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Toward the (non-cellular) automata interpretation of quantum mechanics: Volovich postulates as a roadmapстатья
- Автор: Anashin Vladimir
- Журнал: International Journal of Modern Physics A
- Год издания: 2022
- Издательство: World Scientific Publishing Co
- Местоположение издательства: Singapore
- DOI: 10.1142/s0217751x22430035
- Аннотация: The paper announces results which may lead to a novel (basically, information-theoretic) interpretation of quantum mechanics under assumptions of causality and existence of the smallest temporal interval. The main mathematical tool of the interpretation is p-adic 1-Lipschitz maps. The latter maps are exactly the maps produced by letter-to-letter transducers (or, sequential Mealy machines) rather than by cellular automata. Physically the maps can be judged as causal functions over discrete time which are models of physical systems. A wide class of the maps can naturally be expanded to continuous real functions; therefore the maps may serve as mathematical models of physical systems both over discrete and over continuous time.
- Добавил в систему: Анашин Владимир Сергеевич