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)
How to cite:
Yang, Y. The Revised Schrödinger Equation as a Solution of Measurement Paradox: A Unified Model of the U-procedure and R-procedure. Preprints2024, 2024020013. https://doi.org/10.20944/preprints202402.0013.v2
Yang, Y. The Revised Schrödinger Equation as a Solution of Measurement Paradox: A Unified Model of the U-procedure and R-procedure. Preprints 2024, 2024020013. https://doi.org/10.20944/preprints202402.0013.v2
Yang, Y. The Revised Schrödinger Equation as a Solution of Measurement Paradox: A Unified Model of the U-procedure and R-procedure. Preprints2024, 2024020013. https://doi.org/10.20944/preprints202402.0013.v2
APA Style
Yang, Y. (2024). The Revised Schrödinger Equation as a Solution of Measurement Paradox: A Unified Model of the U-procedure and R-procedure. Preprints. https://doi.org/10.20944/preprints202402.0013.v2
Chicago/Turabian Style
Yang, Y. 2024 "The Revised Schrödinger Equation as a Solution of Measurement Paradox: A Unified Model of the U-procedure and R-procedure" Preprints. https://doi.org/10.20944/preprints202402.0013.v2
Abstract
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 (c+id). All the sample phases forms a group GR.Taking GR as the sampling potential, combined with the dynamic phase group GU，we establish a unified model of U-procedure and R-procedure for the evolution of wavefunction. Based on the Born rule, the probability of a sample is given by the squared magnitude of （c+id）. 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. The measurement problem widely exists in dynamic analysis, higher cognition, and large data modeling. Thus, the work reported here has a wide range of applications. Keywords: The measurement problem; U-R procedures; the Yes/No type measurement; stochastic sampling; sample phase; Born probability.
Keywords
The measurement problem; U-R procedures; the Yes/No type measurement; stochastic sampling; sample phase; Born probability
Subject
Computer Science and Mathematics, Applied Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
