Speaker
Michal Eckstein
(Jagiellonian University)
Description
Drawing from the mathematical richness of noncommutative geometry, I will introduce the concept of an "almost commutative space-time" and show that it admits a sensible notion of causality. The latter does not affect classical causal relations in the space-time component, but it does induce highly non-trivial constraints on the "motion" in the "inner space". I will illustrate the general concept on a simple model and relate the outcomes to a relativistic quantum effect - the Zitterbewegung. I will conclude with a brief outlook into the nature of the causal relation in truly noncommutative spacetimes expected to emerge at the frontier of quantum theory and general relativity.
Primary author
Michal Eckstein
(Jagiellonian University)
