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The Spacetime constructed on the Hilbert Space
Li Anyong * #
School of Chemistry and Chemical Engineering, Southwest University, ChongQing 400715
*Correspondence author
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Funding: none
Opened online:30 November 2011
Accepted by: none
Citation: Li Anyong.The Spacetime constructed on the Hilbert Space[OL]. [30 November 2011] http://en.paper.edu.cn/en_releasepaper/content/4451589
 
 
We assume that quantum mechanics is a general theory to describe any physical system, so the basic mathematical structure for physics is the Hilbert space not the spacetime. A quantum theory of the spacetime was proposed that the physical spacetime is not a prioir objective existence exterior to the matter and not a prior background as the stage of the matter, but an existence form and nature of the matter, an algebraic structure on the Hilbert space. The spacetime of a free particle, having been constructed based on the Hilbert space of the particle, is a four dimensional Lie groups composed of all the unitary transformations produced by the energy and momentum operators of the particle and has a metric with Lorentzian signature.
Keywords:Hilbert space; spacetime; quantum mechanics
 
 
 

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