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Paper 8 - Fresh-Later Complete-Nonselection Tests: Exact Causal Benchmarks, Identifiability, Selection Robustness, and Decisive Testing

Roshankumar chandaliya

Published Oct 3, 2026• 0 citations
Publisher

Abstract

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

DOI
10.5281/zenodo.23114299

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Paper -11 - A Reproducible Method for Checking Earlier Events and Later Choices in Quantum Experiments

Roshankumar chandaliya

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

•Oct 9, 2026•0 citations

Paper 9 - Exact General-d Affinity Reversal and Contrast-Space Invariants

Roshankumar chandaliya

Paper 9 - Exact General-d Affinity Reversal and Contrast-Space Invariants introduces a compact mathematical framework for understanding a simple but important question: When an interaction is reversed, what changes, what stays the same, and how can that be measured exactly? The paper extends binary affinity to general \(d\)-state systems, derives an exact reversal law, and introduces the transformed coordinate \(\Xi_d\), for which reversal becomes especially simple: \[ \Xi_R=-\Xi_F. \] It also identifies reversal-stable quantities and extends the analysis from a single scalar to the full interaction matrix \[ \Theta=H^T\ln(Z)H, \] allowing richer multi-state structure to be studied through singular values, rank, interaction strength, determinant magnitude, and effective participation. Exact_General_d_Affinity_Revers… Exact_General_d_Affinity_Revers… Why it is useful: the framework can help researchers compare forward and reversed interaction descriptions, study systems with more than two states, test whether a single summary is sufficient, and identify stable geometric features in complex interaction data. The paper includes qutrit, qubit, and many-body validation examples to demonstrate how the method can be used in practice. Exact_General_d_Affinity_Revers… Connected QDL Research This work is part of the broader Quantum Diverter Loop (QDL) research program. Earlier QDL papers develop complementary tools for exact permutation analysis, exact counting and tail probabilities, model identifiability, higher-order interactions, cumulant response, multimode affinity geometry, causal testing, and binary affinity analysis. The methods from Papers 1–9, together with compatibility support for Papers 17–19, are organized in the reproducible QDL Research Suite v1.8.0, making the calculations easier to repeat, test, compare, and independently verify. QDL Research Suite v1.8.0:DOI: 10.5281/zenodo.23161137 All QDL Research Suite versions:DOI: 10.5281/zenodo.22952901 In simple terms, this paper adds a new multi-state reversal layer to a growing QDL toolkit for exact mathematics, reproducible computation, interaction analysis, and independent verification.

•Oct 6, 2026•0 citations

Exact Total-Variation Projection onto the Single-Interface NBTS Class

Undisclosed Researcher

This preprint studies the identification problem for a complete finite temporal interface comprising an earlier event, a later intervention, a complete declared earlier transcript, and all remaining declared outcomes, with chronology and transcript immutability supplied by a separate physical passport. It compares the complete all-trial intervention law with a deliberately broad forward-completion class allowing arbitrary finite hidden memory, common causes, stochasticity, and command-dependent later processing, constrained only by independence of the mechanism producing the earlier transcript from the later command. The principal result is an exact, attained max-command total-variation projection onto this broad forward class. The complete-table distance reduces to the minimax total-variation radius of the command-indexed earlier marginals, and every minimizing center lifts to an optimal forward-completable table that preserves the observed later conditional distributions on positive rows. Supporting results characterize the response-kernel completion fiber through finite barycentric measures and use a spectator-extended OCB construction to illustrate the separation between no-backwards-in-time-signaling compatibility and definite causal order. The paper also delineates the independent evidence required before table-level incompatibility can support a physical backward-signaling interpretation, including verified chronology, immutable record commitment, intervention exogeneity, all-trial retention, ancillary and memory closure, ordinary-route closure, and finite-sample robustness. Status: Preprint; not peer reviewed.

•Aug 6, 2026•0 citations

From Ontology to Experiment in Quantum Foundations: Separating causality, determinism, and predictability, with a closure-based test for collapse dynamics

Mehdi Zadehnour

This record contains version 2 of the preprint “Identifiability Limits in Experimental Tests of Quantum Collapse.” It supersedes the conceptually broader first version deposited under DOI 10.5281/zenodo.19617199 and substantially revises the framing, formal results and experimental analysis. The paper formulates experimental tests of objective-collapse dynamics as an operational identifiability problem. It shows that finite accessible CPTP process statistics cannot uniformly distinguish fundamental nonunitarity from an unrestricted unitary-environment dilation. It then separates visibility loss, record formation and global measurement access, and derives a nuisance-profiled Fisher-information criterion for determining when complementary measurement channels jointly identify a shared collapse-parameter vector. A four-arm matched-control architecture is proposed that combines baseline stability, coherent reversibility, calibrated decoherence, durable-record formation and at least one independent side-effect channel. The result is a falsifiable experimental decision framework and a boundary on what accessible data can establish; it is not presented as an ontological solution of the quantum measurement problem. A major technical revision is available as version 3 under DOI 10.5281/zenodo.22072199. This record contains version 2 of the preprint “Identifiability Limits in Experimental Tests of Quantum Collapse.” It supersedes the conceptually broader first version deposited under DOI 10.5281/zenodo.19617199 and substantially revises the framing, formal results and experimental analysis. The paper formulates experimental tests of objective-collapse dynamics as an operational identifiability problem. It shows that finite accessible CPTP process statistics cannot uniformly distinguish fundamental nonunitarity from an unrestricted unitary-environment dilation. It then separates visibility loss, record formation and global measurement access, and derives a nuisance-profiled Fisher-information criterion for determining when complementary measurement channels jointly identify a shared collapse-parameter vector. A four-arm matched-control architecture is proposed that combines baseline stability, coherent reversibility, calibrated decoherence, durable-record formation and at least one independent side-effect channel. The result is a falsifiable experimental decision framework and a boundary on what accessible data can establish; it is not presented as an ontological solution of the quantum measurement problem. Files in this record:1. Main preprint PDF.2. Reproducibility package containing the journal-neutral source, editable manuscript, original figures, deterministic calculation and figure-generation code, machine-readable results, citation metadata and SHA-256 checksums. The included calculations are deterministic mathematical and synthetic checks; they are not experimental validation.

•Apr 17, 2026•0 citations

QTT Physical Contact Selection and Predictive Transfer Theorem

Attar Ali

From independently qualified work to one interaction and several observations \[\boxed{L\ker B=\{0\}.}\] When does a device's independently specified work already determine its interaction? In a finite affine constructor, the answer is exact: every unresolved calibration direction must disappear from the observable interaction. The paper proves necessity and sufficiency, constructs a dual certificate, and counts the additional linear probes needed when selection fails. The QTT source-to-contact construction connects geometry, supported work, mode participation and the actual electrode waveform to a single coupling. That same coupling predicts one-excitation transfer, two-excitation redistribution, phase response and parity controls. A finite future-memory theorem identifies what must remain in the retained packet so that later operations cannot reveal something the model discarded. For independently specified insertion magnitudes, the cross-occupation prediction is \[P_{11}=\cos^2(F\Theta),\qquad F^2=f_{2,a}^2+f_{2,b}^2.\] For symmetric-slot modes, the corresponding frequency ratio obeys \[\boxed{\left(\frac{\Omega_2}{2\Omega_1}\right)^2=1-\frac{1}{2K_a}-\frac{1}{2K_b}.}\] Version 2.0 adds complete feasible-set selection, a harmonic three-dimensional drive, unequal-capacity transfer, and the full preparation-to-detector calculation. A cross-Kerr counterexample shows why a perfect one-excitation calibration alone cannot settle the two-excitation prediction. The package contains the manuscript, proofs, executable checks, synthetic examples and a reproducible audit of the public Hou trapped-ion tables. The selection and transfer results are proved within their stated finite classes. The canonical realization shares laboratory probabilities with matched microscopic quantum mechanics; finite-slot discrimination requires independently qualified physical capacities and instruments. The archive is a retrospective eligibility audit. The separate prospective test commits the measurement design before a laboratory supplies its physical capsule. Companion: Artian's Physical Contact Transfer Test. Source dependencies: Completed-Event Transport and Quantum Coherence; QTT Main Book. Independent experimental context: Hou et al., Nature Physics (2024). Browse the corpus. The main PDF is the preview; the ZIP contains the full reconstruction package.

•Sep 26, 2026•6 citations

Completed-Event Transport: A Reproducible Record-Deletion Benchmark on Trapped-Ion Data

Attar Ali

Testing how retained measurement records determine prediction performance \[\boxed{p(y,r\mid C)=\frac12\langle y|E_r(C)|y\rangle,\qquad \mathcal R_S-\mathcal R_R=\mathbb E[(q_R-q_S)^2]\ge0.}\] How much predictive information survives when earlier detector records are hidden? This two-platform empirical paper connects qualified completed-event transport to explicit joint probabilities, fixed information-deletion rules and measured prediction performance. In the superconducting recurrence archive, retaining four earlier measurements raises fifth-outcome prediction accuracy from 73.2183% to 82.2774%, across all 495 settings and 19.8 million archived trials. The gain over the latest reading alone is 2.4895 percentage points. No outcome probabilities, noise rates, gate angles or contrast normalizations are fitted. All seven record selections, unsupported histories and adverse settings are retained, and confidence calibration is evaluated separately from accuracy. The complete trapped-ion benchmark is preserved: 32,000 tree records from 6,400 hardware shots, five strengths, seven masks and 30 nested comparisons. Its primary calibration p=0.0862 and complementary p=0.0189 are both reported. The two experiments' sampling units and uncertainties are not pooled. The paper is written for scientists new to Quantum Traction Theory. A boxed fourth-face energy-capacity identity explains the proposed source picture; the additional transport, composition and sampling premises needed to construct detector predictions are stated. The archives test the resulting record instruments, not the factor 4 pi or a fundamental length directly. The displayed joint law describes the ion preparation-inference task; a sequential branch law handles recurrence, with the same prediction-loss identity. The matched ordinary quantum instruments have identical probabilities and the same zero outcome-fit burden. These are retrospective, reproducible source-to-record benchmarks, not a claim of experimental separation. A calibration-first follow-up specifies how an independently source-selected apparatus input could add predictive content. The reconstruction ZIP includes editable source, all derived probabilities and scores, checksum-pinned data acquisition, independent score checks and a complete two-platform replay. The PDF is the primary reading copy. Experimental archives: Feng and colleagues and Liu, Tornow, Kessler and Barkai. Source dependencies: Completed-Event Transport, Completed-Event Four-Capacity and Physical Contact Selection. Corpus navigation: DOI Map.

•Sep 25, 2026•0 citations
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
Paper 9 - Exact General-d Affinity Reversal and Contrast-Space Invariants introduces a compact mathematical framework for understanding a simple but important question: When an interaction is reversed, what changes, what stays the same, and how can that be measured exactly? The paper extends binary affinity to general ddd-state systems, derives an exact reversal law, and introduces the transformed coordinate Ξd\Xi_dΞd​, for which reversal becomes especially simple: ΞR=−ΞF. \Xi_R=-\Xi_F. ΞR​=−ΞF​. It also identifies reversal-stable quantities and extends the analysis from a single scalar to the full interaction matrix Θ=HTln⁡(Z)H, \Theta=H^T\ln(Z)H, Θ=HTln(Z)H, allowing richer multi-state structure to be studied through singular values, rank, interaction strength, determinant magnitude, and effective participation. Exact_General_d_Affinity_Revers… Exact_General_d_Affinity_Revers… Why it is useful: the framework can help researchers compare forward and reversed interaction descriptions, study systems with more than two states, test whether a single summary is sufficient, and identify stable geometric features in complex interaction data. The paper includes qutrit, qubit, and many-body validation examples to demonstrate how the method can be used in practice. Exact_General_d_Affinity_Revers… Connected QDL Research This work is part of the broader Quantum Diverter Loop (QDL) research program. Earlier QDL papers develop complementary tools for exact permutation analysis, exact counting and tail probabilities, model identifiability, higher-order interactions, cumulant response, multimode affinity geometry, causal testing, and binary affinity analysis. The methods from Papers 1–9, together with compatibility support for Papers 17–19, are organized in the reproducible QDL Research Suite v1.8.0, making the calculations easier to repeat, test, compare, and independently verify. QDL Research Suite v1.8.0:DOI: 10.5281/zenodo.23161137 All QDL Research Suite versions:DOI: 10.5281/zenodo.22952901 In simple terms, this paper adds a new multi-state reversal layer to a growing QDL toolkit for exact mathematics, reproducible computation, interaction analysis, and independent verification.
This preprint studies the identification problem for a complete finite temporal interface comprising an earlier event, a later intervention, a complete declared earlier transcript, and all remaining declared outcomes, with chronology and transcript immutability supplied by a separate physical passport. It compares the complete all-trial intervention law with a deliberately broad forward-completion class allowing arbitrary finite hidden memory, common causes, stochasticity, and command-dependent later processing, constrained only by independence of the mechanism producing the earlier transcript from the later command. The principal result is an exact, attained max-command total-variation projection onto this broad forward class. The complete-table distance reduces to the minimax total-variation radius of the command-indexed earlier marginals, and every minimizing center lifts to an optimal forward-completable table that preserves the observed later conditional distributions on positive rows. Supporting results characterize the response-kernel completion fiber through finite barycentric measures and use a spectator-extended OCB construction to illustrate the separation between no-backwards-in-time-signaling compatibility and definite causal order. The paper also delineates the independent evidence required before table-level incompatibility can support a physical backward-signaling interpretation, including verified chronology, immutable record commitment, intervention exogeneity, all-trial retention, ancillary and memory closure, ordinary-route closure, and finite-sample robustness. Status: Preprint; not peer reviewed.
This record contains version 2 of the preprint “Identifiability Limits in Experimental Tests of Quantum Collapse.” It supersedes the conceptually broader first version deposited under DOI 10.5281/zenodo.19617199 and substantially revises the framing, formal results and experimental analysis. The paper formulates experimental tests of objective-collapse dynamics as an operational identifiability problem. It shows that finite accessible CPTP process statistics cannot uniformly distinguish fundamental nonunitarity from an unrestricted unitary-environment dilation. It then separates visibility loss, record formation and global measurement access, and derives a nuisance-profiled Fisher-information criterion for determining when complementary measurement channels jointly identify a shared collapse-parameter vector. A four-arm matched-control architecture is proposed that combines baseline stability, coherent reversibility, calibrated decoherence, durable-record formation and at least one independent side-effect channel. The result is a falsifiable experimental decision framework and a boundary on what accessible data can establish; it is not presented as an ontological solution of the quantum measurement problem. A major technical revision is available as version 3 under DOI 10.5281/zenodo.22072199. This record contains version 2 of the preprint “Identifiability Limits in Experimental Tests of Quantum Collapse.” It supersedes the conceptually broader first version deposited under DOI 10.5281/zenodo.19617199 and substantially revises the framing, formal results and experimental analysis. The paper formulates experimental tests of objective-collapse dynamics as an operational identifiability problem. It shows that finite accessible CPTP process statistics cannot uniformly distinguish fundamental nonunitarity from an unrestricted unitary-environment dilation. It then separates visibility loss, record formation and global measurement access, and derives a nuisance-profiled Fisher-information criterion for determining when complementary measurement channels jointly identify a shared collapse-parameter vector. A four-arm matched-control architecture is proposed that combines baseline stability, coherent reversibility, calibrated decoherence, durable-record formation and at least one independent side-effect channel. The result is a falsifiable experimental decision framework and a boundary on what accessible data can establish; it is not presented as an ontological solution of the quantum measurement problem. Files in this record:1. Main preprint PDF.2. Reproducibility package containing the journal-neutral source, editable manuscript, original figures, deterministic calculation and figure-generation code, machine-readable results, citation metadata and SHA-256 checksums. The included calculations are deterministic mathematical and synthetic checks; they are not experimental validation.
From independently qualified work to one interaction and several observations Lker⁡B={0}.\boxed{L\ker B=\{0\}.}LkerB={0}.​ When does a device's independently specified work already determine its interaction? In a finite affine constructor, the answer is exact: every unresolved calibration direction must disappear from the observable interaction. The paper proves necessity and sufficiency, constructs a dual certificate, and counts the additional linear probes needed when selection fails. The QTT source-to-contact construction connects geometry, supported work, mode participation and the actual electrode waveform to a single coupling. That same coupling predicts one-excitation transfer, two-excitation redistribution, phase response and parity controls. A finite future-memory theorem identifies what must remain in the retained packet so that later operations cannot reveal something the model discarded. For independently specified insertion magnitudes, the cross-occupation prediction is P11=cos⁡2(FΘ),F2=f2,a2+f2,b2.P_{11}=\cos^2(F\Theta),\qquad F^2=f_{2,a}^2+f_{2,b}^2.P11​=cos2(FΘ),F2=f2,a2​+f2,b2​. For symmetric-slot modes, the corresponding frequency ratio obeys (Ω22Ω1)2=1−12Ka−12Kb.\boxed{\left(\frac{\Omega_2}{2\Omega_1}\right)^2=1-\frac{1}{2K_a}-\frac{1}{2K_b}.}(2Ω1​Ω2​​)2=1−2Ka​1​−2Kb​1​.​ Version 2.0 adds complete feasible-set selection, a harmonic three-dimensional drive, unequal-capacity transfer, and the full preparation-to-detector calculation. A cross-Kerr counterexample shows why a perfect one-excitation calibration alone cannot settle the two-excitation prediction. The package contains the manuscript, proofs, executable checks, synthetic examples and a reproducible audit of the public Hou trapped-ion tables. The selection and transfer results are proved within their stated finite classes. The canonical realization shares laboratory probabilities with matched microscopic quantum mechanics; finite-slot discrimination requires independently qualified physical capacities and instruments. The archive is a retrospective eligibility audit. The separate prospective test commits the measurement design before a laboratory supplies its physical capsule. Companion: Artian's Physical Contact Transfer Test. Source dependencies: Completed-Event Transport and Quantum Coherence; QTT Main Book. Independent experimental context: Hou et al., Nature Physics (2024). Browse the corpus. The main PDF is the preview; the ZIP contains the full reconstruction package.
Testing how retained measurement records determine prediction performance p(y,r∣C)=12⟨y∣Er(C)∣y⟩,RS−RR=E[(qR−qS)2]≥0.\boxed{p(y,r\mid C)=\frac12\langle y|E_r(C)|y\rangle,\qquad \mathcal R_S-\mathcal R_R=\mathbb E[(q_R-q_S)^2]\ge0.}p(y,r∣C)=21​⟨y∣Er​(C)∣y⟩,RS​−RR​=E[(qR​−qS​)2]≥0.​ How much predictive information survives when earlier detector records are hidden? This two-platform empirical paper connects qualified completed-event transport to explicit joint probabilities, fixed information-deletion rules and measured prediction performance. In the superconducting recurrence archive, retaining four earlier measurements raises fifth-outcome prediction accuracy from 73.2183% to 82.2774%, across all 495 settings and 19.8 million archived trials. The gain over the latest reading alone is 2.4895 percentage points. No outcome probabilities, noise rates, gate angles or contrast normalizations are fitted. All seven record selections, unsupported histories and adverse settings are retained, and confidence calibration is evaluated separately from accuracy. The complete trapped-ion benchmark is preserved: 32,000 tree records from 6,400 hardware shots, five strengths, seven masks and 30 nested comparisons. Its primary calibration p=0.0862 and complementary p=0.0189 are both reported. The two experiments' sampling units and uncertainties are not pooled. The paper is written for scientists new to Quantum Traction Theory. A boxed fourth-face energy-capacity identity explains the proposed source picture; the additional transport, composition and sampling premises needed to construct detector predictions are stated. The archives test the resulting record instruments, not the factor 4 pi or a fundamental length directly. The displayed joint law describes the ion preparation-inference task; a sequential branch law handles recurrence, with the same prediction-loss identity. The matched ordinary quantum instruments have identical probabilities and the same zero outcome-fit burden. These are retrospective, reproducible source-to-record benchmarks, not a claim of experimental separation. A calibration-first follow-up specifies how an independently source-selected apparatus input could add predictive content. The reconstruction ZIP includes editable source, all derived probabilities and scores, checksum-pinned data acquisition, independent score checks and a complete two-platform replay. The PDF is the primary reading copy. Experimental archives: Feng and colleagues and Liu, Tornow, Kessler and Barkai. Source dependencies: Completed-Event Transport, Completed-Event Four-Capacity and Physical Contact Selection. Corpus navigation: DOI Map.