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This randomized trial analyzes geometry-induced quantum potentials in constrained platforms, suggesting a new testing framework.
Version 4.0 public record for “A Nuisance-Aware Residual-Test Framework for Geometry-Induced Quantum Potentials in Curved Constrained Platforms”. Version 4.0 is a substantive revision of the public record. It updates the title and scientific framing, clarifies the established Jensen–Koppe–da Costa geometric-potential anchor versus the new nuisance-aware residual-test methodology, adds an explicit finite-width/disorder/spin-orbit/electrostatic validity envelope, strengthens the minimum experimental-design protocol, improves figure readability, and synchronizes the journal and Zenodo packages. The work is framed as a conservative methodological and design-level residual-test framework for geometry-induced quantum potentials in curved constrained platforms. The manuscript is anchored to the established Jensen–Koppe–da Costa geometry-induced potential for scalar particles constrained to smooth curves. The standard constrained-curve prediction is represented 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 manuscript emphasizes that any nonzero residual should first be treated as a platform anomaly unless it survives curvature scaling, nuisance projection, matched-reference controls, blind residual extraction, and cross-geometry replication. No experimental detection is claimed. The included simulations and prospective bounds remain design-level estimates. The package contains the manuscript, supplementary information, figures, reproducibility code, generated CSV/JSON data, metadata files, and public technical materials sufficient to regenerate the numerical validation tables, platform-specific energy-scale estimates, residual sensitivity plots, and figures.
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Mehdi Zadehnour (2026) studied this question.
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