Broad response regions in a reaction-rate ratio do not by themselves identify a biological transduction mechanism. This correction audits the earlier quantum-biological transduction preprint, distinguishes its original and later model versions, and checks selected outputs from a related corrected radical-pair study. Nondimensionalization and explicit two-point error bounds show why a fixed recombination-rate ratio does not generally preserve the absolute response when magnetic frequencies remain fixed. A classical two-stage success probability has a broad interior peak and exact rate-scale invariance; this establishes the non-specificity of curve shape, without reproducing magnetic anisotropy. The earlier pumped two-level model also lacks a specified finite readout: its unweighted population integral diverges when its stationary excited population is positive. Reaction generators, normalization, environmental channels and spectral overlap weights therefore require explicit treatment. Original figure producers and the advertised later source archive remain unrecovered. The numerical examples are attributed, known-target secondary evidence; no new spin simulation or biological experiment is reported. Claims of general formalism robustness, isotope catastrophe, cross-species ratio invariance and a physiological explanation are withdrawn. The retained contribution is an auditable correction and a set of model-comparison requirements. A matched-observable mechanism test and a demonstrated biological pathway remain absent. Corrective release containing the revised manuscript and audit supplement. Related Research Square record: https://www.researchsquare.com/article/rs-8800376 . Earlier unsupported interpretations are withdrawn as detailed in the manuscript. This preprint is not peer reviewed.
Broad response regions in a reaction-rate ratio do not by themselves identify a biological transduction mechanism. This correction audits the earlier quantum-biological transduction preprint, distinguishes its original and later model versions, and checks selected outputs from a related corrected radical-pair study. Nondimensionalization and explicit two-point error bounds show why a fixed recombination-rate ratio does not generally preserve the absolute response when magnetic frequencies remain fixed. A classical two-stage success probability has a broad interior peak and exact rate-scale invariance; this establishes the non-specificity of curve shape, without reproducing magnetic anisotropy. The earlier pumped two-level model also lacks a specified finite readout: its unweighted population integral diverges when its stationary excited population is positive. Reaction generators, normalization, environmental channels and spectral overlap weights therefore require explicit treatment. Original figure producers and the advertised later source archive remain unrecovered. The numerical examples are attributed, known-target secondary evidence; no new spin simulation or biological experiment is reported. Claims of general formalism robustness, isotope catastrophe, cross-species ratio invariance and a physiological explanation are withdrawn. The retained contribution is an auditable correction and a set of model-comparison requirements. A matched-observable mechanism test and a demonstrated biological pathway remain absent. Corrective release containing the revised manuscript and audit supplement. Related Research Square record: https://www.researchsquare.com/article/rs-8800376 . Earlier unsupported interpretations are withdrawn as detailed in the manuscript. This preprint is not peer reviewed.
Abstract Quantum biology has identified nontrivial quantum effects in living systems, yet how quantum dynamics are converted into robust biological function under physiological noise remains unclear. We argue that the key challenge is transduction—how quantum dynamics produce stable biological outputs—rather than coherence preservation. Using radical pair magnetoreception as a model system, we find a pronounced response plateau in magnetic anisotropy as a function of the recombination-rate ratio, robust across modelling choices and absolute rate scaling, while disappearing under hyperfine ablation. Moderate dephasing enhances the response within a bounded noise window, offering a natural account of the mismatch between in vivo robustness and in vitro fragility. Spectral analysis identifies mode identity exchange as a signature of the plateau boundary. A minimal open-quantum toy model reproduces the key qualitative features, suggesting broader applicability. Together, these results support a view of quantum-to-biological transduction as a problem of regime stability rather than signal optimisation.
Finite-time return measurements can assign the same stability label to different dynamical responses. We document this ambiguity in a periodically kicked Ising chain initialized in a Neel product state, and replace an earlier numerical claim with a reproducible finite-model benchmark. For ten spins, even-period return highlights identity-like pulse settings as well as a period-doubled cycle. Signed odd-period and Fourier diagnostics distinguish these cases. At the perfect-pulse point, diagonal phase perturbations preserve the basis-state cycle exactly. Under fresh Gaussian transverse rotations, the alternating ensemble-mean local correlation has envelope exp(-2σ²n), independently of the diagonal Ising coupling. Independent local channels also give an elementary product expression for the ensemble cycle fidelity; a shared pulse-angle fluctuation has the same local mean but can have a different fidelity. These ensemble identities do not determine nonlinear per-realization scores, whose averaging order must be retained. All simulation results derive from one newly seeded state-vector dataset with raw traces and source hashes; analytic controls are evaluated separately. The resulting shelves and sampled noise crossings describe a specified preparation, channel, diagnostic and observation window. They supply no evidence for a universal discreteness mechanism, interaction protection from these exact-center ensemble observables, or a thermodynamic time-crystal phase. Corrective release with the corrected manuscript, code, data and figure pipeline. Related Research Square record: https://www.researchsquare.com/article/rs-8790240 . This version replaces the earlier audit bundle with the reviewed reproducibility package. Archived claims are retained for provenance and are not endorsed. This preprint is not peer reviewed.
Assertions about collider classifiers require observable evidence and a specified deployment reference. We distinguish the classification threshold that selects events from the claim threshold that defines acceptable performance. For fixed nominal-weighted ratio claims on a frozen finite population, we apply established assorter reductions and bounded-mean confidence sequences under independent sampling with replacement and a predeclared weight bound. The anytime-valid error control is per claim, not automatically simultaneous across claims, and is not a new statistical guarantee. In 19,680 archived paired audit-stream comparisons, changing unweighted correctness and its source reference to nominal-weighted accuracy and its own reference changed 536 supported verdicts to unresolved and 226 in the reverse direction. Scores, labels, weights and exact ratios were available before these simulated audits; their stopping times demonstrate no operational acquisition saving. A post hoc analysis of 30 finite-shot quantum-kernel realizations, with paired RAW and diagonal-loading treatments, describes sensitivity to operating rules, ideal versus realized references, and fixed versus recomposed margin groups. Verdict differences are not auditor error rates, and no quantum-specific mechanism or quantum advantage is established. A CMS open-data example supports restricted aggregate statements while event-level accuracy remains unidentified. This substantial revision withdraws the previous physical-interval coverage conclusions following numerical-validation problems; the available reevaluation does not reestablish them. The retained contribution is mathematical exposition and descriptive evidence, without methodological-priority or calibrated physical-inference claims.
A durable quantum record, the location of its coherence, and a uniquely actual outcome are different physical questions. We study their separation in a supplied finite-dimensional quantum theory. An explicit, time-independent apparatus couples a system–detector encoding to a controller, a distinct archive, and a finite returning source. A conditional energy penalty suppresses release of the original record without deleting its return coupling. An invariant reduction and a one-sided spectral-gap estimate yield a certified interval with archive occupation above 0.98438, controller-latched occupation above 0.99161, and filled-but-unlatched weight below 2.402 × 10^-7 in one stated design. The same record statistics admit different source-label overlaps and hence different coherence on a specified retained boundary. A conserved product of complementary exchanges accesses that coherence when the finite source is included. Given a calibrated multiregister reader, its finite-duration response separates the coherent apparatus from an independently added archive-gated reduction law, with the added process left active during readout. A conservative example retains a response gap above 0.01717 after separately stipulated one-percent error allowances. The contribution is the finite construction and its quantitative retention, access, and readout interfaces. Quantum carriers, Hamiltonian couplings, trace readout, source preparation, and the reader are supplied; local reader synthesis, empirical calibration, absolute rate selection, and unique-event actualization are not established. Paper code: CFQR-P1 (Complementarity-First Quantum Records — Paper 1). The associated bundle contains the technical supplement, editable LaTeX, numerical checking programs and rational certificates, and selected Lean sources with returned build and axiom-audit evidence. The 39 supporting declarations are partially formalized; eleven recorded type excerpts contain printing elisions. This is not end-to-end formalization, external human peer review, an experimental detection of fundamental collapse, or a derivation of unique-event actualization. Author-owned manuscripts, documentation and mathematical data are CC BY 4.0; author-owned software is MIT, subject to the bundle’s licence map and third-party notices.
Quantum science and biology now intersect in three complementary directions: quantum in biology, quantum for biology, and biology for quantum. This review provides a structured narrative evidence map of that interface rather than an exhaustive catalogue or formal systematic review. For each topic, we ask what the mechanistic or technological claim is, which quantum resource is invoked, what the strongest experiments and models establish, which classical alternatives or engineering confounds remain competitive, and what decisive tests or benchmarks would most strongly change confidence. The most mature quantum-in-biology cases remain mechanistically constrained tunneling in some enzymatic hydrogen-transfer reactions and radical-pair spin chemistry as a viable framework for magnetoreception, whereas several higher-visibility topics remain suggestive but unresolved under physiological conditions. In quantum for biology, the central issue is whether quantum-enabled tools improve biological inference relative to strong classical baselines under realistic calibration, dose, throughput, and uncertainty constraints. In biology for quantum, the strongest claims arise when biomolecular structure or self-assembly measurably improves fabrication, integration, or robustness in quantum devices. Summary tables in the Appendix provide a compact cross-map view of the current evidence, major confounds, and the experiments or benchmarks most likely to discriminate between competing explanations.
This technical report develops and tests TWMSE Candidate Equation 4A, a phenomenological, threshold-activated model of observer-induced quantum collapse formulated to preserve Born weights and operational no-signalling while producing experimentally distinguishable dynamics. Candidate Equation 4A introduces a branch-sensitive Lindblad term whose activation depends on whether an operationally defined observer record exceeds a specified threshold. The report evaluates the equation’s mathematical consistency, including trace preservation, positivity, Born-weight preservation and operational no-signalling. It also examines individual stochastic trajectories, ensemble behaviour, synthetic count-level parameter recovery, statistical power and the consequences of model misspecification. A retrospective analysis is performed using published fitted GHZ decoherence-rate summaries from two superconducting-qubit studies. This is not an analysis of original laboratory shot-level data. The combined profile analysis finds no robust positive signal for Candidate Equation 4A. Instead, it establishes provisional, threshold-dependent upper limits on the additional collapse rate. Across the report’s primary threshold range of R* = 1–9, the largest pointwise one-sided 95% upper limit is approximately 7.3 × 10³ s⁻¹, while the tightest limit is approximately 3.0 × 10³ s⁻¹ at R* = 8. These are pointwise limits and do not constitute a simultaneous confidence band. The retrospective results therefore constrain but do not favour Candidate Equation 4A. Standard quantum mechanics remains sufficient to describe the analysed GHZ summaries and does so with fewer parameters. Candidate Equation 4A survives this preliminary confrontation only in the limited scientific sense that portions of its parameter space remain unexcluded. This non-exclusion is not evidence that the candidate is correct. The report consequently specifies a dedicated amplify–hold–erase experiment using matched record-forming and coherent-control circuits. The proposed test varies observer-record size, conditional record strength and dwell time while collecting count-level measurement outcomes and contemporaneous calibrations of conventional noise. The protocol is designed to distinguish a threshold-activated observer-record contribution from smooth, conventional decoherence and other experimental effects. A preregistration template, empirical-data schema and data dictionary are supplied so that the proposed experiment can be performed and analysed as an independently reproducible and falsifiable test. The accompanying ZIP archive is the complete, self-contained reproducibility package for the results reported here. It contains the code, simulation data, published GHZ rate summaries used as inputs, derived numerical outputs, documentation, software requirements and integrity checks required to reproduce the reported computational analyses and verify the packaged results. The archive contains: • the complete report in PDF, DOCX and Markdown formats;• deterministic Python reproduction scripts;• results from 500 density-matrix consistency trials;• 250,000 simulated stochastic trajectories;• 14,336 synthetic count-level circuit rows;• synthetic parameter-recovery and statistical-power results;• model-misspecification tests;• the published fitted GHZ rate summaries used in the retrospective analysis;• individual and joint GHZ profile-likelihood results;• prediction grids and report figures;• an empty 37-column template for future empirical raw data;• a data dictionary and preregistration template;• software-environment requirements and citation metadata; and• a SHA-256 manifest for package-integrity verification. The simulated trajectories and synthetic circuit counts are computational data rather than laboratory observations. The included GHZ inputs are published fitted rate summaries and are not original experimental shot counts. No new laboratory data are included, and no empirical discovery claim is made. Successful reproduction verifies that the supplied code generates the reported mathematical checks, simulations and retrospective statistical results. It does not establish that nature follows Candidate Equation 4A, demonstrate observer-induced collapse, or show that TWMSE is empirically preferred over standard quantum mechanics. The physical ideas, TWMSE framework, research direction and scientific interpretation are those of the author. Computational assistance was used for mathematical checking, simulation, statistical analysis, document preparation and reproducibility auditing. The author directed the research and accepts responsibility for the methodology, scientific claims, interpretations and conclusions. Candidate Equation 4A should therefore be understood as an explicit, internally testable and falsifiable phenomenological candidate that has passed the reported mathematical and computational consistency checks, remains compatible with the limited published summaries examined, and now requires the proposed dedicated raw-data experiment for a meaningful empirical test.