preprints.org > computer science and mathematics > applied mathematics > doi: 10.20944/preprints202402.0013.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 31 January 2024 / Approved: 1 February 2024 / Online: 1 February 2024 (08:27:48 CET)
Version 2 : Received: 3 February 2024 / Approved: 5 February 2024 / Online: 5 February 2024 (11:00:39 CET)

The present paper reports an alternative solution of the measurement problem in quantum theory. The measurement problem can be characterized as that the U procedure verses the R procedure. The R-procedure is tested by the Yes/No measurement originally proposed by von Neuman and discussed in details by Penrose. We propose a novel stochastic sampling method to tackle the measurement paradox. Each testing sample produces a pair of Yes-number c and No-number d, which in turn generates a sample phase with respect to the exponential form of . All the sample phases form a group, write Taking as the sampling potential, the revised Schrödinger equation has the form . This equation has a solution , where is the dynamic phase, while is the sample phase. Based on the Born rule, the probability of a sample is given by the squared magnitude of . Some metaproperties of the new U-R model, such as natural transformation, consistency, and completeness, are presented. The present work provides a new picture of quantum mechanics and alike

U-R procedures; the Yes/No type measurement; stochastic sampling; sample phase; Schrödinger equation; Born probability

Computer Science and Mathematics, Applied Mathematics

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