Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Resolution of the "Delayed-Choice Quantum Eraser" Paradox: Kinematics of Sine-Gordon Solitons and the Refutation of Retrocausality in the H4 Lattice

Гадам Магтымов

Published Mar 28, 2026• 0 citations
Publisher

Abstract

The “Delayed-choice quantum eraser” experiment is traditionally interpreted in the popular science mainstream as proof of retrocausality, while in the strict Copenhagen interpretation, it is reduced to fundamentally random post-selection. In this paper, this paradox is completely demystified within the framework of the Topological-Plexor kinematics of the vacuum. It is shown that the macroscopic chronology of events is never violated, and quantum randomness is an illusion. This illusion arises solely from ignoring the hidden fundamental 4D-metric (GAB) and the superluminal phase transfer by a Sine-Gordon soliton. In our discrete model, the impact of the Signal photon on the screen (in the past) generates a topological kink, which propagates along a 1D-chord at a velocity v4D ≫ c and deterministically “reprograms” the spinor phase of the Idler photon on the fly. The subsequent behavior of the Idler photon at the beam splitters (in the future) is not a probabilistic choice, but a rigid mechanical consequence of the Signal photon’s impact coordinate. The introduction of a macroscopic No-Signaling Theorem proves that this mechanism does not violate Special Relativity (SR). The Topological-Plexor paradigm (TPN/PPU) restores absolute causality, eliminates quantum mysticism, and paves the way for describing extreme cosmological states of matter.

DOI
10.5281/zenodo.19285209

Related papers

The Quantum Eraser Paradox

Colm P. Bracken, Jonte R. Hance, Sabine Hossenfelder

The Delayed-Choice Quantum Eraser experiment is commonly interpreted as implying that in quantum mechanics a choice made at one time can influence an earlier event. We here suggest an extension of the experiment that results in a paradox when analysed in a local realist interpretation combined with backward causation (``dynamical retrocausality''). We argue that resolving the paradox requires giving up the idea that, in quantum mechanics, a choice can influence the past in this way, and that it instead requires a violation of Statistical Independence without (what most people think of as) retrocausality. Finally, we propose an implementation of the experiment that we believe to be possible with existing technology. This new experiment can distinguish between different types of hidden-variables theories in a way that Bell-type tests cannot: unlike in a Bell test, the measurement setting here is set by an earlier outcome, which makes the consistency of the backwards influence itself testable. We classify the fixed-point (consistency-enforcing) hidden-variables models of the experiment, which can reproduce quantum mechanics only if the backwards influence has no observable effect.

arXiv:2111.09347•Nov 17, 2021•0 citations

A Standard Quantum Mechanical Treatment to Rationalize the Delayed-Choice Quantum Eraser

Vipul Badhan, Pranvi, Samreet Dhillon +1 more

Ever since the proposal of delayed choice quantum erasure and subsequent realization in the experiment by Kim et al., the interpretation and implications of delayed-choice experiments have remained a subject of intense foundational debate. This paper resolves the apparent paradox attached to the experiment using standard quantum mechanics. Using an extended Mach-Zehnder interferometer which captures every operational feature of the original experiment, we show that choosing between which-path and erasure detectors is simply a choice of measurement bases, which does not rewrite a photon's past. Furthermore, by mapping the experiment to a two-way Stern-Gerlach framework, we prove that quantum erasure is an expected result of measuring entangled states, not a physical anomaly. Ultimately, through a pedagogical game, we illustrate that the illusion of retrocausality arises from asking illegitimate questions, and that a forward-in-time description is entirely sufficient to explain the logic.

quant-pharXiv:2608.02185•Aug 4, 2026•0 citations

Macroscopic delayed choice and retrocausality: Quantum eraser, Leggett-Garg, and dimension witness tests with cat states

Manushan Thenabadu, M. D. Reid

We propose delayed-choice experiments carried out with macroscopic qubits, realized as macroscopically distinct coherent states $|\ensuremath{\alpha}\ensuremath{\rangle}$ and $|\ensuremath{-}\ensuremath{\alpha}\ensuremath{\rangle}$. Quantum superpositions of $|\ensuremath{\alpha}\ensuremath{\rangle}$ and $|\ensuremath{-}\ensuremath{\alpha}\ensuremath{\rangle}$ are created via a unitary interaction $U(\ensuremath{\theta})$ based on a nonlinear Hamiltonian, in analogy with polarizing beam splitters used in photonic experiments. Macroscopic delayed-choice experiments give a compelling reason to develop interpretations not allowing macroscopic retrocausality: This would otherwise suggest changes to the macroscopic qubit value based on a future measurement setting $\ensuremath{\phi}$. We therefore consider weak macroscopic realism (wMR), which for the system at time $t$ specifies a hidden variable ${\ensuremath{\lambda}}_{\ensuremath{\theta}}$ to determine the macroscopic qubit value, independently of $\ensuremath{\phi}$. Using entangled cat states, we demonstrate a quantum eraser where the choice to measure a which-way or wave-type property is delayed. Consistency with wMR is possible, if we interpret the macroscopic qubit value to be determined by ${\ensuremath{\lambda}}_{\ensuremath{\theta}}$ without specification of the state at the level of $\ensuremath{\hbar}$. We then demonstrate violations of a delayed-choice Leggett-Garg inequality, and of the Wheeler-Chaves-Lemos-Pienaar dimension witness inequality, for the macroscopic qubits. This negates all two-dimensional nonretrocausal wMR models. However, one can interpret consistently with wMR, thus avoiding conclusions of macroscopic retrocausality, by noting extra dimensions, and that violations require further unitary dynamics $U$ after $t$. The violations are then explained as failure of deterministic macroscopic realism, which specifies the validity of ${\ensuremath{\lambda}}_{\ensuremath{\theta}}$ prior to the dynamics $U(\ensuremath{\theta})$ determining the measurement setting $\ensuremath{\theta}$. Finally, although there is consistency with wMR for macroscopic observations, Einstein-Podolsky-Rosen--type paradoxes pointing to the incompleteness of quantum mechanics exist at a microscopic level, based on fringe distributions.

arXiv:2109.12465•Physical Review A•Jun 8, 2022•9 citations

Quantum Erasure and the Photon Helix: A KuiQuark Sea Interpretation of Delayed-Choice Experiments

Lingguang Xu

The delayed-choice quantum eraser is often misinterpreted as evidence of retrocausality. This paper provides a physical alternative based on the XLG cosmology's Photon Helix model. Photons emitted from a fixed source at a constant angle form an ordered phase-locked sequence propagating through the KuiQuark Sea. Interference fringes arise from phase superposition of the KuiQuark wave, not from single-photon path superposition. Quantum erasure does not retroactively recover interference; it selects a phase component from pre-existing detection data. The delayed choice operates on post-collected data, not on photon propagation history. This interpretation is consistent with the double-slit two-layer wave mechanism in XLG cosmology and reproduces all measured correlations without retrocausality.

•Jun 20, 2026•0 citations

Does the Quantum Eraser Erase the Past?: Correlation Structures and Accessibility within the Intrinsic Observability Framework

Atsushi Okamoto

The delayed-choice quantum eraser is frequently presented as suggesting that a measurement performed in the future can influence an event that has already occurred. However, the experimental observations themselves do not require such a retrocausal interpretation. This paper reexamines the quantum eraser from the perspective of the Intrinsic Observability Framework (IOF), with particular attention to the role of distinguishability in the idler measurement. The essential experimental distinction is whether the idler is measured in a basis that preserves the distinguishability of the two generation alternatives or in a superposition basis that removes this distinguishability. In the former case, no conditional interference pattern appears, whereas in the latter, complementary interference patterns can be recovered through coincidence analysis. Importantly, this delayed choice does not modify any previously recorded signal event. Rather, the later idler outcome determines how the already recorded signal events are conditionally classified according to the implemented measurement basis. Within the IOF, this structure is interpreted by distinguishing Potential Observability (PO) from operationally established observable values. PO may contain phase relations, entanglement, and correlation structures without requiring pre-existing definite observable values. Measurement grants accessibility and establishes observable values, while subsequent correlation analysis reveals relational structures preserved among those values. From this perspective, the quantum eraser neither erases nor rewrites the past; it reveals how different accessibility conditions expose different conditional structures within the same set of measurement records. The analysis further shows that the beam splitter itself is not the fundamental element of quantum erasure: the essential condition is whether the idler measurement preserves or removes distinguishability between the alternatives. This distinction provides a direct connection between quantum erasure and the broader IOF concept of accessibility while remaining compatible with the standard quantum-mechanical formalism.

•Sep 26, 2026•0 citations

PFUSRC-048 Delayed-Choice Experiments Are Not Retroactive: Topological Reassignment of Uncompleted Four-Dimensional \Psi-\Xi Anchoring

Zhenmin Wang

The delayed-choice quantum eraser experiment (Kim et al., 1999) produced precise, reproducible data, yet mainstream physics remains trapped in a persistent explanatory crisis. Mainstream accounts invoke “post-selection,” “quantum entanglement,” and inequality formalisms such as V^2+K^2 \le 1, but consistently fail to answer one fundamental question: Why does the post-measurement choice exhibit strict one-to-one correlation with the pre-recorded detection outcomes? This paper argues that the root of the mainstream impasse lies in an unexamined ontological presupposition: that quantum systems are passive, structureless point particles. Based on the PFUSRC biconic ontology, this paper proposes that quantum systems possess a \Psi-\Xi dual ontological structure (Noetic-Affective coupling). Throughout the experiment, the anchoring process remains incomplete; the post-measurement is not a rewriting of history but a boundary-condition reassignment at the response terminal. Within this framework, all apparent “paradoxes” dissolve naturally. This paper does not deny the experimental data. It only points out: the problem is not in physics, but in ontology. It is not the future changing the past; it is the three-dimensional observer never having seen the complete four-dimensional anchoring process.

•Jun 16, 2026•0 citations
The “Delayed-choice quantum eraser” experiment is traditionally interpreted in the popular science mainstream as proof of retrocausality, while in the strict Copenhagen interpretation, it is reduced to fundamentally random post-selection. In this paper, this paradox is completely demystified within the framework of the Topological-Plexor kinematics of the vacuum. It is shown that the macroscopic chronology of events is never violated, and quantum randomness is an illusion. This illusion arises solely from ignoring the hidden fundamental 4D-metric (GAB) and the superluminal phase transfer by a Sine-Gordon soliton. In our discrete model, the impact of the Signal photon on the screen (in the past) generates a topological kink, which propagates along a 1D-chord at a velocity v4D ≫ c and deterministically “reprograms” the spinor phase of the Idler photon on the fly. The subsequent behavior of the Idler photon at the beam splitters (in the future) is not a probabilistic choice, but a rigid mechanical consequence of the Signal photon’s impact coordinate. The introduction of a macroscopic No-Signaling Theorem proves that this mechanism does not violate Special Relativity (SR). The Topological-Plexor paradigm (TPN/PPU) restores absolute causality, eliminates quantum mysticism, and paves the way for describing extreme cosmological states of matter.
The Delayed-Choice Quantum Eraser experiment is commonly interpreted as implying that in quantum mechanics a choice made at one time can influence an earlier event. We here suggest an extension of the experiment that results in a paradox when analysed in a local realist interpretation combined with backward causation (``dynamical retrocausality''). We argue that resolving the paradox requires giving up the idea that, in quantum mechanics, a choice can influence the past in this way, and that it instead requires a violation of Statistical Independence without (what most people think of as) retrocausality. Finally, we propose an implementation of the experiment that we believe to be possible with existing technology. This new experiment can distinguish between different types of hidden-variables theories in a way that Bell-type tests cannot: unlike in a Bell test, the measurement setting here is set by an earlier outcome, which makes the consistency of the backwards influence itself testable. We classify the fixed-point (consistency-enforcing) hidden-variables models of the experiment, which can reproduce quantum mechanics only if the backwards influence has no observable effect.
Ever since the proposal of delayed choice quantum erasure and subsequent realization in the experiment by Kim et al., the interpretation and implications of delayed-choice experiments have remained a subject of intense foundational debate. This paper resolves the apparent paradox attached to the experiment using standard quantum mechanics. Using an extended Mach-Zehnder interferometer which captures every operational feature of the original experiment, we show that choosing between which-path and erasure detectors is simply a choice of measurement bases, which does not rewrite a photon's past. Furthermore, by mapping the experiment to a two-way Stern-Gerlach framework, we prove that quantum erasure is an expected result of measuring entangled states, not a physical anomaly. Ultimately, through a pedagogical game, we illustrate that the illusion of retrocausality arises from asking illegitimate questions, and that a forward-in-time description is entirely sufficient to explain the logic.
We propose delayed-choice experiments carried out with macroscopic qubits, realized as macroscopically distinct coherent states $|\ensuremath{\alpha}\ensuremath{\rangle}$ and $|\ensuremath{-}\ensuremath{\alpha}\ensuremath{\rangle}$. Quantum superpositions of $|\ensuremath{\alpha}\ensuremath{\rangle}$ and $|\ensuremath{-}\ensuremath{\alpha}\ensuremath{\rangle}$ are created via a unitary interaction $U(\ensuremath{\theta})$ based on a nonlinear Hamiltonian, in analogy with polarizing beam splitters used in photonic experiments. Macroscopic delayed-choice experiments give a compelling reason to develop interpretations not allowing macroscopic retrocausality: This would otherwise suggest changes to the macroscopic qubit value based on a future measurement setting $\ensuremath{\phi}$. We therefore consider weak macroscopic realism (wMR), which for the system at time ttt specifies a hidden variable ${\ensuremath{\lambda}}_{\ensuremath{\theta}}$ to determine the macroscopic qubit value, independently of $\ensuremath{\phi}$. Using entangled cat states, we demonstrate a quantum eraser where the choice to measure a which-way or wave-type property is delayed. Consistency with wMR is possible, if we interpret the macroscopic qubit value to be determined by ${\ensuremath{\lambda}}_{\ensuremath{\theta}}$ without specification of the state at the level of $\ensuremath{\hbar}$. We then demonstrate violations of a delayed-choice Leggett-Garg inequality, and of the Wheeler-Chaves-Lemos-Pienaar dimension witness inequality, for the macroscopic qubits. This negates all two-dimensional nonretrocausal wMR models. However, one can interpret consistently with wMR, thus avoiding conclusions of macroscopic retrocausality, by noting extra dimensions, and that violations require further unitary dynamics UUU after ttt. The violations are then explained as failure of deterministic macroscopic realism, which specifies the validity of ${\ensuremath{\lambda}}_{\ensuremath{\theta}}$ prior to the dynamics $U(\ensuremath{\theta})$ determining the measurement setting $\ensuremath{\theta}$. Finally, although there is consistency with wMR for macroscopic observations, Einstein-Podolsky-Rosen--type paradoxes pointing to the incompleteness of quantum mechanics exist at a microscopic level, based on fringe distributions.
The delayed-choice quantum eraser is often misinterpreted as evidence of retrocausality. This paper provides a physical alternative based on the XLG cosmology's Photon Helix model. Photons emitted from a fixed source at a constant angle form an ordered phase-locked sequence propagating through the KuiQuark Sea. Interference fringes arise from phase superposition of the KuiQuark wave, not from single-photon path superposition. Quantum erasure does not retroactively recover interference; it selects a phase component from pre-existing detection data. The delayed choice operates on post-collected data, not on photon propagation history. This interpretation is consistent with the double-slit two-layer wave mechanism in XLG cosmology and reproduces all measured correlations without retrocausality.
The delayed-choice quantum eraser is frequently presented as suggesting that a measurement performed in the future can influence an event that has already occurred. However, the experimental observations themselves do not require such a retrocausal interpretation. This paper reexamines the quantum eraser from the perspective of the Intrinsic Observability Framework (IOF), with particular attention to the role of distinguishability in the idler measurement. The essential experimental distinction is whether the idler is measured in a basis that preserves the distinguishability of the two generation alternatives or in a superposition basis that removes this distinguishability. In the former case, no conditional interference pattern appears, whereas in the latter, complementary interference patterns can be recovered through coincidence analysis. Importantly, this delayed choice does not modify any previously recorded signal event. Rather, the later idler outcome determines how the already recorded signal events are conditionally classified according to the implemented measurement basis. Within the IOF, this structure is interpreted by distinguishing Potential Observability (PO) from operationally established observable values. PO may contain phase relations, entanglement, and correlation structures without requiring pre-existing definite observable values. Measurement grants accessibility and establishes observable values, while subsequent correlation analysis reveals relational structures preserved among those values. From this perspective, the quantum eraser neither erases nor rewrites the past; it reveals how different accessibility conditions expose different conditional structures within the same set of measurement records. The analysis further shows that the beam splitter itself is not the fundamental element of quantum erasure: the essential condition is whether the idler measurement preserves or removes distinguishability between the alternatives. This distinction provides a direct connection between quantum erasure and the broader IOF concept of accessibility while remaining compatible with the standard quantum-mechanical formalism.
The delayed-choice quantum eraser experiment (Kim et al., 1999) produced precise, reproducible data, yet mainstream physics remains trapped in a persistent explanatory crisis. Mainstream accounts invoke “post-selection,” “quantum entanglement,” and inequality formalisms such as V^2+K^2 \le 1, but consistently fail to answer one fundamental question: Why does the post-measurement choice exhibit strict one-to-one correlation with the pre-recorded detection outcomes? This paper argues that the root of the mainstream impasse lies in an unexamined ontological presupposition: that quantum systems are passive, structureless point particles. Based on the PFUSRC biconic ontology, this paper proposes that quantum systems possess a \Psi-\Xi dual ontological structure (Noetic-Affective coupling). Throughout the experiment, the anchoring process remains incomplete; the post-measurement is not a rewriting of history but a boundary-condition reassignment at the response terminal. Within this framework, all apparent “paradoxes” dissolve naturally. This paper does not deny the experimental data. It only points out: the problem is not in physics, but in ontology. It is not the future changing the past; it is the three-dimensional observer never having seen the complete four-dimensional anchoring process.