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


Towards causality formalism of quantum mechanics

Vladimir Anashin

Lomonosov Moscow State University
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MP4 996.9 Mb
MP4 253.0 Mb

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Vladimir Anashin
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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 $p=2$.

Language: English

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