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2026
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| Online Access: | https://doi.org/10.5281/zenodo.20370954 |
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| author | Pasternak, Andrew |
| author_facet | Pasternak, Andrew |
| contents | <p>(CPD) and quantum mechanics (QM). CPD is not introduced as a replacement for QM,<br>but as a broader nonlinear framework for constrained systems in which structures emerge<br>from local rules, finite capacity, defect motion, jamming, branching, and survival thresholds.<br>Particle physics is treated as one application: particles are modeled as coherent vacuum<br>defects with identity cores and torsional-stress shells.<br>The central claim is that QM may be the space-time averaged statistical description<br>of nonlinear CPD defect-shell dynamics. A particle is not merely a point object, but a<br>structured defect whose sharp CPD state contains core closure, shell stress, fast torsional<br>flicker, finite capacity, and locking dynamics. The quantum wavefunction is interpreted as a<br>coarse-grained shell envelope,<br>ΨQM(x, t) = Cx,t[ΣCPD(x, t)],<br>where Cx,t denotes spatial and temporal coarse-graining. The Born rule is interpreted as<br>a detector-locking law for shell intensity, while collapse is interpreted as shell-to-detector<br>locking.<br>Three proof-of-concept bridge tests are summarized. The first shows that a torsional-shell<br>locking probability proportional to |Ψ|2 reproduces standard interference curves and detectorhit<br>statistics. The second shows that a CPD-inspired finite-capacity nonlinear shell-load<br>term can remain extremely close to linear Schr¨odinger propagation under ordinary low-load<br>conditions, while unsaturated nonlinear evolution deviates strongly. The third shows that an<br>electron-like sharp torsional shell with fast flicker can recover a standard QM-like Gaussian<br>wavepacket after space-time coarse-graining, with temporal averaging playing the dominant<br>role in restoring coherent phase-gradient behavior.<br>These results are not a derivation of QM from a complete CPD lattice. They support a<br>more modest but important interpretation: QM may be the accurate blurred statistical image<br>of sharper nonlinear CPD defect-shell mechanics. CPD and QM are therefore connected<br>primarily by resolution, not simply by vertical microscopic scale.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_20370954 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Constrained Packaging Dynamics and Quantum Mechanics: A Torsional-Shell Interpretation of the Wavefunction Pasternak, Andrew <p>(CPD) and quantum mechanics (QM). CPD is not introduced as a replacement for QM,<br>but as a broader nonlinear framework for constrained systems in which structures emerge<br>from local rules, finite capacity, defect motion, jamming, branching, and survival thresholds.<br>Particle physics is treated as one application: particles are modeled as coherent vacuum<br>defects with identity cores and torsional-stress shells.<br>The central claim is that QM may be the space-time averaged statistical description<br>of nonlinear CPD defect-shell dynamics. A particle is not merely a point object, but a<br>structured defect whose sharp CPD state contains core closure, shell stress, fast torsional<br>flicker, finite capacity, and locking dynamics. The quantum wavefunction is interpreted as a<br>coarse-grained shell envelope,<br>ΨQM(x, t) = Cx,t[ΣCPD(x, t)],<br>where Cx,t denotes spatial and temporal coarse-graining. The Born rule is interpreted as<br>a detector-locking law for shell intensity, while collapse is interpreted as shell-to-detector<br>locking.<br>Three proof-of-concept bridge tests are summarized. The first shows that a torsional-shell<br>locking probability proportional to |Ψ|2 reproduces standard interference curves and detectorhit<br>statistics. The second shows that a CPD-inspired finite-capacity nonlinear shell-load<br>term can remain extremely close to linear Schr¨odinger propagation under ordinary low-load<br>conditions, while unsaturated nonlinear evolution deviates strongly. The third shows that an<br>electron-like sharp torsional shell with fast flicker can recover a standard QM-like Gaussian<br>wavepacket after space-time coarse-graining, with temporal averaging playing the dominant<br>role in restoring coherent phase-gradient behavior.<br>These results are not a derivation of QM from a complete CPD lattice. They support a<br>more modest but important interpretation: QM may be the accurate blurred statistical image<br>of sharper nonlinear CPD defect-shell mechanics. CPD and QM are therefore connected<br>primarily by resolution, not simply by vertical microscopic scale.</p> |
| title | Constrained Packaging Dynamics and Quantum Mechanics: A Torsional-Shell Interpretation of the Wavefunction |
| url | https://doi.org/10.5281/zenodo.20370954 |