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Quantum Feed-Forward Diverter Loop

Roshankumar chandaliya

Published Aug 24, 2026• 0 citations
Publisher

Abstract

This scientific proposal outlines a unique thought experiment combining ultra-cold Rubidium atomic clouds in a negative time dwell state with quantum entanglement triggers. The framework utilizes a quantum feed-forward mechanism to route incoming photon light pulses onto an alternate path, effectively presenting a theoretical layout to bypass temporal grandfather paradoxes without inducing a system-wide wavefunction collapse. "Update (Version 2): Added Python (Qiskit) simulation script to verify quantum state routing logic." Implemented a 4-Case Marginal Probability Matrix simulation (Z-basis, X-basis, No-measurement, and Random-basis) to rigorously verify that the system strictly obeys the No-Signaling Theorem and preserves causality under feed-forward routing conditions. Update (Version 4): Integrated an advanced Time-Symmetric / Post-Selected Diverter Test framework. Successfully verified a 100% quantum state correlation conditioned on future measurement outcomes while strictly preserving the global No-Signaling theorem constraint. Version 5 Update — Temporal Wavepacket and Effective Negative Group-Delay Model This version extends the Quantum Feed-Forward Diverter Loop thought experiment by introducing a temporal wavepacket model for the photon and an effective frequency-domain transfer function representing positive and negative group delays. The photon is modeled as a Gaussian temporal wavepacket. Two alternative pathways are assigned effective delays, with Path-1 represented by a positive delay and Path-2 by an effective negative group delay. The resulting temporal wavepackets are numerically propagated and compared to visualize the corresponding temporal shifts. The quantum-routing component is then combined with an entangled A–B pair, photon–B interaction, and A-controlled quantum path diversion. The simulation evaluates both the unconditional photon-path distribution and the post-selected correlation between the earlier photon path and the later B measurement outcome. Using 20,000 simulated shots, the unconditional path probabilities were approximately: P(Path=0) = 0.5000P(Path=1) = 0.5000 Post-selection produced perfect conditional correlations in this circuit model: P(Path=0 | B=0) = 1.0000P(Path=1 | B=1) = 1.0000 These results demonstrate temporal-wavepacket shifting and strong conditional quantum correlation within the computational model. The effective negative group delay is used as a mathematical transfer-function parameter and is not interpreted as literal backward propagation of a photon or proof of retrocausality. This version is intended as a theoretical/computational extension of the proposed Quantum Feed-Forward Diverter Loop and does not constitute an experimental demonstration of negative time, retrocausal signalling, or violation of the quantum no-signalling principle. Version 6 Update — Coupled Temporal–Quantum Counterfactual Test This version extends the Quantum Feed-Forward Diverter Loop by coupling the temporal wavepacket framework with the quantum A–B diverter model and introducing an explicit future-measurement-choice test. The photon is represented as a temporal wavepacket, while the two quantum paths are associated with different effective transfer functions. Path-1 is assigned an effective negative group delay. The quantum model includes A–B entanglement, photon–B interaction, and A-controlled path diversion. The model tests whether changing the future measurement basis of particle B can alter the earlier photon-path marginal distribution without classical communication. Four future measurement conditions were compared: Z basis, X basis, Random basis, and No measurement. Using 20,000 simulated shots, the earlier-path probabilities were approximately: P(Earlier Path=0): Z basis = 0.4992 X basis = 0.4979 Random basis = 0.4979 No measurement = 0.5013 P(Earlier Path=1): Z basis = 0.5008 X basis = 0.5021 Random basis = 0.5021 No measurement = 0.4986 The results show that the earlier photon-path marginal remains approximately 50:50 across the different future measurement choices. No controllable change in the earlier marginal distribution was observed in this computational model. Conditional correlations between the photon path and the later B outcome remain present, demonstrating the distinction between quantum correlation and usable retrocausal signalling. This version therefore provides a counterfactual/no-signalling test of the proposed mechanism. It does not demonstrate literal backward time, retrocausal communication, or a violation of the quantum no-signalling principle. Important: The negative group delay remains an effective temporal transfer-function parameter and should not be interpreted as literal backward propagation of the photon. Version 7 A coupled computational model combining temporal wavepacket shifts with quantum path control and future-conditioned A–B correlations was implemented. The earlier-path marginal remained approximately 50:50 in the tested configuration, while perfect conditional Path–B correlations were observed. Version 8 Update — Future-Choice / Retrocausal Marginal Test This version extends the Quantum Feed-Forward Diverter Loop computational model by testing whether an independently selected future measurement basis of qubit B can statistically alter the earlier photon-path marginal distribution. The model retains the joint temporal-wavepacket and quantum-path framework introduced in Version 7, including: Path-0 coupled to a positive-delay temporal wavepacket. Path-1 coupled to an effective negative-delay temporal wavepacket. Quantum A–B correlations and photon–B interaction. Earlier photon-path measurement performed before the future B measurement. Independent variation of the future B measurement choice. Four future-choice conditions were compared: Z basis, X basis, no measurement, and random basis. For the principal Z-versus-X comparison, the simulated results were: P(Path=0 | future B=Z) = 0.498150 P(Path=0 | future B=X) = 0.499450 Difference = −0.001300 Z-score = −0.260001 Two-sided p-value = 0.794863 No statistically significant difference was detected between the earlier-path marginal distributions under the tested future measurement choices. The simulation therefore provides no evidence of controllable retrocausal signalling within this computational model. Conditional correlations between the earlier path and later B outcomes may still occur, but these correlations do not by themselves demonstrate that a future measurement choice can be used to control an earlier observable. Important limitation: the negative delay used in this model represents an effective mathematical temporal-transfer-function shift. It does not represent literal backward propagation of a photon in time. This Version 8 should therefore be interpreted as a computational test of the no-signalling/retrocausal hypothesis, not as an experimental demonstration of backward time propagation or retrocausal communication. Version 9 - Robustness Test Version 10- Coupled mathematical model Version 11 Coupled Temporal Path Quantum Model & Projective Future Measurement Test Version 13- Mathematical Model Showing no-signalling invariance under the tested future measurement channels Version 14/15 Computetionl test of the proposed retrocausal/causal hypothesis no controllable retrocausal signalling detected V16 Full Feed-Forward Mechanism PrototypeComputational prototype of the proposed B → A → Diverter → Photon Path mechanism, including path-dependent positive/negative effective temporal shifts and correlation analysis. V17 Quantum B–A–Diverter–Photon Path ModelBell-state quantum model connecting A–B entanglement, A-controlled photon diversion, Path correlations, and future B measurement, with a no-signalling test. V18 Future B Event: Conditional Correlation vs No-SignallingTests whether later B measurement outcomes correlate with the earlier Path while checking whether the unconditional earlier Path marginal remains unchanged. Version 19 — Explicit Causal Ordering:Introduced density-matrix tracking, trace-distance, and mutual-information tests. Results confirmed zero accessible information about future random measurement choices in earlier path records, supporting no-signalling and causal ordering within the computational model. Version 20 — Unified Quantum–Temporal Computational Model:Integrated Bell-state entanglement, controlled photon diversion, and path-dependent temporal wavepackets with effective positive/negative temporal shifts. The framework enables both future-conditioned correlations and non-selective analysis, while preserving the no-signalling constraint. Version 21 — Causality & No-Signalling Test This version computationally tests causal influence in the Quantum Feed-Forward Diverter Loop using entanglement, controlled photon diversion, temporal wavepackets, and effective negative time shifts. The results distinguish quantum correlation from controllable retrocausal signalling. The negative temporal shift remains a mathematical model, not literal backward time propagation. No physical retrocausality or violation of the No-Signalling Theorem is demonstrated. Version 22 Figure 1 — Path-dependent Temporal Wavepackets Shows two path-dependent temporal wavepackets with different effective temporal shifts. Path-0 is centered at zero, while Path-1 is shifted to an earlier effective time coordinate. Figure 2 — Conditional vs Non-selective Temporal Distribution Compares the temporal distributions conditioned on B=0/Path-0 and B=1/Path-1 with their non-selective average, illustrating conditional temporal correlations without implying physical backward-time propagation. Version 23 presents a computational no-signaling and causality test for the Quantum Feed-Forward Diverter Loop. The model compares unconditional B statistics and non-selective temporal distributions under

DOI
10.5281/zenodo.22079366

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quant-pharXiv:2609.19025•Jul 21, 2026•0 citations
This scientific proposal outlines a unique thought experiment combining ultra-cold Rubidium atomic clouds in a negative time dwell state with quantum entanglement triggers. The framework utilizes a quantum feed-forward mechanism to route incoming photon light pulses onto an alternate path, effectively presenting a theoretical layout to bypass temporal grandfather paradoxes without inducing a system-wide wavefunction collapse. "Update (Version 2): Added Python (Qiskit) simulation script to verify quantum state routing logic." Implemented a 4-Case Marginal Probability Matrix simulation (Z-basis, X-basis, No-measurement, and Random-basis) to rigorously verify that the system strictly obeys the No-Signaling Theorem and preserves causality under feed-forward routing conditions. Update (Version 4): Integrated an advanced Time-Symmetric / Post-Selected Diverter Test framework. Successfully verified a 100% quantum state correlation conditioned on future measurement outcomes while strictly preserving the global No-Signaling theorem constraint. Version 5 Update — Temporal Wavepacket and Effective Negative Group-Delay Model This version extends the Quantum Feed-Forward Diverter Loop thought experiment by introducing a temporal wavepacket model for the photon and an effective frequency-domain transfer function representing positive and negative group delays. The photon is modeled as a Gaussian temporal wavepacket. Two alternative pathways are assigned effective delays, with Path-1 represented by a positive delay and Path-2 by an effective negative group delay. The resulting temporal wavepackets are numerically propagated and compared to visualize the corresponding temporal shifts. The quantum-routing component is then combined with an entangled A–B pair, photon–B interaction, and A-controlled quantum path diversion. The simulation evaluates both the unconditional photon-path distribution and the post-selected correlation between the earlier photon path and the later B measurement outcome. Using 20,000 simulated shots, the unconditional path probabilities were approximately: P(Path=0) = 0.5000P(Path=1) = 0.5000 Post-selection produced perfect conditional correlations in this circuit model: P(Path=0 | B=0) = 1.0000P(Path=1 | B=1) = 1.0000 These results demonstrate temporal-wavepacket shifting and strong conditional quantum correlation within the computational model. The effective negative group delay is used as a mathematical transfer-function parameter and is not interpreted as literal backward propagation of a photon or proof of retrocausality. This version is intended as a theoretical/computational extension of the proposed Quantum Feed-Forward Diverter Loop and does not constitute an experimental demonstration of negative time, retrocausal signalling, or violation of the quantum no-signalling principle. Version 6 Update — Coupled Temporal–Quantum Counterfactual Test This version extends the Quantum Feed-Forward Diverter Loop by coupling the temporal wavepacket framework with the quantum A–B diverter model and introducing an explicit future-measurement-choice test. The photon is represented as a temporal wavepacket, while the two quantum paths are associated with different effective transfer functions. Path-1 is assigned an effective negative group delay. The quantum model includes A–B entanglement, photon–B interaction, and A-controlled path diversion. The model tests whether changing the future measurement basis of particle B can alter the earlier photon-path marginal distribution without classical communication. Four future measurement conditions were compared: Z basis, X basis, Random basis, and No measurement. Using 20,000 simulated shots, the earlier-path probabilities were approximately: P(Earlier Path=0): Z basis = 0.4992 X basis = 0.4979 Random basis = 0.4979 No measurement = 0.5013 P(Earlier Path=1): Z basis = 0.5008 X basis = 0.5021 Random basis = 0.5021 No measurement = 0.4986 The results show that the earlier photon-path marginal remains approximately 50:50 across the different future measurement choices. No controllable change in the earlier marginal distribution was observed in this computational model. Conditional correlations between the photon path and the later B outcome remain present, demonstrating the distinction between quantum correlation and usable retrocausal signalling. This version therefore provides a counterfactual/no-signalling test of the proposed mechanism. It does not demonstrate literal backward time, retrocausal communication, or a violation of the quantum no-signalling principle. Important: The negative group delay remains an effective temporal transfer-function parameter and should not be interpreted as literal backward propagation of the photon. Version 7 A coupled computational model combining temporal wavepacket shifts with quantum path control and future-conditioned A–B correlations was implemented. The earlier-path marginal remained approximately 50:50 in the tested configuration, while perfect conditional Path–B correlations were observed. Version 8 Update — Future-Choice / Retrocausal Marginal Test This version extends the Quantum Feed-Forward Diverter Loop computational model by testing whether an independently selected future measurement basis of qubit B can statistically alter the earlier photon-path marginal distribution. The model retains the joint temporal-wavepacket and quantum-path framework introduced in Version 7, including: Path-0 coupled to a positive-delay temporal wavepacket. Path-1 coupled to an effective negative-delay temporal wavepacket. Quantum A–B correlations and photon–B interaction. Earlier photon-path measurement performed before the future B measurement. Independent variation of the future B measurement choice. Four future-choice conditions were compared: Z basis, X basis, no measurement, and random basis. For the principal Z-versus-X comparison, the simulated results were: P(Path=0 | future B=Z) = 0.498150 P(Path=0 | future B=X) = 0.499450 Difference = −0.001300 Z-score = −0.260001 Two-sided p-value = 0.794863 No statistically significant difference was detected between the earlier-path marginal distributions under the tested future measurement choices. The simulation therefore provides no evidence of controllable retrocausal signalling within this computational model. Conditional correlations between the earlier path and later B outcomes may still occur, but these correlations do not by themselves demonstrate that a future measurement choice can be used to control an earlier observable. Important limitation: the negative delay used in this model represents an effective mathematical temporal-transfer-function shift. It does not represent literal backward propagation of a photon in time. This Version 8 should therefore be interpreted as a computational test of the no-signalling/retrocausal hypothesis, not as an experimental demonstration of backward time propagation or retrocausal communication. Version 9 - Robustness Test Version 10- Coupled mathematical model Version 11 Coupled Temporal Path Quantum Model & Projective Future Measurement Test Version 13- Mathematical Model Showing no-signalling invariance under the tested future measurement channels Version 14/15 Computetionl test of the proposed retrocausal/causal hypothesis no controllable retrocausal signalling detected V16 Full Feed-Forward Mechanism PrototypeComputational prototype of the proposed B → A → Diverter → Photon Path mechanism, including path-dependent positive/negative effective temporal shifts and correlation analysis. V17 Quantum B–A–Diverter–Photon Path ModelBell-state quantum model connecting A–B entanglement, A-controlled photon diversion, Path correlations, and future B measurement, with a no-signalling test. V18 Future B Event: Conditional Correlation vs No-SignallingTests whether later B measurement outcomes correlate with the earlier Path while checking whether the unconditional earlier Path marginal remains unchanged. Version 19 — Explicit Causal Ordering:Introduced density-matrix tracking, trace-distance, and mutual-information tests. Results confirmed zero accessible information about future random measurement choices in earlier path records, supporting no-signalling and causal ordering within the computational model. Version 20 — Unified Quantum–Temporal Computational Model:Integrated Bell-state entanglement, controlled photon diversion, and path-dependent temporal wavepackets with effective positive/negative temporal shifts. The framework enables both future-conditioned correlations and non-selective analysis, while preserving the no-signalling constraint. Version 21 — Causality & No-Signalling Test This version computationally tests causal influence in the Quantum Feed-Forward Diverter Loop using entanglement, controlled photon diversion, temporal wavepackets, and effective negative time shifts. The results distinguish quantum correlation from controllable retrocausal signalling. The negative temporal shift remains a mathematical model, not literal backward time propagation. No physical retrocausality or violation of the No-Signalling Theorem is demonstrated. Version 22 Figure 1 — Path-dependent Temporal Wavepackets Shows two path-dependent temporal wavepackets with different effective temporal shifts. Path-0 is centered at zero, while Path-1 is shifted to an earlier effective time coordinate. Figure 2 — Conditional vs Non-selective Temporal Distribution Compares the temporal distributions conditioned on B=0/Path-0 and B=1/Path-1 with their non-selective average, illustrating conditional temporal correlations without implying physical backward-time propagation. Version 23 presents a computational no-signaling and causality test for the Quantum Feed-Forward Diverter Loop. The model compares unconditional B statistics and non-selective temporal distributions under
Entanglement swapping between photons that never coexist in laboratory time provides a clean test of the temporal ordering of quantum measurements without invoking retrocausal signaling. We review the 2013 Physical Review Letters experiment by Megidish et al., correcting several common secondary-source simplifications: the temporal separation was implemented with a 31.6 m free-space delay line (105 ns), the final state of photons 1 and 4 was characterized by quantum-state tomography, and the reported result was a conditional entangled state with approximately 77% fidelity to the target Bell state rather than a standalone Bell-inequality test. We then integrate this experimental basis with a DQ-12 interpretation in which photonic excitations are modeled phenomenologically as phase modes of a higher-dimensional continuous state substrate. Within that interpretation, detection is treated as a local relaxation map, while the Bell-state projection on the intermediate photons is represented as a conditional phasebridging operation. Crucially, the standard quantum-mechanical account is sufficient for the observed experiment; DQ-12 is therefore presented not as a confirmed explanation but as an additional ontology that acquires scientific content only through differential, falsifiable predictions. We propose residual observables, delay-dependent tests, matched controls, and a null hypothesis that reduce the DQ-12 claim to an experimentally decidable extension.Keywords: entanglement swapping; temporal entanglement; Bell-state measurement; quantum-state tomography; timelike separation; DQ-12; phase connectivity; emergent time; quantum foundations.
This work presents a comprehensive exploration of anticipatory quantum phenomena and their formalization in topological phase dynamics. Building upon the foundational Quantum Anticipatory Reflection Paradox, we introduce the Topological Phase Signalling Theorem as a rigorous mathematical idea that encapsulates and generalizes the experimental insights of the original thought experiment. The Quantum Anticipatory Reflection Paradox demonstrates, in principle, that a moving mirror can encode future-correlated information in a quantum superposition. By measuring the reflected state in a stationary laboratory frame, an observer can access information about events that have not yet classically occurred. The experiment highlights how anticipated quantum information may guide or influence future outcomes while remaining consistent with relativistic invariance. Proposed laboratory implementations, including Sagnac interferometers and recirculating fiber loops (RSFL), offer concrete paths to realize these effects in controlled environments. The Topological Phase Signalling Theorem formalizes these insights, providing a general proof that local quantum operations combined with coherent phase control can modify the correlations of events traditionally considered “future” in a classical sense. This theorem abstracts the RSFL experimental setup, demonstrating that anticipatory signalling is not merely a peculiar feature of a specific apparatus but a general property emerging from topological phase coherence in quantum systems. It establishes the conditions under which future-correlated information can be accessed and utilized to select among multiple potential worldlines, uniting experimental observation and theoretical formalism. Together, the paradox and theorem illustrate a compelling intersection of quantum nonlocality, relativistic causality, and topological phase dynamics. By combining thought experiments, experimental proposals, and rigorous theorems, this work provides a unified framework for studying and potentially steering future events in quantum systems, opening a novel avenue for both theoretical inquiry and experimental validation. This manuscript is current in Official Peer Review. Not final version.Copyright©2026 Alex De Giuseppe.All rights reserved. This work is protected by copyright. Any form of plagiarism, unauthorized reproduction, or misappropriation of ideas, mathematically results, or text without proper citation constitutes a violation of academic and intellectual property standards and common laws. No commercial use, adaptation, or derivative works are permitted without explicit written permission from the author. For correspondence, citations, collaboration inquiries, or feedback please contact:degiuseppealex@gmail.com The hash files that determine ownership have been created
The "time traveler party" experiment conducted by Stephen Hawking in 2009 yielded a negative result. The primary reasons for this outcome were the lack of a spacetime addressing matrix and the uncontrolled presence of a macroscopic observer, which caused the immediate collapse of potential quantum superpositions. This paper presents a radical advancement of Hawking's approach. By synthesizing macroscopic quantum isolation within a geographical zero-interaction zone, a serial 365-day experimental matrix, a physical buffer airlock governed by a temporal cryptographic key, and strict informational epistemiophobia (the prevention of worldline interference through binary data reduction), a logically consistent and paradox-free experimental setup is defined. The objective is to mathematically maximize the probability of a temporal causal feedback loop while establishing an economically viable, generation-spanning framework. This document was developed using artificial intelligence (AI) as a collaborative sparring partner. The AI was utilized for structural analysis, identifying theoretical consistency gaps, refining the formulation of the mathematical-physical model, and executing the full English translation. The conceptual and thematic authorship remains entirely with the author.
Overview This work presents a practical framework for testing whether an already recorded earlier binary outcome can show a genuine dependence on a newly generated later intervention. The main aim is to separate a potentially meaningful fresh-later effect from ordinary explanations such as postselection, setting-dependent loss, readout effects, hidden-variable ambiguity, incomplete trial inclusion, feedback, or other conventional causal paths. Main Contributions The paper develops and combines: a baseline-independent binary interaction measure based on the quarter-log odds ratio; an exact complete-nonselection benchmark showing that, under definite causal order and a later trace-preserving operation, an already finalized earlier marginal remains unchanged; an exact decomposition of observed interaction into true interaction and selection-induced interaction; a constructive demonstration that postselection can reproduce any strictly positive binary conditional table; a latent-selector model showing why a marginal interaction alone does not uniquely identify an underlying mechanism; independent-calibration methods that can turn an ambiguous fit into a testable forward prediction; sharp symmetric and asymmetric bounds for selection effects; systematic-aware effect-size and sample-size planning rules; and an eleven-gate eligibility framework covering chronology, fresh later choice, complete inclusion, readout stability, nonselection, conventional-path exclusion, inference, contamination control, and replication. Scientific Scope This paper provides a framework for decisive testing, not a claim that a nonstandard fresh-later physical effect has already been observed. Existing experiments are used as design and methodology benchmarks. The mathematical results do not by themselves establish retrocausality, future-to-past signalling, a universal physical law, or a unique microscopic mechanism. Reproducibility The work is supported by QDL Research Suite. All software versions are represented by the Zenodo Concept DOI: 10.5281/zenodo.22952901 Paper 8 was specifically validated using QDL Research Suite v1.7.0, permanently archived at: 10.5281/zenodo.23112372 Included Files Main manuscript PDF Supporting Information PDF SHA256 checksum file for integrity verification Paper 8 DOI: 10.5281/zenodo.23114300
A Reproducible Method for Checking Earlier Events and Later Choices in Quantum Experiments QDL Research Program — Paper 11 | Version V1.0.0 DOI: https://doi.org/10.5281/zenodo.23261100 Overview Quantum experiments can produce surprising results. Sometimes, an event is recorded first, and a measurement choice is made later. If these two events appear connected, an important question arises: Is this connection supported by the experimental data, or could it be explained by statistical variation, event selection, or measurement conditions? This paper presents a clear and reproducible method for investigating that question. It combines real experimental data, exact statistical calculations, source verification, and computer-based testing. The main goal is simple: make quantum-data calculations easier to understand, repeat, and independently check. What Does This Paper Study? The study examines how researchers can correctly compare an earlier recorded event with a later measurement setting. It focuses on five important questions: Were the earlier events and later settings correctly identified? Were all eligible events included using the original experimental rules? Do the observed numbers show a meaningful statistical relationship? Could selection effects, detection differences, or data-matching errors explain the result? Can another researcher reproduce the same calculations using the available sources? The paper provides mathematical formulas, numerical examples, source checks, and reproducible software for these questions. Three Main Research Applications 1. Munich Event-Ready Bell Experiment The first application studies data from a published quantum Bell experiment involving entangled atoms. The published dataset contains 55,568 events. We independently recalculated four-sector statistics from the published count tables. The main results are: Measurement Odds Ratio Fisher p-value Lab 1 0.997122 0.8653 Lab 2 0.980578 0.2486 These results do not provide stable evidence of an association between the selected variables in the full published counts. We also analyzed original event-level records from two experimental runs in April and June 2016. These files contain 20,403 valid paired events. By applying the original selection rule of 5,000 events per Bell-state class, we exactly reproduced the historical results. All 16 published sector counts matched, with zero differences. This demonstrates why correct event selection and source verification are important for reliable scientific calculations. 2. Photonic Quantum-Switch Experiment The second application examines published data from a 2026 photonic quantum-switch experiment. The original study reported a Bell-like causal-inequality value of approximately 1.8090 ± 0.0024, compared with a fixed-order bound of 1.75. We independently recalculated the relevant quantity using 256 published probability entries. Our calculated value was: 1.808954375 This agrees with the reported result at its published precision. We also examined six statistical comparisons involving measurement settings and marginal probabilities. These checks help distinguish an experimental causal-inequality result from a possible statistical relationship between an earlier event and a later setting. The two questions are different and should not be confused. 3. Testing the Method with 80,000 Synthetic Trials The third application uses 80,000 computer-generated trials, divided into four controlled scenarios. The scenarios represent: A system with no inserted effect. A system with a deliberately inserted statistical difference. A system affected by detection-efficiency differences. A system with information leakage before the earlier result was fully recorded. The software reproduced the expected numerical results for all four scenarios. These tests show how the method can identify known statistical patterns and distinguish them from possible experimental artifacts. The synthetic trials are software-validation data, not new laboratory observations. Main Contributions This paper brings together several important elements in one reproducible research workflow. 1. Clear event identification It defines which event happened earlier, which setting was chosen later, and how the records should be matched. 2. Exact statistical calculations It uses four-sector count tables, odds ratios, log-affinity measures, uncertainty estimates, and Fisher's exact tests. 3. Original-data verification It demonstrates how the correct historical event-selection rule can reproduce published results exactly. 4. Independent source comparisons It uses different quantum datasets without incorrectly treating their measurements as equivalent. 5. Reproducible software It provides a computational framework for repeating the calculations, checking results, and recording source limitations. Why Is This Work Useful? Scientific results become more valuable when other researchers can independently verify them. This paper offers a practical way to investigate complex quantum-data questions without depending only on interpretations or assumptions. The method can help researchers: Recheck published quantum experiments. Find problems caused by event selection or data matching. Compare statistical results across experimental runs. Separate real experimental measurements from simulated examples. Design more reliable tests for future quantum experiments. Understand which conclusions are supported by the available evidence. Scientific Scope This work is primarily about statistical verification, experimental-data interpretation, and reproducibility. It does not establish backwards-time signalling or a new fundamental physical law. The Munich published-count analysis and the two recovered original runs have different levels of source access. The quantum-switch experiment measures a different physical quantity. The synthetic trials are used only to test the software. These distinctions are maintained throughout the study. Data and Software Availability The calculations are supported by QDL Research Suite, a Python-based scientific software package containing tools for reproducible mathematical and statistical analysis. QDL Research Suite — All Versions: https://doi.org/10.5281/zenodo.22952901 QDL Research Suite v1.10.0 — Version Used: https://doi.org/10.5281/zenodo.23256494 The software provides calculation modules, reproducibility tools, automated tests, and verification outputs. The study also identifies the original experimental publications and available source datasets so that the calculations can be checked against their sources. Conclusion The central contribution of Paper 11 is a clear, source-linked method for checking quantum experimental data. It combines published experimental results, original event records, exact statistical methods, and controlled software tests. The work shows how careful data selection, transparent calculations, and independent verification can improve confidence in scientific analysis. Its purpose is to help make complex quantum research more understandable, reproducible, and reliable, while keeping mathematical results, experimental evidence, and physical interpretations clearly separated. Author: Roshankumar Chandaliya Research Program: Quantum Diverter Loop (QDL) Paper: 11 Version: V1.0.0 DOI: https://doi.org/10.5281/zenodo.23261100
Wheeler's delayed-choice experiments and the time-symmetric formalisms of quantum measurement have long fueled a debate over whether time symmetry in quantum theory entails retrocausality. We argue that the debate conflates two distinct structures, and that the framework for separating them is the classical theory of conditioning: Doob hhh-transforms, Markov bridges, and enlargement of filtrations on the probabilistic side, and the forward-state/backward-effect (two-state-vector) formalism of pre- and post-selected systems on the quantum side. We sharpen Wheeler's participatory universe, delayed choice, and ``It from Bit'' into three theses and build a correspondence dictionary that maps each to a precise statement in one or both formalisms. The dictionary is anchored by two structurally isomorphic results: an operational proposition that a future measurement choice sorts the past ensemble into subensembles without disturbing any earlier marginal, and its classical counterpart, the disintegration of an unconditioned law into future-conditioned bridges -- both a single fact: marginalizing over the final measurement leaves earlier marginals fixed, by completeness of the POVM together with trace preservation on the quantum side and by the tower property of conditional expectation on the classical. The conditional calculus is time-symmetric; its causal structure is not. Delayed choice is thereby a selection effect rather than retrocausation, and the apparent ``pull from the future'' is a bridge drift. We state explicitly what the framework does not do -- it neither derives the Born rule nor solves the measurement problem -- and delineate the legitimate scope of participatory language in quantum mechanics.