawking temperature derived from a Generalized Uncertainty Principle (GUP), so that the GUP deformation parameter is directly linked to the deformation of the metric. Using this modified Schwarzschild metric, we compute corrections to the standard General Relativistic predictions for the perihelion precession for planets in the solar system, and for binary pulsars. This analysis allows us to set bounds for the GUP deformation parameter from well-known astronomical measurements.