This paper is part of the Big Flare-Up Theory (BFUT) framework, which begins from the proposition that space is physically infinite and that matter exists and organizes within that infinite space. Within that setting, this paper advances a specific dynamical claim: rotation and orbit are not exceptional local phenomena but recurrent, scale-extending outcomes of gravitational organization. From subatomic structure to moons orbiting planets, planets orbiting stars, stars orbiting galactic centers, and galaxies participating in larger-scale motions, the observed universe already exhibits a hierarchical progression of angular organization. The central question addressed here is therefore not whether rotation exists, but whether there is any scientific basis for assuming that this progression should terminate at some arbitrary large scale.The paper develops a theoretical argument that rotation and orbit are the most durable self-preserving dynamical outcomes for matter in an infinite matter-filled universe, and supports that argument with published observational evidence and simulation results. Confirmed galaxy-cluster rotation at radii of order 1 to 1.5 Mpc already implies characteristic periods of roughly 24 billion years in the cleanest directly usable case, and tens of billions of years in broader Mpc-scale cluster rotation estimates, well beyond the standard cosmological age of 13.8 billion years. To formalize this pressure, the paper introduces a simple Tension Index, TI = T / 13.8 Gyr, where T is the characteristic rotational period. For directly usable cluster-scale cases such as Abell 2107, TI exceeds 1, meaning the system has not had sufficient time to complete even one full rotation within the standard cosmic-age framework. Historically published supercluster-scale rotational interpretations imply still larger characteristic timescales if taken at face value, far beyond the standard cosmological age, although these are best treated as suggestive rather than modern consensus measurements. Modern observations of cosmic filament spin further show that angular momentum is already detected on structures extending hundreds of millions of light-years, even where the presently measurable motion is axial rather than a fully mapped large-radius orbit. These results do not yet provide a complete tens-of-Mpc single-object orbital solution, but they already establish that angular organization extends far beyond galaxy scale.The paper argues that this is not a trivial compatibility issue for the standard expansion-first framework. A large-scale rotational structure is not merely a snapshot of instantaneous motion; it is a dynamically selected configuration whose physical meaning depends on the existence of a cosmological environment capable of sustaining its continued evolution. If the characteristic rotational timescale of such a structure already exceeds the standard cosmic age by a large factor, and if the structure must also have begun forming when the universe was younger still, then the standard model must explain not only how the structure formed with even less available time, but also, if later enlargement by expansion is invoked, how it preserved coherence while being differentially stretched across radii subject to different recessional velocities, and how the enlarged structure remained materially self-consistent without an ad hoc source of dynamically relevant added matter. In this sense, increasingly large coherent rotation is not merely a prediction of BFUT; it is also a potential diagnostic of an infinite or far older universe than allowed by a 13.8 Gyr expansion-first interpretation.Accordingly, the paper makes a strong, testable prediction: as observational depth and velocity-field mapping improve, increasingly larger coherent rotational hierarchies will be identified beyond presently confirmed scales, and these discoveries will progressively intensify the tension between observed large-scale angular organization and the finite-age assumptions of the standard cosmological model. The accompanying simulation supports the narrower dynamical claim that gravitational interaction naturally produces emergent orbital capture and stable binary-style rotational organization without any imposed expansion field, consistent with the broader BFUT expectation that angular hierarchy is a natural and recurring consequence of matter existing in infinite space.
V. K. Sharma (Tue,) studied this question.