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Keywords = surjection interpretation of quantum mechanics

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6 pages, 303 KiB  
Article
The Surjective Mapping Conjecture and the Measurement Problem in Quantum Mechanics
by Fritz Wilhelm Bopp
Symmetry 2021, 13(11), 2155; https://doi.org/10.3390/sym13112155 - 11 Nov 2021
Viewed by 1667
Abstract
Accepting a time-symmetric quantum dynamical world with ontological wave functions or fields, we follow arguments that naturally lead to a two-boundary interpretation of quantum mechanics. The usual two boundary picture is a valid superdeterministic interpretation. It has, however, one unsatisfactory feature. The random [...] Read more.
Accepting a time-symmetric quantum dynamical world with ontological wave functions or fields, we follow arguments that naturally lead to a two-boundary interpretation of quantum mechanics. The usual two boundary picture is a valid superdeterministic interpretation. It has, however, one unsatisfactory feature. The random selection of a chosen measurement path of the universe is far too complicated. To avoid it, we propose an alternate two-boundary concept called surjective mapping conjecture. It takes as fundamental a quantum-time running forward like the usual time on the wave-function side and backward on the complex conjugate side. Unrelated fixed arbitrary boundary conditions at the initial and the final quantum times then determine the measurement path of the expanding and contracting quantum-time universe in the required way. Full article
(This article belongs to the Special Issue Quantum Mechanics: Concepts, Symmetries, and Recent Developments)
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9 pages, 370 KiB  
Article
Measurement Problem in Quantum Mechanics and the Surjection Hypothesis
by Fritz W. Bopp
Quantum Rep. 2021, 3(2), 316-324; https://doi.org/10.3390/quantum3020019 - 8 May 2021
Viewed by 3207
Abstract
Starting with unitary quantum dynamics, we investigate how to add quantum measurements. Quantum measurements have four essential components: the furcation, the witness production, an alignment projection, and the actual choice decision. The first two components still lie in the domain of unitary quantum [...] Read more.
Starting with unitary quantum dynamics, we investigate how to add quantum measurements. Quantum measurements have four essential components: the furcation, the witness production, an alignment projection, and the actual choice decision. The first two components still lie in the domain of unitary quantum dynamics. The decoherence concept explains the third contribution. It can be based on the requirement that witnesses reaching the end of time on the wave function side and the conjugate one have to be identical. In this way, it also stays within the quantum dynamics domain. The surjection hypothesis explains the actual choice decision. It is based on a two boundary interpretation applied to the complete quantum universe. It offers a simple way to reduce these seemingly random projections to purely deterministic unitary quantum dynamics, eliminating the measurement problem. Full article
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