Understanding quantum mechanics: a review and synthesis in precise language

Abstract

This review, of the understanding of quantum mechanics, is broad in scope, and aims to reflect enough of the literature to be representative of the current state of the subject. To enhance clarity, the main findings are presented in the form of a coherent synthesis of the reviewed sources. The review highlights core characteristics of quantum mechanics. One is statistical balance in the collective response of an ensemble of identically prepared systems, to differing measurement types. Another is that states are mathematical terms prescribing probability aspects of future events, relating to an ensemble of systems, in various situations. These characteristics then yield helpful insights on entanglement, measurement, and widely-discussed experiments and analyses. The review concludes by considering how these insights are supported, illustrated and developed by some specific approaches to understanding quantum mechanics. The review uses non-mathematical language precisely (terms defined) and rigorously (consistent meanings), and uses only such language. A theory more descriptive of independent reality than is quantum mechanics may yet be possible. One step in the pursuit of such a theory is to reach greater consensus on how to understand quantum mechanics. This review aims to contribute to achieving that greater consensus, and so to that pursuit.

48 Pages, originally published under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License at https://www.degruyter.com/view/j/phys.2019.17.issue-1/phys-2019-0045/phys-2019-0045.xml

References in corpus (49)

• Quantum Mechanics as Quantum Information (and only a little more)
• Is the quantum state real? An extended review of $\psi$-ontology theorems
• QBism, the Perimeter of Quantum Bayesianism
• The Free-Will Postulate in Quantum Mechanics
• Implications of the Pusey-Barrett-Rudolph quantum no-go theorem
• Quantum Dynamics without the Wave Function
• Quantum mechanics: Myths and facts
• Quantum Theory and Determinism
• Making Sense of Bell's Theorem and Quantum Nonlocality
• Four Tails Problems for Dynamical Collapse Theories
• Measurement and Collapse within the Two-State-Vector Formalism
• Partial traces in decoherence and in interpretation: What do reduced states refer to?
• Quantum Theory at the Crossroads: Reconsidering the 1927 Solvay Conference
• What does an experimental test of quantum contextuality prove or disprove?
• Quantum theory: Reconsideration of foundations
• On quantum vs. classical probability
• Bell's theorem and the issue of determinism and indeterminism
• The Problem of Confirmation in the Everett Interpretation
• Events and the Ontology of Quantum Mechanics
• Our Fundamental Physical Space: An Essay on the Metaphysics of the Wave Function
• Quantum Physics and Human Language
• Realism and Objectivism in Quantum Mechanics
• Can many-valued logic help to comprehend quantum phenomena?
• Quantum Non-Objectivity from Performativity of Quantum Phenomena
• Direct tests of measurement uncertainty relations: what it takes
• Relationalism about mechanics based on a minimalist ontology of matter
• On the Importance of Interpretation in Quantum Physics. A Reply to Elise Crull
• Canonical Relational Quantum Mechanics from Information Theory
• Bohr's Conception of the Quantum Mechanical State of a System and Its Role in the Framework of Complementarity
• Relational interpretation of the wave function and a possible way around Bell's theorem
• The Transactional Interpretation of Quantum Mechanics and Quantum Nonlocality
• The Wave Function and Quantum Reality
• Ontological states and dynamics of discrete (pre-)quantum systems
• Quantum mechanics explained
• The Bell-Kochen-Specker Theorem
• Is a description deeper than the quantum one possible?
• Foundations of Special Relativity and the Principle of Conservation of Information
• Relations between different notions of degrees of freedom of a quantum system and its classical model
• About a "contextuality loophole" in Bell's theorem claimed to exist by Nieuwenhuizen
• A Local-Realistic Model of Quantum Mechanics Based on a Discrete Spacetime (Extended version)
• A subquantum arrow of time
• A "problem of time" in the multiplicative scheme for the $n$-site hopper
• Is nonlocality responsible for the violation of Bell's inequalities?
• Experimental Bounds on Classical Random Field Theories
• Probability in modal interpretations of quantum mechanics
• The Maccone-Pati uncertainty relation
• Ontology and Quantum Mechanics
• Primitive ontology and quantum state in the GRW matter density theory
• A modal-Hamiltonian interpretation of quantum mechanics

Cited by in corpus (2)

• Violation of Bell Inequalities: Mapping the Conceptual Implications
• Quantum Mechanics: Statistical Balance Prompts Caution in Assessing Conceptual Implications