Use this URL to cite or link to this record in EThOS:  http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.348016 
Title:  Quantum models of spacetime based on recoupling theory  
Author:  Moussouris, John Peter  
Awarding Body:  University of Oxford  
Current Institution:  University of Oxford  
Date of Award:  1984  
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Abstract:  
Models of geometry that are intrinsically quantummechanical in nature arise from the recoupling theory of spacetime symmetry groups. Roger Penrose constructed such a model from SU(2) recoupling in his theory of spin networks; he showed that spin measurements in a classical limit are necessarily consistent with a threedimensional Euclidian vector space. T. Regge and G. Ponzano expressed the semiclassical limit of this spin model in a form resembling a path integral of the EinsteinHilbert action in three Euclidian dimensions. This thesis gives new proofs of the Penrose spin geometry theorem and of the ReggePonzano decomposition theorem. We then consider how to generalize these two approaches to other groups that give rise to new models of quantum geometries. In particular, we show how to construct quantum models of fourdimensional relativistic spacetime from the recoupling theory of the Poincare group.


Supervisor:  Penrose, Roger  Sponsor:  Not available  
Qualification Name:  Thesis (Ph.D.)  Qualification Level:  Doctoral  
EThOS ID:  uk.bl.ethos.348016  DOI:  Not available  
Keywords:  Combinatorics ; Geometry ; Group theory and generalizations (mathematics) ; Mechanics of particles and systems (mathematics) ; Quantum theory (mathematics) ; Theoretical physics ; quantum ; relativity ; groups ; recoupling ; spin networks ; penrose ; racah ; regge ; ponzano ; poincare group Physics  
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