Curvature-Flow Residual Tests of Geometry-Induced Quantum Potentials: Platform-Specific Simulations and Prospective Bounds

superseded by v4. Version 3.0 public record for “Curvature-Flow Residual Tests of Geometry-Induced Quantum Potentials: Platform-Specific Simulations and Prospective Bounds”. This record contains a manuscript, supplementary information, figures, generated CSV/JSON data, reproducibility code, and public technical reports for an anchored residual-test formulation of geometry-induced quantum potentials in constrained curved systems. The work is anchored to the established Jensen–Koppe–da Costa geometry-induced potential for scalar particles constrained to smooth curves. In the constrained scalar-curve limit, the standard prediction is encoded by the fixed coefficient −1/4, while the residual parameter delta-lambda is defined as a falsifiable null-test quantity. Standard constrained quantum mechanics predicts delta-lambda = 0. The included platform-specific simulations estimate prospective spectral and interferometric sensitivity for curved electronic guides and related phase-coherent geometries. These simulations and bounds are design-level estimates, not experimental detections. Any nonzero residual is treated as a platform anomaly unless it survives curvature scaling, nuisance projection, and cross-geometry replication. The package includes reproducibility materials sufficient to regenerate the numerical validation tables, platform-specific energy-scale estimates, residual sensitivity plots, and figures associated with the manuscript.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-13
DOI
https://doi.org/10.5281/zenodo.20676335
Primary Topic
Quantum, superfluid, helium dynamics
Type
preprint
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preprint

Curvature-Flow Residual Tests of Geometry-Induced Quantum Potentials: Platform-Specific Simulations and Prospective Bounds

Mehdi Zadehnour
Zenodo (CERN European Organization for Nuclear Research)
Quantum, superfluid, helium dynamics
preprint

Curvature-Flow Residual Tests of Geometry-Induced Quantum Potentials: Platform-Specific Simulations and Prospective Bounds

Mehdi Zadehnour
preprint en

Abstract

superseded by v4. Version 3.0 public record for “Curvature-Flow Residual Tests of Geometry-Induced Quantum Potentials: Platform-Specific Simulations and Prospective Bounds”. This record contains a manuscript, supplementary information, figures, generated CSV/JSON data, reproducibility code, and public technical reports for an anchored residual-test formulation of geometry-induced quantum potentials in constrained curved systems. The work is anchored to the established Jensen–Koppe–da Costa geometry-induced potential for scalar particles constrained to smooth curves. In the constrained scalar-curve limit, the standard prediction is encoded by the fixed coefficient −1/4, while the residual parameter delta-lambda is defined as a falsifiable null-test quantity. Standard constrained quantum mechanics predicts delta-lambda = 0. The included platform-specific simulations estimate prospective spectral and interferometric sensitivity for curved electronic guides and related phase-coherent geometries. These simulations and bounds are design-level estimates, not experimental detections. Any nonzero residual is treated as a platform anomaly unless it survives curvature scaling, nuisance projection, and cross-geometry replication. The package includes reproducibility materials sufficient to regenerate the numerical validation tables, platform-specific energy-scale estimates, residual sensitivity plots, and figures associated with the manuscript.

Zenodo (CERN European Organization for Nuclear Research)
Quantum, superfluid, helium dynamics
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