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Wheeler's Delayed-Choice Experiment as an

YOUNG HO GOH

Published Apr 2, 2026• 0 citations
Publisher

Abstract

Wheeler's delayed-choice experiment appears to show that a choice made now retroactively determines whether a photon behaved as a wave or particle in the past — even billions of years ago in the cosmic version. This has been interpreted as evidence for retrocausality, the role of consciousness in collapsing the wave function, or the many-worlds interpretation. We show that none of these interpretations is required. In the information processing load framework established in Papers 4 and 7, the photon propagates with n ≈ 0 environmental interactions throughout its journey. Since n = 0 < n* for all physical photons, the condition C_wave < C_particle holds: the wave state is maintained for the entire propagation duration, regardless of whether that duration is nanoseconds or 10 Gyr. The experimenter's detector setting determines only n_detector at the moment of detection — not the photon's state during propagation. The interference visibility function is V = max(0, 1 − n_detector/n*): full interference when n_detector = 0, no interference when n_detector ≥ n*. We verify numerically that a photon from a quasar 10 Gly distant accumulates n ≈ 2.6 × 10⁶ CMB scatterings during propagation, while n* ≈ 82 for a 500 nm photon — confirming n << n* and wave state maintenance. The apparent retrocausality is a consequence of a misidentification: the question 'which path did the photon take during propagation?' presupposes a definite path during propagation, but in the load framework the photon was not in a path-definite state. There is no fact of the matter about the path during propagation. The detector choice at detection determines what question can meaningfully be asked — not what happened in the past.Wheeler's delayed-choice experiment appears to show that a choice made now retroactively determines whether a photon behaved as a wave or particle in the past — even billions of years ago in the cosmic version. This has been interpreted as evidence for retrocausality, the role of consciousness in collapsing the wave function, or the many-worlds interpretation. We show that none of these interpretations is required. In the information processing load framework established in Papers 4 and 7, the photon propagates with n ≈ 0 environmental interactions throughout its journey. Since n = 0 < n* for all physical photons, the condition C_wave < C_particle holds: the wave state is maintained for the entire propagation duration, regardless of whether that duration is nanoseconds or 10 Gyr. The experimenter's detector setting determines only n_detector at the moment of detection — not the photon's state during propagation. The interference visibility function is V = max(0, 1 − n_detector/n*): full interference when n_detector = 0, no interference when n_detector ≥ n*. We verify numerically that a photon from a quasar 10 Gly distant accumulates n ≈ 2.6 × 10⁶ CMB scatterings during propagation, while n* ≈ 82 for a 500 nm photon — confirming n << n* and wave state maintenance. The apparent retrocausality is a consequence of a misidentification: the question 'which path did the photon take during propagation?' presupposes a definite path during propagation, but in the load framework the photon was not in a path-definite state. There is no fact of the matter about the path during propagation. The detector choice at detection determines what question can meaningfully be asked — not what happened in the past. Keywords: delayed-choice experiment; Wheeler; retrocausality; information processing load; wave function collapse; quantum eraser; cosmic photon; weak measurement; n < n*; no consciousness required

DOI
10.6084/m9.figshare.31928538

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Wheeler's delayed-choice experiment appears to show that a choice made now retroactively determines whether a photon behaved as a wave or particle in the past — even billions of years ago in the cosmic version. This has been interpreted as evidence for retrocausality, the role of consciousness in collapsing the wave function, or the many-worlds interpretation. We show that none of these interpretations is required. In the information processing load framework established in Papers 4 and 7, the photon propagates with n ≈ 0 environmental interactions throughout its journey. Since n = 0 < n* for all physical photons, the condition C_wave < C_particle holds: the wave state is maintained for the entire propagation duration, regardless of whether that duration is nanoseconds or 10 Gyr. The experimenter's detector setting determines only n_detector at the moment of detection — not the photon's state during propagation. The interference visibility function is V = max(0, 1 − n_detector/n*): full interference when n_detector = 0, no interference when n_detector ≥ n*. We verify numerically that a photon from a quasar 10 Gly distant accumulates n ≈ 2.6 × 10⁶ CMB scatterings during propagation, while n* ≈ 82 for a 500 nm photon — confirming n << n* and wave state maintenance. The apparent retrocausality is a consequence of a misidentification: the question 'which path did the photon take during propagation?' presupposes a definite path during propagation, but in the load framework the photon was not in a path-definite state. There is no fact of the matter about the path during propagation. The detector choice at detection determines what question can meaningfully be asked — not what happened in the past.Wheeler's delayed-choice experiment appears to show that a choice made now retroactively determines whether a photon behaved as a wave or particle in the past — even billions of years ago in the cosmic version. This has been interpreted as evidence for retrocausality, the role of consciousness in collapsing the wave function, or the many-worlds interpretation. We show that none of these interpretations is required. In the information processing load framework established in Papers 4 and 7, the photon propagates with n ≈ 0 environmental interactions throughout its journey. Since n = 0 < n* for all physical photons, the condition C_wave < C_particle holds: the wave state is maintained for the entire propagation duration, regardless of whether that duration is nanoseconds or 10 Gyr. The experimenter's detector setting determines only n_detector at the moment of detection — not the photon's state during propagation. The interference visibility function is V = max(0, 1 − n_detector/n*): full interference when n_detector = 0, no interference when n_detector ≥ n*. We verify numerically that a photon from a quasar 10 Gly distant accumulates n ≈ 2.6 × 10⁶ CMB scatterings during propagation, while n* ≈ 82 for a 500 nm photon — confirming n << n* and wave state maintenance. The apparent retrocausality is a consequence of a misidentification: the question 'which path did the photon take during propagation?' presupposes a definite path during propagation, but in the load framework the photon was not in a path-definite state. There is no fact of the matter about the path during propagation. The detector choice at detection determines what question can meaningfully be asked — not what happened in the past. Keywords: delayed-choice experiment; Wheeler; retrocausality; information processing load; wave function collapse; quantum eraser; cosmic photon; weak measurement; n < n*; no consciousness required
The interpretations of the delayed-choice experiments suggest that photons "retroactively decide" to travel as particles or as wave from the time of its emission. To test the interpretations thoroughly, we propose and perform extended-delayed-choice experiments. The experiments are designed for easier to set up, carry out and reach meaningful results without ambiguous. The experimental results show the following: (A) the causality holds; (B) Bohr's complementarity principle is violated; (C) photons behave as particle before striking at output beam splitter/double-slit/crossdouble-slit; (D) the present does not determine the past retroactively, but determines the future.
The interpretations of the delayed-choice experiments suggest that photons i°retroactively decidei± to travel as particles or as waves from the time of its emission. To test the interpretations thoroughly, we propose and perform novel extended-delayed-choice experiments. The experiments are designed for easier to set up, carry out and reach meaningful results without ambiguity. The experimental results show the following: (A) The present does not decide the past retroactively, i.e., the causality holds; (B) Bohri¯s complementarity principle is challenged; (C) photons behave as particle before striking on a double-slit/cross-double-slit; (D) Particle nature is intrinsic.
This work presents a unified, interpretive account of quantum interference and delayed-choice experiments that applies equally to photons and massive particles. Rather than invoking spacetime trajectories, wave–particle duality, retrocausality, or collapse postulates, the paper locates quantum interference in the coherent evolution of internal, pre-geometric degrees of freedom defined over classical spacetime. Within this framework, “which-path” questions are not merely unanswered but fundamentally ill-posed: interference arises from global coherence of an internal field subject to experimental boundary conditions, while spacetime itself remains single-valued and classical at laboratory scales. The approach reproduces all standard quantum-mechanical predictions without modification and is explicitly interpretive rather than predictive. A central result is a unified explanation of why interference occurs across disparate physical systems—photons, electrons, atoms, and molecules—while decoherence manifests through system-dependent physical mechanisms. Photons and massive particles differ in how internal coherence is lost (e.g., electromagnetic absorption versus collisional and thermal interactions), but not in the underlying principle. Delayed-choice experiments are reinterpreted without paradox: changes to the apparatus modify boundary conditions for the internal field rather than retroactively altering particle histories. By removing spacetime paths from the fundamental ontology, the framework offers a consistent, path-free account of interference, decoherence, and localized detection that preserves the empirical success of quantum mechanics while clarifying its conceptual foundations.
Quantum mechanics explains famous optical experiments — delayed choice, quantum eraser, and double-slit interference — using wave function collapse, nonlocality, and observer effects, endowing photons with mysterious selectivity. This paper proves these experiments require no quantum-mechanical concepts. Light is always a continuous transverse wave — slits provide boundary conditions, detectors alter them, and changing boundary conditions modify wave propagation in space. So-called "collapse upon observation" is the irreversible energy exchange between waves and macroscopic detectors; so-called "path information destroying interference" is the inevitable consequence of wave decoherence. No particle "consciousness," no retrocausality, no wave function needed — only wave propagation and ordinary boundary conditions.
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.
It is well known that Wheeler proposed several delayed choice experiments in order to show the impossibility to speak of the way a quantum system behaves before being detected. In a double-slit experiment, when do photons decide to travel by one way or by two ways? Delayed choice experiments seem to indicate that, strangely, it is possible to change the decision of the photons until the very last moment before they are detected. This led Wheeler to his famous sentence: No elementary quantum phenomenon is a phenomenon until it is a registered phenomenon, brought to a close by an irreversible act of amplification. Nevertheless some authors wrote that backward in time effects were needed to explain these results. I will show that in delayed choice experiments involving only one particle, a simple explanation is possible without invoking any backward in time effect. Delayed choice experiments involving entangled particles such as the so called quantum eraser can also be explained without invoking any backward in time effect but I will argue that these experiments cannot be accounted for so simply because they rise the whole problem of knowing what a measurement and a collapse are. A previously presented interpretation, Convivial Solipsism, is a natural framework for giving a simple explanation of these delayed choice experiments with entangled particles. In this paper, I show how Convivial Solipsism helps clarifying the puzzling questions raised by the collapse of the wave function of entangled systems.