Completely real? A critical note on the claims by Colbeck and Renner

Hermens, Ronnie

doi:10.1016/j.shpsb.2020.08.005

Cited by 3 publications

(3 citation statements)

References 27 publications

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“…Bell-type analyses do not rule out such theories [ 1 ] (p. 421) [ 141 , 142 , 156 ], but do impose constraints on them [ 120 , 157 ]. Prequantum theories are also not ruled out by more recent analyses [ 158 ], and ruling them out might be impossible [ 157 ] (Section 5) [ 159 ] [ 160 ] (Section 8). For example, it has been suggested that “no-go theorems are…best understood as go-theorems…as a methodological starting point in theory development” [ 161 ] (p. 54).…”

Section: Conclusion Possibilities and Responsibilitiesmentioning

confidence: 99%

Quantum Mechanics: Statistical Balance Prompts Caution in Assessing Conceptual Implications

Drummond

2022

Entropy

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Throughout quantum mechanics there is statistical balance, in the collective response of an ensemble of systems to differing measurement types. Statistical balance is a core feature of quantum mechanics, underlying quantum mechanical states, and not yet explained. The concept of “statistical balance” is here explored, comparing its meaning since 2019 with its original meaning in 2001. Statistical balance now refers to a feature of contexts in which: (a) there is a prescribed probability other than 0 or 1 for the collective response of an ensemble to one measurement type; and (b) the collective response of the same ensemble to another measurement type demonstrates that no well-defined value can be attributed, for the property relevant to the original measurement type, to individual members of the ensemble. In some unexplained way, the outcomes of single runs of a measurement of the original type “balance” each other to give an overall result in line with the prescribed probability. Unexplained statistical balance prompts caution in assessing the conceptual implications of entanglement, measurement, uncertainty, and two-slit and Bell-type analyses. Physicists have a responsibility to the wider population to be conceptually precise about quantum mechanics, and to make clear that many possible conceptual implications are uncertain.

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Section: Conclusion Possibilities and Responsibilitiesmentioning

confidence: 99%

Quantum Mechanics: Statistical Balance Prompts Caution in Assessing Conceptual Implications

Drummond

2022

Entropy

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“…We acknowledge that the reconstruction of quantum theory from a minimal set of physics principle has already been much-studied field, as evidenced by the general perspectives derived in [176][177][178][179][180], sometimes even from a contextuality point of view [181]. Other works have shown that no extension of quantum theory can yield more accurate prediction of outcomes, if it is build on a probability basis [182,183] (see also [184] for a critical review).…”

Section: Towards a Quantum Foundations Perspectivementioning

confidence: 99%

From the problem of Future Contingents to Peres-Mermin square experiments: An introductory review to Contextuality

Masse

2021

Preprint

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J. A tale of contextuality... K. ...and its logical implications III. Mathematical proofs of contextuality A. The Kochen-Specker Bell theorem B. KCBS inequality C. Peres-Mermin Square IV. The graph-theoretic approach of Cabello, Severini and Winter (CSW) A. General definitions B. The case of KCBS as a paradigmatic example C. Generalisation D. Link with Bell inequalities V. A sheaf-category theoretic approach to contextuality A. Pictorial representation 1. Probabilistic contextuality 2. Logical contextuality 3. Strong contextuality B. A brief presentation of the mathematical frameworks of the model 1. Correlation experiments in sheaf-theoretic approach 2. Compatibility of marginals 3. Hierarchy of contextuality C. New questions D. An illustration of contextuality VI. A hypergrah approach to contextuality VII. An operational version of contextuality A. A toy model B. An operational theory of contextuality C. Application to quantum mechanics D. Reinterpretation of the Kochen-Specker results VIII. Contextuality-by-Default A.

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“…The Colbeck-Renner-Leegwater Theorem claims to prohibit cases like this, where the quantum state does not provide a full description for the prediction of future measurement outcomes[5,25]. However, Hermens has shown this rests on a faulty assumption, and so these cases are not prohibited[21].…”

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confidence: 99%

Could wavefunctions simultaneously represent knowledge and reality?

Hance

Rarity

Ladyman

2022

Quantum Stud.: Math. Found.

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In discussion of the interpretation of quantum mechanics the terms ‘ontic’ and ‘epistemic’ are often used in the sense of pertaining to what exists, and pertaining to cognition or knowledge respectively. The terms are also often associated with the formal definitions given by Harrigan and Spekkens for the wavefunction in quantum mechanics to be $$\psi $$ ψ -ontic or $$\psi $$ ψ -epistemic in the context of the ontological models framework. The formal definitions are contradictories, so that the wavefunction can be either $$\psi $$ ψ -epistemic or $$\psi $$ ψ -ontic but not both. However, we argue, nothing about the informal ideas of epistemic and ontic interpretations rules out wavefunctions representing both reality and knowledge. The implications of the Pusey–Barrett–Rudolph theorem and many other issues may be rethought in the light of our analysis.

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Completely real? A critical note on the claims by Colbeck and Renner

Cited by 3 publications

References 27 publications

Quantum Mechanics: Statistical Balance Prompts Caution in Assessing Conceptual Implications

Quantum Mechanics: Statistical Balance Prompts Caution in Assessing Conceptual Implications

From the problem of Future Contingents to Peres-Mermin square experiments: An introductory review to Contextuality

Could wavefunctions simultaneously represent knowledge and reality?

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