Systems with Single Degree of Freedom and the Interpretation of Quantum Mechanics

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We study the properties of a physical system which has left with only one degree of freedom. We find out that such a system demonstrates a number of peculiarities due to this limitation, including randomness, no-cloning and non-commutativity. Discussing such parallels with quantum behavior we postulate that other quantum phenomena can also be explained by studying these systems. As an example we offer an explanation for the EPR paradox. We also elucidate why counterfactual definiteness cannot be presumed in such systems. In the present work we concentrate on the interpretational aspects of quantum mechanics and assume that the formalism of the theory is correct and well-supported by experimental verification.
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First archival date: 2019-05-28
Latest version: 2 (2019-05-28)
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