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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 10^43 (actually of order ln2/τ, where τ is Planck time). The model also gives some evidence that in p-adic QM it should be taken p=2. Video (30 min) http://www.mathnet.ru/php/presentation.phtml?option_lang=eng&presentid=14908
№ | Имя | Описание | Имя файла | Размер | Добавлен |
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1. | Презентация | Anashin_QM_causality_formalism.pdf | 3,4 МБ | 10 октября 2016 [vs-anashin] |