Why Should We Interpret Quantum Mechanics?

Marchildon, Louis

doi:10.1023/b:foop.0000044100.95918.b2

Cited by 27 publications

(39 citation statements)

References 28 publications

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“…-What physically supports the information [ [515, § 6]? -How can independent reality behave for quantum mechanics to be true [6,35]?…”

Section: Information-based Approaches: Insights On Formalisms Few Onmentioning

confidence: 99%

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Understanding quantum mechanics: a review and synthesis in precise language

Drummond¹

2019

Open Physics

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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.

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“…-What physically supports the information [ [515, § 6]? -How can independent reality behave for quantum mechanics to be true [6,35]?…”

Section: Information-based Approaches: Insights On Formalisms Few Onmentioning

confidence: 99%

“…For some, the predictive power of quantum mechanics, allowing its use in practice, is all that matters. Others look either for a way of understanding the principles of quantum mechanics, or for what they might reveal about the world [1][2][3][4][5][6][7][8][9]. 2.…”

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confidence: 99%

Understanding quantum mechanics: a review and synthesis in precise language

Drummond¹

2019

Open Physics

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“…The general principles assumed at the outset are no doubt attractive, but yet open to questioning (Marchildon, 2004). …”

Section: );mentioning

confidence: 99%

The Bicomplex Heisenberg Uncertainty Principle

Lavoie¹,

Rochon²

2012

Theoretical Concepts of Quantum Mechanics

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“…[1] we demonstrated that in the opposition to a rather common opinion it is possible to consider the Dirac-von Neumann formalism as a natural approximation of classical statistical mechanics. In this note we do not have any possibility to discuss different views on the problems of interpretations of quantum mechanics and the correspondence between classical and quantum theories, see, e.g., Dirac [2] or von Neumann [3]; see also, e.g., De Muynck [4], Plotnitsky [5], Marchildon [6] and Khrennikov [7] for recent discussions.…”

Section: Introductionmentioning

confidence: 99%

Generalizations of Quantum Mechanics Induced by Classical Statistical Field Theory

Khrennikov¹

2005

Found Phys Lett

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We show that the Dirac-von Neumann formalism for quantum mechanics can be obtained as an approximation of classical statistical field theory. This approximation is based on the Taylor expansion (up to terms of the second order) of classical physical variables -maps f : Ω → R, where Ω is the infinite-dimensional Hilbert space. The space of classical statistical states consists of Gaussian measures ρ on Ω having zero mean value and dispersion σ 2 (ρ) ≈ h. This viewpoint to the conventional quantum formalism gives the possibility to create generalized quantum formalisms based on expansions of classical physical variables in the Taylor series up to terms of nth order and considering statistical states ρ having dispersion σ 2 (ρ) = h n (for n = 2 we obtain the conventional quantum formalism).

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Why Should We Interpret Quantum Mechanics?

Cited by 27 publications

References 28 publications

Understanding quantum mechanics: a review and synthesis in precise language

Understanding quantum mechanics: a review and synthesis in precise language

The Bicomplex Heisenberg Uncertainty Principle

Generalizations of Quantum Mechanics Induced by Classical Statistical Field Theory

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