A Fractally Scaled Superfluid Universe: Eliminating Ad-Hoc Constants Through Sequential Hydrodynamics

This paper presents a complete mathematical and architectural restructuring of the Universal Model Protocol v2.41. Historically, alternative hydrodynamic models of the cosmos have faced skepticism due to circular definitions or parameters that appeared fine-tuned (ad-hoc) to fit existing empirical data. To resolve this, we have fully decoupled the framework's mathematical engine. Every core equation—spanning quantum mechanics, thermodynamics, atomic limits, and galactic scaling—has been re-engineered to flow sequentially from exactly four independent foundation constants (\(c\), \(ρ f\), \(α \), and \(mₑ\)). This structure guarantees zero circular reasoning and ensures absolute internal consistency within the digital engine. By treating the spacetime continuum as a crystalline superfluid lattice rather than an empty vacuum, we demonstrate that major cosmological phenomena—such as the Strong Nuclear Force (via local Venturi collapse), Newton's \(G\), Boltzmann's Constant, and Cosmic Microwave Background (as a stationary thermal lattice echo)—can all be derived fractally from the precise geometry of a single hydrogen atom. Just as fluid dynamics remain identical whether observing water in a kitchen glass or open ocean currents, this model scales seamlessly from sub-atomic solitons to galactic super-pumps. While internal logical and computational stability has been achieved within our code simulations, this work is treated as an open-source, collaborative research project. The author maintains a non-dogmatic stance and cannot guarantee that every unrounded decimal parameter reflects absolute reality with 100% precision. Therefore, we openly invite physicists, mathematicians, and independent researchers to scrutinize, stress-test, and attempt to either provably validate or falsify this sequential framework. Our goal is not to aggressively displace existing paradigms, but to offer a clean, intuitive, and unified alternative to modern physics' burden of unexplained free parameters. Appendix: Version Control & Mathematical Sanction Log To ensure full transparency for the academic community, the following structural updates have been deployed to improve the model's internal coherence: Decoupling of Circular Parameters: Resolved the mutual dependencies between the Lattice Wave Speed (\(cₘₐₓ\)) and the Cosmostatic Base Pressure (\(P₀\)). All medium and space-time parameters now flow strictly forward from the four independent foundation constraints. Dimensional Clean-up: Eliminated redundant ad-hoc dimensions and static coefficients (such as the chiral flux factor \(κ = 1 m1.5\)) from core calculations to isolate pure geometric ratios. Fractional Simplification: Mathematically canceled out systemic scaling artifacts across the thermodynamic and gravitational derivations, reducing Boltzmann's (\(kB\)) and Newton's (\(G\)) functions to clean, non-redundant hydrodynamically isolated expressions. Verifiable Sensitivity Alignment: Transformed the atomic limit (Element 137) and Coulomb force collapse into explicit, non-imaginary mechanical structures, revealing an exact \(α ⁵\) power-scaling sensitivity that has been successfully mapped and validated via numerical Python execution.