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A Reproducibility Benchmark for a CSL Force-Noise Calculator: Two Reproductions, One Unresolved Discrepancy

QianJun Yu

Published Oct 23, 2026• 0 citations
Publisher

Abstract

A source-bound benchmark is presented for a white, mass-proportional Continuous Spontaneous Localization (CSL) force-noise calculator. The calculation is compared with fixed numerical points from a levitated-sphere study, a nanocantilever study and a LISA Pathfinder analysis. After explicit spectral-convention reconciliation, the sphere comparison reproduces its five assigned source points with a maximum relative deviation of 8.66%. A rigid-cuboid-plus-sphere cantilever approximation reproduces five points from the published contour with a maximum deviation of 11.28%. Both satisfy the fixed 30% point criterion. The LISA calculation clears the smaller assigned points but fails at r_C = 0.1 m: computed/source is 2.03507. The supplied digitized trace also shows disagreement across approximately 0.03–0.30 m, with ratios 1.95–2.77; its onset remains unlocated. The completed labelled-tick calibration leaves a 30.31-pixel discrepancy against the fixed ±5 allowance. A portable kit regenerates the results, including this retained failure. These checks test implementation and source reproduction, not CSL’s physical validity, a new exclusion region or apparatus feasibility. This first public release (v0.1) derives from adopted R4. The record includes the manuscript PDF and DOCX and a portable code/data kit. Original code is MIT licensed; original manuscript, narrative documentation and newly drawn figures are CC BY 4.0. Third-party source/dependency rights remain with their holders; see LICENSES.md in the kit. Generative AI assisted planning, implementation, source checking and drafting. Same-session and related-family reviews do not establish independent validation. QianJun Yu is responsible for the release. The LISA failure is intentionally retained.

DOI
10.5281/zenodo.23606305

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A source-bound benchmark is presented for a white, mass-proportional Continuous Spontaneous Localization (CSL) force-noise calculator. The calculation is compared with fixed numerical points from a levitated-sphere study, a nanocantilever study and a LISA Pathfinder analysis. After explicit spectral-convention reconciliation, the sphere comparison reproduces its five assigned source points with a maximum relative deviation of 8.66%. A rigid-cuboid-plus-sphere cantilever approximation reproduces five points from the published contour with a maximum deviation of 11.28%. Both satisfy the fixed 30% point criterion. The LISA calculation clears the smaller assigned points but fails at r_C = 0.1 m: computed/source is 2.03507. The supplied digitized trace also shows disagreement across approximately 0.03–0.30 m, with ratios 1.95–2.77; its onset remains unlocated. The completed labelled-tick calibration leaves a 30.31-pixel discrepancy against the fixed ±5 allowance. A portable kit regenerates the results, including this retained failure. These checks test implementation and source reproduction, not CSL’s physical validity, a new exclusion region or apparatus feasibility. This first public release (v0.1) derives from adopted R4. The record includes the manuscript PDF and DOCX and a portable code/data kit. Original code is MIT licensed; original manuscript, narrative documentation and newly drawn figures are CC BY 4.0. Third-party source/dependency rights remain with their holders; see LICENSES.md in the kit. Generative AI assisted planning, implementation, source checking and drafting. Same-session and related-family reviews do not establish independent validation. QianJun Yu is responsible for the release. The LISA failure is intentionally retained.
Joint force and coherence constraints are implemented for one specified Gaussian Diósi–Penrose generator in a fixed finite-time protocol. The analysis retains kinetic energy, correlated two-body noise, three-dimensional wave packets, and local decoding followed by tracing out motion. A trusted normalized initial-force bound of 0.995 restricts the common smearing scale from above. Uniformly over the remaining positive scales, the local statistic has Newton mean greater than 0.9965 and DP absolute mean less than 0.4581. An entanglement witness from the same measurement record also has a positive prediction gap greater than 0.03761, but entanglement is not necessary for this model exclusion. The small-smearing argument bounds full coherence blocks by an early completely positive instrument and includes subsequent interacting evolution in the bound. The general force–decoherence principle is known; the contribution is the controlled finite-readout implementation. This is a conditional nonrelativistic theoretical result with trusted ideal preparation, force calibration, and readout, not an empirical exclusion or a general certification of quantum gravity. The companion archive includes the full LaTeX source, standalone Python checks, exact rational certificates, and reproducibility instructions. The work has undergone internal checks, not independent peer review. Generative-AI assistance is disclosed in the paper. Licensing: the manuscript PDF, LaTeX source, documentation and numerical records are licensed under CC BY 4.0. The Python software and its embedded tests are licensed under MIT. These licenses apply to separate file categories, as specified in the companion archive; they are not alternative licenses for every file.
This Zenodo record contains the main preprint and supplementary information for a shared-parameter closure analysis of Continuous Spontaneous Localization (CSL) using public upper-bound evidence and direct astrophysical inequalities. Over the reporting domain x = log10(r_C / m) in [-10, 0] and y = log10(λ / s^-1) in [-20, -5], the study reconstructs admissible upper envelopes for XENONnT, a GW/LISA composite constraint, radiation-channel searches, cold-atom and bulk-heating constraints, cantilever-related bounds, and direct astrophysical heating inequalities. The principal result is a quantified compression of the shared admissible CSL region under the current public evidence stack, together with an evidence-class limit: when each channel is represented only by one-sided admissible upper envelopes or direct inequalities, the shared-envelope admissible set is exactly the intersection of the individual admissible sets. Under this evidence class alone, positive-measure closure-failure regions cannot be established. Accordingly, the record supports a bounded claim: current public single-channel summaries overstate the shared admissible CSL volume, whereas decisive inconsistency testing requires richer, likelihood-aware evidence. Files included in this record:1. Main preprint PDF.2. Supplementary PDF containing source/provenance notes, formulas, exact reported metrics, and reproducibility notes.
Removing a common displacement from a gravitational channel test need not preserve its ability to exclude classical communication between quantum laboratories. We give a quantitative construction for four oscillators in a passive Newtonian rotating-wave model, using independent unknown coherent inputs, local heterodyne measurements, and classical subtraction of the common mode. An analytic bound on a bounded score holds for every normal local-operations-and-classical-communication (LOCC) channel, without an output-energy or Gaussian restriction. The ideal quantum mean is 0.125, whereas the LOCC mean is below 0.124068. With residual gain errors of 0.1%, phase errors of 0.01 radians, and an independently bounded common displacement, the respective bounds remain above 0.124581 and below 0.124438. We exhibit a common-noise regime in which the original vacuum-outcome criterion loses its guarantee while the relative score retains one. A conservative fixed-sample test controls false exclusion with memory in the null. The result assumes quantum local matter and trusted measurement structure; it neither excludes all classical phase-space models nor establishes experimental feasibility. This record contains the preprint, editable LaTeX source, and an offline reproducibility archive with exact-arithmetic certificates and 26 computational tests. One project-history test requiring undistributed literature copies is explicitly excluded from the public runner. Substantial use of generative AI is disclosed in the manuscript. This preprint has not undergone journal peer review. Licensing: the manuscript, LaTeX source, documentation and numerical records are licensed under CC BY 4.0; Python software and tests are licensed under MIT. These licences apply to separate file categories, as specified in the archive.
The continuous spontaneous localization (CSL) model is the most studied among collapse models, which describes the breakdown of the superposition principle for macroscopic systems. Here, we derive an upper bound on the parameters of the model by applying it to the rotational noise measured in a recent short-distance gravity experiment [Lee et al., Phys. Rev. Lett. 124, 101101 (2020)]. Specifically, considering the noise affecting the rotational motion, we found that despite being a tabletop experiment the bound is only one order of magnitude weaker than that from LIGO for the relevant values of the collapse parameter. Further, we analyze possible ways to optimize the shape of the test mass to enhance the collapse noise by several orders of magnitude and eventually derive stronger bounds that can address the unexplored region of the CSL parameters space.
Public photon Bell-test records retain timing structure that is lost in aggregate statistics. This paper tests whether that structure survives quantitative response controls in three experimental archives. In the Weihs data, a rectangular contrast of four channel-pair timing centroids tests whether accepted signal delays can be written as a sum of local channel contributions. For longdist1, the contrast is 1.405 ns and 1.515 ns in disjoint chronological halves, with pointwise 95% block intervals [1.018, 1.791] ns and [1.193, 1.836] ns. Both survive the enumerated centroid scan under the specified 20-block inference at an 8-ns coincidence half-width and remain positive under clock, background, and gate checks. A flexible empirical timing model, however, transfers between chronological halves after clock-drift calibration. In the Christensen archive, the suppressed setting-pair channel is strongly enriched in coincidence tails, but a cross-fitted signal–accidental model predicts 714.6 of 730 counts beyond 300 ns; the residual is 15.4 counts with interval [−54.6, 85.3]. NIST timing-offset records exhibit a terminal-mask excess accompanied by an Alice-side singles-rate change and compatible with a separately calibrated local-setting mixture. The evidence separates reproducible structure, failure of an additive accepted-centroid model, and effects accommodated by explicit response controls. Finite coincidence selection and known switching-related populations prevent the centroid contrast alone from establishing intrinsic polarization–time coupling or a failure of quantum theory. Statistical scope. The analyses are exploratory. Coarser clustering weakens scan-adjusted significance: with ten blocks per half, the highlighted Weihs contrast has adjusted approximate p values of 0.087 and 0.014. The residual is specific to the accepted-centroid model and does not establish a discrepancy beyond all independently calibrated temporal-response models. Files and reproducibility. Bell_manuscript.pdf is the self-contained, 13-page preprint dated 30 October 2026. Bell_Reanalysis_Source.zip contains the editable LaTeX manuscript, numerical figure code, reconstruction and analysis scripts, derived records, source manifests and hashes, full comparison tables, calibration and sensitivity results, and reproduction instructions. The NIST analysis uses 60 prescribed samples of 500,000 trials, rather than complete runs. The full upstream Christensen archive and Weihs time-tag files are retrieved by the supplied fetchers and are not bundled. A clean internal rerun reproduced the checked numerical outputs exactly; external independent reproduction is not claimed. Publication status and assistance. This research preprint has not been peer reviewed. AI tools assisted programming, analysis, and manuscript preparation; responsibility for the work remains with the author. License scope. The manuscript and original figures are licensed under Creative Commons Attribution 4.0 International. Original analysis code is licensed under MIT. Third-party source data and derived excerpts retain applicable source terms and attribution; this deposit does not relicense upstream material.