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This record contains a bilingual research package for the manuscript “Hierarchical Cascade Cosmology, Global Unitarity, and Statistical Signatures of Open Dynamics” together with plain-language companion texts intended to make the theory accessible to a wider audience. What the work is about The central idea of the manuscript is simple in formulation, but ambitious in scope: the observable Universe may be treated not as a perfectly isolated system, but as an open effective subsystem embedded in a broader hidden quantum hierarchy. In that picture, the full total system may remain globally unitary, while the reduced dynamics accessible to internal observers becomes effectively non-unitary, non-Markovian, and dissipative after inaccessible degrees of freedom are traced out. This shift in viewpoint offers a possible physical route to three empirical features that are difficult to discuss within a strictly closed-system description: Memory (M) — long-range statistical dependence, meaning that observable cosmological fluctuations may retain information about much earlier or much larger-scale conditions than would be expected in a short-memory Markovian model. Relaxation (R) — non-exponential, fractional, or multi-scale relaxation behavior, indicating that the return to equilibrium or damping of perturbations is not governed by a single simple timescale. Irreversibility (I) — statistical asymmetry between forward and reversed patterns, interpreted here as an operational signature of effective open-system dynamics. These three quantities are organized into the effective parameter triad (M, R, I). Main physical claim The work does not claim to prove baby universes, a multiverse ontology, or a conscious external observer. It also does not require any violation of global quantum unitarity, nor does it require modification of general relativity at classical scales. Instead, it makes a narrower and testable statement: If the observable cosmological domain is an open effective subsystem of a larger hidden structure, then measurable statistical traces of that openness may appear in real data. These traces are expected to take the form of: persistent long-range dependence, fractional relaxation, and non-zero temporal irreversibility. Mathematical backbone The manuscript connects this idea to standard tools from the theory of open quantum systems: reduced density matrices, partial trace over inaccessible sectors, GKSL/Lindblad dynamics in the Markovian limit, Nakajima–Zwanzig memory-kernel formalism in the non-Markovian case, and a generalized Langevin equation (GLE) as a minimal toy model. A central bridge relation proposed in the manuscript is: M ≈ 1 − κ / 2 where κ is the exponent of a power-law memory kernel . This relation is important because it converts a qualitative conceptual picture into a quantitatively falsifiable prediction. Why this may matter for cosmology The work is motivated by the fact that cosmological observations continue to exhibit debated large-scale anomalies and unexplained statistical structure. The manuscript does not treat such anomalies as proof of the theory. Rather, they are used as motivation for a careful test: If signatures compatible with M > 0.5, anomalous R, and I > 0 are found in cleaned cosmological data and remain robust under surrogate testing and systematics control, then the open-dynamics interpretation gains support. If those signatures disappear after proper control, then the hypothesis is restricted or rejected. Datasets and empirical protocol The package explicitly targets reproducible testing on open public datasets, including: Planck Legacy Archive for CMB maps, SDSS DR17 for large-scale structure, DESI public products where applicable. Because CMB and LSS are not naturally 1D time series, the manuscript also defines an explicit reduction protocol from 2D or 3D cosmological data to ensembles of reproducible 1D trajectories. That step is crucial, because incorrect projection can generate spurious memory or irreversibility. The validation protocol includes: DFA-2 estimation of the memory parameter, ordinal-pattern / KL-divergence estimation of irreversibility, surrogate testing with IAAFT-style controls, cross-validation across maps, masks, and reduction schemes, and explicit falsifiable hypotheses H1–H5. What is included in this Zenodo package This deposit includes four main document streams: Scientific article, English — LaTeX source and compiled PDF Scientific article, Russian — LaTeX source and compiled PDF Plain-language explanation, English — LaTeX source and compiled PDF Plain-language explanation, Russian — LaTeX source and compiled PDF In addition, the package may include: README and metadata files, a hierarchy diagram illustrating the conceptual structure , and supporting material for future reproducibility. Intended use This record should be read as a methodological and theoretical hypothesis package. Its main value is not that it asserts a final cosmological ontology, but that it proposes a concrete route from hidden-structure ideas to measurable statistical consequences in cosmological data. The work is therefore relevant to readers interested in: statistical physics, non-Markovian dynamics, open quantum systems, cosmological data analysis, long-range dependence, and theoretical models of the arrow of time. Status of the work This version should be understood as: a research preprint, a reproducible methodological proposal, and a basis for future empirical validation. Compatibility with data would support the model’s open-dynamics interpretation. Incompatibility with the stated tests would directly constrain or falsify it.