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KIAM Preprint № 70, Moscow, 2001
Authors: Kurakin P.V., Malinetskii G. G.
Cellular Automata with Pseudo - Quantum Evolution.
Abstract:
A new approach to quantum phenomena is proposed. A serious defect of traditional quantum mechanics is the absence of trajectories for particles. Quantum theory gives a recipe only to calculate the probability amplitude for particle transition from initial state to final one. Probability amplitude (wave function) obeys local differential equation, but it's not a real physical field. The theory doesn't consider what happens during such a transition in the space-time. The measuring and the reduction don't enter explicitly in the model of a particle. A model of a simple world with an artificial particle with pseudo-quantum evolution is assumed. Pseudo-quantum evolution means only that a particle can be in a localized or in unlocalized states. Other properties of real particles are not assumed. The model includes a real (in this artificial world) field corresponding to the particle. The reduction enters the model explicitly. A new class of cellular automata that evolve in such a way is proposed.
Publication language: russian
Research direction:
Mathematical modelling in actual problems of science and technics
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About authors:
  • Kurakin P. V.,  KIAM RAS
  • Malinetskii Georgii Gennadyevich,  orcid.org/0000-0002-1414-7180KIAM RAS