
#19
Mar1212, 01:35 AM

P: 1,583

I had assumed that it was rare for a group whose InonuWigner contraction is the Galilei group to have boosts and translation not commuting, and that the Poincare group (and those that contain it) are one of the few (or perhaps the only ones) that satisfy this condition. Am I wrong in that impression? If having them not commute is a fairly common property of groups which reduce to the Galilei group, then Kaiser's result wouldn't be that significant to me.




#20
Mar1212, 10:25 PM

Sci Advisor
P: 1,722

So there are infinitely many. Another reason why I find Kaiser's result to be thought provoking is that it banishes the old puzzle about why there's no straightforward extension of the positionmomentum CCRs to an analogous timeenergy relation. 



#21
Mar1212, 10:53 PM

P: 1,583





#22
Mar1312, 04:07 AM

Sci Advisor
P: 1,722

But such openended questions are too speculative for my tastes, and are not something that interests me any further. 



#23
Mar1312, 05:54 AM

P: 140





#24
Mar1312, 09:46 AM

P: 640





#25
Mar2112, 12:21 AM

P: 2

My two cents.
maybe not general relativity, but at least some theory of gravitation, (presumably ,but not necesarily, one that have in its postulate the princile of equivalence) is necesary for the consistance of quatum mechanics. maybe I am wrong, but the Einstiein clock in the box paradox (and the bohr solution) seems to imply that 


Register to reply 
Related Discussions  
Relativity vs Quantum Mechanics  Special & General Relativity  14  
Quantum Mechanics and Relativity.  Quantum Physics  2  
Quantum mechanics and relativity  Beyond the Standard Model  20  
Conflict between Quantum Mechanics and Relativity  General Physics  17 