2004/01/06 by David Deutsch, Deutsch, David
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph
paper · pdf · doi:10.48550/arxiv.quant-ph/0401024
arxiv created 2004/01/06 · arxiv updated 2009/12/01
The canonical commutation relations of quantum field theory require all pairs of observables located in spacelike-separated regions to commute. In the theory as it is currently constituted, this implies that the information-carrying capacity of a finite volume of space is infinite. Yet Bekenstein's bound gives us strong reason to believe that it is finite. A class of quantum field theories is presented in which observables localised in spacelike-separated regions do not necessarily commute, but which nevertheless has no physical pathologies.