Cosmological Scaling of the MOND Acceleration Parameter: Implications for Galactic Dynamics and the Dark Sector

Abstract: This work presents a fundamental shift in galactic and cosmological dynamics by proposing that the Milgromian acceleration constant, a₀, is not a static fundamental constant, but a dynamic emergent property of the cosmic substrate. By establishing a direct scaling relation between local gravitational anomalies and the global expansion rate—defined as a₀ (z) = c H (z) —this paper resolves the long-standing tension between Modified Newtonian Dynamics (MOND) and General Relativity without the requirement for non-baryonic Dark Matter. Core Theoretical Contributions: The Informational Tension Tensor (_): We introduce a new mathematical framework where spacetime is viewed as an informational substrate. Gravitational effects are described not as the curvature of "empty" space, but as the result of informational tension and flow originating from a zero-dimensional (0D) source of maximum potential. Dynamic Scaling of a₀: We demonstrate that the "stickiness" observed in galactic rotation curves is a localized manifestation of the Hubble flow. This eliminates the "fine-tuning" problem of MOND by tethering the acceleration scale to the evolving energy density of the universe (H). The Quasi-Static Limit: The paper outlines how the universe maintains structural integrity through a focused, quasi-static balance between the 0D potential and the expansive flow, providing a new derivation for the transition from Newtonian to Milgromian regimes. Methodology: The framework utilizes a synthesis of scalar field theory and informational entropy. By recalibrating the "bitrate" of the vacuum substrate, we align the mathematical predictions of the model's successes (such as Large Scale Structure) with the observational precision of MOND at galactic scales. Conclusion: This work invites a "Great Recycling" of current astrophysical infrastructure. By shifting the focus from the search for "Dark" particles to the study of Cosmic Flow and Substrate Resonance, we provide a pathway for a unified physics that harmonizes the quantum and cosmological scales. This transition marks the end of the "Dark Age" of invisible entities and the beginning of a "Light Age" of informational clarity and free-flowing potential.