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| Формат: | Recurso digital |
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Zenodo
2026
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| Online-ссылка: | https://doi.org/10.5281/zenodo.20392247 |
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- <p>**Version v0.5 — Journal-Polish Update**</p> <p>This manuscript develops a conservative extension framework for Schrödinger dynamics in which an observed quantum system is embedded into an enlarged Hilbert space equipped with an auxiliary clock-information fiber. The fiber is not introduced as a macroscopic hidden spatial dimension, nor as a local hidden-variable register. Instead, it is treated as a quantum auxiliary sector carrying phase memory, clock/reference correlations, and correlation records that may appear as information loss or dephasing after partial tracing.</p> <p>The central contribution of this version is a residual-identifiability framework. Rather than claiming that unitary dilation itself is new, the paper asks whether a calibrated observed system can exhibit structured residuals after independent-bath subtraction and common-bath controls. The main diagnostic object is a log-residual statistic,</p> <p>$$<br>R_\chi(t;\sigma_{\rm ref})<br>=<br>\log C_{\rm obs}(t;\sigma_{\rm ref})<br>-<br>\log C_{\rm ind}(t;\sigma_{\rm ref}),<br>$$</p> <p>together with reference-covariance indices such as</p> <p>$$<br>\mathcal I_\chi(t;\sigma_{\rm ref})<br>=<br>\partial_{\sigma_{\rm ref}}R_\chi(t;\sigma_{\rm ref}),<br>$$</p> <p>and covariance/correlation-based diagnostics over controlled reference settings.</p> <p>The framework emphasizes that a nonzero residual alone is not sufficient evidence for an admissible clock-information fiber. A candidate residual must be non-factorizing, reproducible, reference-covariant, and not absorbed by independent local bath models, common classical noise, or generic common quantum bath controls. In particular, the admissible-fiber hypothesis is treated as a residual diagnostic condition, not as a proof of a new hidden variable, superluminal channel, or macroscopic extra dimension.</p> <p>The paper proves the elementary consistency statements for the enlarged dynamics: total unitarity under a self-adjoint total Hamiltonian, total energy conservation for time-independent generators, subsystem entropy growth under partial trace, and no-signalling compatibility under local trace-preserving operations. It also presents minimal toy models for phase-memory dephasing, shared-fiber cross-kernels, compact protected fiber sectors, and synthetic residual-fitting demonstrations.</p> <p>The synthetic fitting layer uses a representative model of the form</p> <p>$$<br>C_{\rm obs}(t;\sigma_{\rm ref})<br>=<br>C_{\rm ind}(t)<br>\exp[-a(\sigma_{\rm ref})t^2],<br>\qquad<br>a(\sigma_{\rm ref})=a_0+a_1\sigma_{\rm ref}^2,<br>$$</p> <p>so that</p> <p>$$<br>R_\chi(t;\sigma_{\rm ref})<br>=<br>-a(\sigma_{\rm ref})t^2.<br>$$</p> <p>This example is intended as an identifiability demonstration: after calibrated independent-bath subtraction, a candidate clock-information fiber signature should appear as a reproducible residual with controlled reference covariance, rather than as an arbitrary fitting term.</p> <p>The experimental outlook focuses on Ramsey/spin-echo baselines, dynamical-decoupling response, superconducting qubit and Josephson platforms, tunneling phase-delay diagnostics, and reference-modulation protocols. The manuscript also formulates a common-bath control envelope,</p> <p>$$<br>|R_\chi(t;\sigma_{\rm ref})-R_{\rm ctrl}(t;\sigma_{\rm ref})|<br>\le<br>\delta_R(t;\sigma_{\rm ref}),<br>$$</p> <p>to express the requirement that a proposed fiber residual should not be absorbed by generic common-bath control models within statistical uncertainty.</p> <p>### Main updates in v0.5</p> <p>- Shortened journal-style title and abstract.<br>- Removal of version-history language from the abstract.<br>- Strengthened common-bath control criterion.<br>- Addition of a formal common-bath control envelope.<br>- Improved diagnostic separation between independent local baths, common classical noise, generic common quantum baths, and admissible clock-information fibers.<br>- Algorithm-style synthetic residual-identifiability test.<br>- Synthetic residual-fitting demonstration using reference-covariant dephasing.<br>- Improved table formatting and manuscript presentation for journal-style readability.</p> <p>### Scope and non-claims</p> <p>This work should be read as a structured framework for residual diagnostics in extended Schrödinger dynamics. It is not a hidden-variable theory, not a superluminal-signalling model, not a derivation of measurement collapse, and not a completed microscopic theory of mass, charge, or quantum gravity.</p>