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Theorem on the absence of asymptotic chaos. Ontic chaos is impossible; observable chaos is an artefact of coarse-graining In finite-dimensional unitary quantum systems: asymptotic exponential chaos is absent. However, coarse-grained observables can exhibit effective chaotic behavior over finite ranges of the emergent evolution parameter. New: The physical picture underlying the No-Asymptotic-Chaos Theorem — that observed stochasticity in quantum dynamics is epistemic rather than ontic, arising from coarse-graining rather than from intrinsic unpredictability of the unitary evolution — receives independent theoretical and experimental support from García-Pintos et al. (2026), who demonstrate that the quantum arrow of time is manipulable by feedback and therefore cannot be a primitive ontic property of the microscopic dynamics. García-Pintos, L. P., Liu, Y.-K., and Gorshkov, A. V. "Reshaping the Quantum Arrow of Time." Physical Review X 16, 011028 (2026). DOI: 10.1103/l18s-9vmh Remark. A useful conceptual analogy can be drawn with geometric flows and the Poincaré program. In Ricci flow with surgery, local singular necks are removed in order to preserve global control of the manifold; in Quantumograph, exact finite-dimensional unitary evolution excludes genuine strange attractors at the ontic level. In both cases, the apparent complexity belongs to the effective description rather than to the fundamental dynamics. Coarse-graining plays a role analogous to surgery: it regularizes the observed behavior while leaving the underlying reversible structure intact. Thus, the observed chaotic regime should be viewed as an artifact of coarse-graining, not as a property of the microscopic system itself.
Матеров С. Ю. 2026. Theorem on the absence of asymptotic chaos. PREPRINTS.RU. https://doi.org/10.24108/preprints-3114826
