Seminario del 2024

Luglio
09
2024
Subhobrata Chatterjee
Probabilities and Supergeometry: Measurement theory for dynamical discrete systems
algebra e geometria
fisica matematica
Abstract: Discrete probabilistic systems, like bits on a computer or faces of a coin, abound in nature. We propose a geometric model describing dynamics and measurement theory for such systems. Our approach is covariant with respect to choices of clocks and laboratories. The configuration space is a super phasespacetime modelled by an odd dimensional symplectic supermanifold, observables are superfunctions and states are suitable (star) squares of superfunctions. The data of an odd dimensional symplectic supermanifold canonically incorporates dynamics. We also obtain dynamical probabilities using convex polyhedral cones and find that they obey Markov-like evolution.
organizzato da: Emanuele Latini

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