Finiteness of propagation speed of interactions as condition of system closedness

On an example of modeling of motion of a free particle, possible positions of the particle in Minkowski space are determined, which are approximated by a periodic function. A concept of a subsystem corresponding to the possible position of the particle is introduced. A family of these subsystems is...

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Bibliographic Details
Main Authors: Yakovlev, Boris V., Nikiforova, Liudmila V.
Format: Conference Proceeding
Language:English
Subjects:
Minkowski space
Modelling
Periodic functions
Quantum mechanics
Superposition (mathematics)
Online Access:Get full text
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Summary:On an example of modeling of motion of a free particle, possible positions of the particle in Minkowski space are determined, which are approximated by a periodic function. A concept of a subsystem corresponding to the possible position of the particle is introduced. A family of these subsystems is considered as independent elements of a large infinite composite system. The homogeneous space of possible states is introduced, from which basic properties of the Minkowski space follow. Superimposition of the subsystems is quantum superposition of the states. Justifications of the Heisenberg uncertainty principle are given. In the modeling, an idea of manifestation of reality as a result of the superimposition of the systems was used. A condition of closedness of the system is determined. The law of increase of entropy of the closed system is justified.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.5079379