The Lorentz group and its finite field analogues: local isomorphism and approximation - Mathematical PhysicsReport as inadecuate




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Abstract: Finite Lorentz groups acting on 4-dimensional vector spaces coordinatized byfinite fields with a prime number of elements are represented as homomorphicimages of countable, rational subgroups of the Lorentz group acting on real4-dimensional space-time. Bounded subsets of the real Lorentz group areretractable with arbitrary accuracy to finite subsets of such rationalsubgroups. These finite retracts correspond, via local isomorphisms, towell-behaved subsets of Lorentz groups over finite fields. This establishes arelationship of approximation between the real Lorentz group and Lorentz groupsover very large finite fields.



Author: Stephan Foldes

Source: https://arxiv.org/



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