A Fundamental Problem in Quantizing General Relativity

被引:0
作者
Lorenzo Maccone
机构
[1] University of Pavia,Dip. Fisica and INFN Sez. Pavia
来源
Foundations of Physics | 2019年 / 49卷
关键词
Foundations of quantum mechanics; Quantum information; Quantum mechanics; General relativity; Quantum gravity;
D O I
暂无
中图分类号
学科分类号
摘要
We point out a fundamental problem that hinders the quantization of general relativity: quantum mechanics is formulated in terms of systems, typically limited in space but infinitely extended in time, while general relativity is formulated in terms of events, limited both in space and in time. Many of the problems faced while connecting the two theories stem from the difficulty in shoe-horning one formulation into the other. A solution is not presented, but a list of desiderata for a quantum theory based on events is laid out.
引用
收藏
页码:1394 / 1403
页数:9
相关论文
共 111 条
[31]  
Markopoulou F(2003)Measurement of the phase of few-cycle laser pulses Phys. Rev. Lett. 91 253004-undefined
[32]  
Bisio A(1945)The uncertainty relation between energy and time in nonrelativistic quantum mechanics J. Phys. USSR 9 249-undefined
[33]  
Chiribella G(1998)The maximum speed of dynamical evolution Physica D 120 188-undefined
[34]  
D’Ariano GM(2003)Quantum limits to dynamical evolution Phys. Rev. A 67 052109-undefined
[35]  
Perinotti P(1929)The uncertainty principle Phys. Rev. 34 163-undefined
[36]  
Chiribella G(1974)On the time operator in quantum mechanics and the heisenberg uncertainty relation for energy and time Rep. Math. Phys. 6 361-undefined
[37]  
D’Ariano GM(1978)Un nouveau principe d’évolution réversible et une géneralisation de l’equation de Schroedinger C.R. Acad. Seances (Paris) A 286 713-undefined
[38]  
Perinotti P(2015)Quantum correlations which imply causation Sci. Rep. 5 18281-undefined
[39]  
Valiron B(2016)Operational quantum theory without predefined time New J. Phys. 18 073037-undefined
[40]  
Oreshkov O(2011)Closed timelike curves via postselection: theory and experimental test of consistency Phys. Rev. Lett. 106 040403-undefined