On the Emergence of Both Relativistic Structure and a Global Foliation from Discrete Space-Time

This video is part of the PROTEUS project that has received funding from the European Research Council (ERC) under the Horizon 2020 research and innovation programme (Grant agreement No. 758145)

The empirical success of Special and General Relativity, and of theories that incorporate Relativistic symmetries, argues that the Relativistic account of space-time structure must approximate the truth. But on the other hand, the confirmed violations of Bell’s Inequality for experiments done at space like separation equally appears to argue for some global foliation of space-time that does not appear in the Relativistic theory. I will show how, from a fundamentally discrete and atomic sort of space-time geometry, both a preferred foliation and an approximately Minkowskian metrical structure naturally emerge. Further, in such a discrete structure singlularities of the sort that infect Quantum Field Theory cannot arise. This provides grounds for taking such a fundamentally discrete geometry as a serious possibility.