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.
Author
Michal Eckstein
(Jagiellonian University)
