TITLE:
Schrödinger’s Cat Paradox Resolution Using GRW Collapse Model: Von Neumann Measurement Postulate Revisited
AUTHORS:
Jaykov Foukzon, Alex Potapov, Elena Men’kova, Stanislav Podosenov
KEYWORDS:
Probability Representation of Quantum States, Schrödinger’s Cat, GRW Collapse Model, Von Neumann Measurement Postulate
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.5 No.2,
February
24,
2017
ABSTRACT: In his famous thought experiment, Schr?dinger (1935) imagined a cat that measures the value of a quantum mechanical observable with its life. Since Schr?dinger’s time, no any interpretations or modifications of quantum mechanics have been proposed which give clear unambiguous answers to the questions posed by Schr?dinger’s cat of how long superpositions last and when (or whether) they collapse? In this paper appropriate modification of quantum mechanics is proposed. We claim that canonical interpretation of the wave function is correct only when the supports of the wave functions and essentially overlap. When the wave functions and have separated supports (as in the case of the experiment that we are considering in this paper) we claim that canonical interpretation of the wave function is no longer valid for a such cat state. Possible solution of the Schr?dinger’s cat paradox is considered. We pointed out that the collapsed state of the cat always shows definite and predictable outcomes even if cat also consists of a superposition: .