Universal Metric Mismatch (UMM) v4.0(Revised): A Rigorous Computational Framework for Gravitational Anomalies Without Non-Baryonic Matter

Revision Notes (UMM v4.0 Update):This updated version synchronizes the computational implementation with the refined theoretical framework of the Universal Metric Mismatch (UMM) theory. Key improvements include:Theoretical Parameter Alignment: The metric resonance invariant (alpha) is now set to its fundamental value of 1.024, derived from the 144-node stability condition on a 3-sphere (S3).Scale Invariance: The spatial scale constant (lambda) is precisely calibrated to 8.8541878, establishing a direct link between topological graininess and vacuum permittivity.Enhanced Empirical Accuracy: Re-calculation of M31, M33, and Coma Cluster dynamics shows superior alignment with observational data using the updated invariants.Intellectual Property Clauses: Explicit terms have been added to the licensing section to prohibit the undisclosed or non-public integration of the UMM algorithmic logic into proprietary frameworks.All numerical results and the provided Python core (Listing 1) now reflect the stabilized v4.0 theoretical constants.