Uncertainty relations and precession of perihelion

被引:5
作者
Scardigli, Fabio [1 ,2 ]
Casadio, Roberto [3 ,4 ]
机构
[1] Amer Univ Middle East, Coll Engn, Dept Math, POB 220 Dasman, Eqaila 15453, Kuwait
[2] Politecn Milan, Dipartimento Matemat, Piazza Leonardo da Vinci 32, I-20133 Milan, Italy
[3] Alma Mater Univ Bologna, Dipartimento Fis & Astron, Via Irnerio 46, I-40126 Bologna, Italy
[4] Ist Nazl Fis Nucl, Sez Bologna, Viale Bert Pichat 6-2, I-40127 Bologna, Italy
来源
EMQM15: EMERGENT QUANTUM MECHANICS 2015 | 2016年 / 701卷
关键词
PLANCK LENGTH; PRINCIPLE; GRAVITY; TESTS;
D O I
10.1088/1742-6596/701/1/012016
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
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.
引用
收藏
页数:8
相关论文
共 42 条
[1]   The generalized uncertainty principle and black hole remnants [J].
Adler, RJ ;
Chen, PS ;
Santiago, DI .
GENERAL RELATIVITY AND GRAVITATION, 2001, 33 (12) :2101-2108
[2]   On gravity and the uncertainty principle [J].
Adler, RJ ;
Santiago, DI .
MODERN PHYSICS LETTERS A, 1999, 14 (20) :1371-1381
[3]   Minimal length in quantum gravity and gravitational measurements [J].
Ali, Ahmed Farag ;
Khalil, Mohammed M. ;
Vagenas, Elias C. .
EPL, 2015, 112 (02)
[4]   SUPERSTRING COLLISIONS AT PLANCKIAN ENERGIES [J].
AMATI, D ;
CIAFALONI, M ;
VENEZIANO, G .
PHYSICS LETTERS B, 1987, 197 (1-2) :81-88
[5]  
[Anonymous], ARXIV11123359
[6]   Probing deformed commutators with macroscopic harmonic oscillators [J].
Bawaj, Mateusz ;
Biancofiore, Ciro ;
Bonaldi, Michele ;
Bonfigli, Federica ;
Borrielli, Antonio ;
Di Giuseppe, Giovanni ;
Marconi, Lorenzo ;
Marino, Francesco ;
Natali, Riccardo ;
Pontin, Antonio ;
Prodi, Giovanni A. ;
Serra, Enrico ;
Vitali, David ;
Marin, Francesco .
NATURE COMMUNICATIONS, 2015, 6
[7]   Minimal length uncertainty relation and the hydrogen atom [J].
Brau, F .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1999, 32 (44) :7691-7696
[8]  
Brukner C., 2012, NATURE PHYS, V8, P393
[9]   Will we observe black holes at the LHC? [J].
Cavaglià, M ;
Das, S ;
Maartens, R .
CLASSICAL AND QUANTUM GRAVITY, 2003, 20 (15) :L205-L212
[10]  
Chang L N, 2002, PHYS REV D, V66