Turbulence as Redistribution Boundaries, Cascades, and Coherence Across Scales

Turbulence is commonly described through instability, nonlinear transfer, intermittency, dissipation, and statistical disorder. Yet turbulent flows also exhibit persistent vortical structures, transport barriers, recurrent process cycles, multiscale inheritance, and organized transitions among flow states. This manuscript proposes that these phenomena can be interpreted through a common organizational framework: turbulence as the redistribution of partially maintained closure across structures, boundaries, scales, and time. Here, closure does not denote thermodynamic isolation, mathematical closure of a model, a hidden force, or a new conserved substance. It denotes the dynamically maintained organization of selected relations such that a structure, boundary, or process remains within a defined viability class over a specified interval. Opening denotes departure from such a regime. Reclosure denotes the formation of a viable successor organization, while regeneration denotes continuing production of viable successors. The framework preserves the established physical primacy of the Navier-Stokes equations, kinetic-energy transfer, viscous dissipation, instability theory, coherent-structure analysis, and statistical turbulence theory. Its proposed contribution is an integrated diagnostic program that distinguishes energy transfer from structural inheritance, parent disappearance from genealogical extinction, boundary permeability from boundary failure, and dissipation from loss of recoverable macroscopic organization. A multicomponent closure profile is introduced: The profile is not proposed as a universal invariant. It is a task-dependent family of diagnostics whose usefulness must be established through matched surrogate fields, genealogy tracking, predictive comparison, and intervention. The manuscript develops operational protocols for structure detection, boundary measurement, scale-space transfer, closure degradation, intermittency, transition, relaminarization, reduced-order modeling, and control. The central testable hypothesis is that turbulent persistence depends not only on the amount of kinetic energy present, but also on whether structures and process states generate viable successors rapidly enough to replace the organization continually lost through transfer, deformation, and dissipation. The framework should be retained only where its diagnostics provide reproducible information beyond established energetic and statistical variables. Keyword Turbulence; coherent structures; closure; coherence; energy cascade; intermittency; turbulent interfaces; structure genealogy; reclosure; regeneration; relaminarization; reduced-order modeling; flow control.