Bell's Theorem and Quantum Realism: Reassessment in Light of the Schrödinger Paradox

The Einstein-Podolsky-Rosen (EPR) paradox was presented as an argument that quantum mechanics is an incomplete description of physical reality. However, the premises on which the argument is based are falsifiable by Bell experiments. In this paper, we examine the EPR paradox from the perspective of Schrodinger's reply to EPR. Schrodinger pointed out that the correlated states of the paradox enable the simultaneous measurement of $\hat{x}$ and $\hat{p}$ , one by direct, the other by indirect measurement. Schrodinger's analysis takes on a timely importance because a recent experiment realizes these correlations for macroscopic atomic systems. Different to the original argument, Schrodinger's analysis applies to the experiment at the time when the measurement settings have been fixed. In this context, a subset of local realistic assumptions (not negated by Bell's theorem) implies that $x$ and $p$ are simultaneously precisely defined. Hence, an alternative EPR argument can be presented that quantum mechanics is incomplete, based on a set of (arguably) nonfalsifiable premises. As systems are amplified, macroscopic realism can be invoked, and the premises are referred to as weak macroscopic realism (wMR). In this paper, we propose a realization of Schrodinger's gedanken experiment where field quadrature phase amplitudes $\hat{X}$ and $\hat{P}$ replace position and momentum. Assuming wMR, we derive a criterion for the incompleteness of quantum mechanics, showing that the criterion is feasible for current experiments. Questions raised by Schrodinger are resolved. By performing simulations based on an objective-field ( $Q$ -based) model for quantum mechanics, we illustrate the emergence on amplification of simultaneous predetermined values for $\hat{X}$ and $\hat{P}$ . The values can be regarded as weak elements of reality, along the lines of Bell's macroscopic beables.The Einstein-Podolsky-Rosen (EPR) paradox was presented as an argument that quantum mechanics is an incomplete description of physical reality. However, the premises on which the argument is based are falsifiable by Bell experiments. In this paper, we examine the EPR paradox from the perspective of Schrodinger's reply to EPR. Schrodinger pointed out that the correlated states of the paradox enable the simultaneous measurement of $\hat{x}$ and $\hat{p}$, one by direct, the other by indirect measurement. Schrodinger's analysis takes on a timely importance because a recent experiment realizes these correlations for macroscopic atomic systems. Different to the original argument, Schrodinger's analysis applies to the experiment at the time when the measurement settings have been fixed. In this context, a subset of local realistic assumptions (not negated by Bell's theorem) implies that $x$ and $p$ are simultaneously precisely defined. Hence, an alternative EPR argument can be presented that quantum mechanics is incomplete, based on a set of (arguably) nonfalsifiable premises. As systems are amplified, macroscopic realism can be invoked, and the premises are referred to as weak macroscopic realism (wMR). In this paper, we propose a realization of Schrodinger's gedanken experiment where field quadrature phase amplitudes $\hat{X}$ and $\hat{P}$ replace position and momentum. Assuming wMR, we derive a criterion for the incompleteness of quantum mechanics, showing that the criterion is feasible for current experiments. Questions raised by Schrodinger are resolved. By performing simulations based on an objective-field ($Q$-based) model for quantum mechanics, we illustrate the emergence on amplification of simultaneous predetermined values for $\hat{X}$ and $\hat{P}$. The values can be regarded as weak elements of reality, along the lines of Bell's macroscopic beables.

arXiv:2412.00406Nov 30, 20240 citations

Interpretation of the EPR Paradox and Bell's Theorem in QTIP Cosmology

Seungyoung Choi

This paper aims to examine the EPR paradox and Bell’s theorem, which can be regarded as foundational concepts of modern physics, from the perspective of QTIP cosmology. In modern physics, the EPR paradox, assuming locality and realism, raised questions about the completeness of quantum theory, while Bell’s theorem showed that local hidden-variable theories cannot reproduce the predictions of quantum mechanics. This study attempts an interpretation of these two key proposals based on the premise in QTIP cosmology that absolute information exists in the imaginary domain. Furthermore, it proposes that the imaginary domain in which absolute information exists can be interpreted as Hilbert space, and further presents the possibility that this imaginary-domain absolute-information preservation space may be understood in a realist sense.This paper aims to examine the EPR paradox and Bell’s theorem, which can be regarded as foundational concepts of modern physics, from the perspective of QTIP cosmology. In modern physics, the EPR paradox, assuming locality and realism, raised questions about the completeness of quantum theory, while Bell’s theorem showed that local hidden-variable theories cannot reproduce the predictions of quantum mechanics. This study attempts an interpretation of these two key proposals based on the premise in QTIP cosmology that absolute information exists in the imaginary domain. Furthermore, it proposes that the imaginary domain in which absolute information exists can be interpreted as Hilbert space, and further presents the possibility that this imaginary-domain absolute-information preservation space may be understood in a realist sense.

Mar 6, 20260 citations

Bell's Theorem Refuted: Real Physics and Philosophy for Quantum Mechanics

Gordon Watson

Physics EssaysSep 1, 19983 citations

The Nonlocal Ledger: A Narrative Review of Entanglement, from the EPR Paradox to the Loophole-Free Bell Tests

Zen Revista, 10 PHYSICS

Entanglement is quantum mechanics' deepest peculiarity: the correlation of distant systems beyond any classical accounting, first posed as the Einstein–Podolsky–Rosen paradox, named and analyzed by Schrödinger, converted into an experimental question by Bell's theorem, answered by five decades of tests, and finally promoted from paradox to resource—the currency of quantum cryptography, teleportation, and information. This article presents a narrative review of the primary literature that built that arc, from Einstein, Podolsky, and Rosen's 1935 challenge and Schrödinger's 1935 naming of the entanglement, through Bell's 1964 inequality, the Clauser–Horne–Shimony–Holt 1969 generalization, Freedman and Clauser's 1972 first experimental test, Aspect, Dalibard, and Roger's 1982 time-varying analyzer experiment, Wootters and Zurek's 1982 no-cloning theorem, Ekert's 1991 Bell-based cryptography, Bennett and colleagues' 1993 teleportation protocol, Bouwmeester and colleagues' 1997 experimental teleportation, the Horodecki family's 2009 entanglement synthesis, and Hensen and colleagues' 2015 loophole-free violation. The synthesis is organized around three themes: the paradox and its quantification, in which the EPR argument became Bell's inequality—local realism's testable form; the experimental settlement, in which the inequalities' violations closed the loopholes; and the resource turn, in which no-cloning, teleportation, and Ekert's protocol made the nonlocality useful. It is concluded that entanglement's history is physics' clearest case of an objection becoming an engine—the correlations EPR found unreasonable are the correlations the technology now distributes.Entanglement is quantum mechanics' deepest peculiarity: the correlation of distant systems beyond any classical accounting, first posed as the Einstein–Podolsky–Rosen paradox, named and analyzed by Schrödinger, converted into an experimental question by Bell's theorem, answered by five decades of tests, and finally promoted from paradox to resource—the currency of quantum cryptography, teleportation, and information. This article presents a narrative review of the primary literature that built that arc, from Einstein, Podolsky, and Rosen's 1935 challenge and Schrödinger's 1935 naming of the entanglement, through Bell's 1964 inequality, the Clauser–Horne–Shimony–Holt 1969 generalization, Freedman and Clauser's 1972 first experimental test, Aspect, Dalibard, and Roger's 1982 time-varying analyzer experiment, Wootters and Zurek's 1982 no-cloning theorem, Ekert's 1991 Bell-based cryptography, Bennett and colleagues' 1993 teleportation protocol, Bouwmeester and colleagues' 1997 experimental teleportation, the Horodecki family's 2009 entanglement synthesis, and Hensen and colleagues' 2015 loophole-free violation. The synthesis is organized around three themes: the paradox and its quantification, in which the EPR argument became Bell's inequality—local realism's testable form; the experimental settlement, in which the inequalities' violations closed the loopholes; and the resource turn, in which no-cloning, teleportation, and Ekert's protocol made the nonlocality useful. It is concluded that entanglement's history is physics' clearest case of an objection becoming an engine—the correlations EPR found unreasonable are the correlations the technology now distributes.

Aug 29, 20260 citations

\hat{x}

and

\hat{p}

, one by direct, the other by indirect measurement. Schrodinger's analysis takes on a timely importance because a recent experiment realizes these correlations for macroscopic atomic systems. Different to the original argument, Schrodinger's analysis applies to the experiment at the time when the measurement settings have been fixed. In this context, a subset of local realistic assumptions (not negated by Bell's theorem) implies that

x

and

p

are simultaneously precisely defined. Hence, an alternative EPR argument can be presented that quantum mechanics is incomplete, based on a set of (arguably) nonfalsifiable premises. As systems are amplified, macroscopic realism can be invoked, and the premises are referred to as weak macroscopic realism (wMR). In this paper, we propose a realization of Schrodinger's gedanken experiment where field quadrature phase amplitudes

\hat{X}

and

\hat{P}

replace position and momentum. Assuming wMR, we derive a criterion for the incompleteness of quantum mechanics, showing that the criterion is feasible for current experiments. Questions raised by Schrodinger are resolved. By performing simulations based on an objective-field (

Q

-based) model for quantum mechanics, we illustrate the emergence on amplification of simultaneous predetermined values for

\hat{X}

and

\hat{P}

. The values can be regarded as weak elements of reality, along the lines of Bell's macroscopic beables.