RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
 Video Library Archive Most viewed videos Search RSS New in collection

You may need the following programs to see the files

New Trends in Mathematical and Theoretical Physics
October 7, 2016 12:30–13:00, Moscow, MIAN, Gubkina, 8

Towards causality formalism of quantum mechanics

Lomonosov Moscow State University
 Video records: MP4 996.9 Mb MP4 253.0 Mb

Abstract: Transducers (in particular, Mealy automata) constitute a formal model for causality and discreteness. It will be shown that Hilbert space-based QM formalism can be (to some extend) deduced mathematically from that model. Interestingly, the model leads to finite-dimensional (rather to infinite-dimensional) Hilbert spaces, but of very high dimension about $10^{45}$ (actually of order $\ln 2/\tau$, where $\tau$ is Planck time). The model also gives some evidence that in $p$-adic QM it should be taken $p=2$.