The Missing Mass That May Not Be Matter

Natural Evolution of Actuality (NEA) begins with two independently lawful abstract parental principles and a foundational operator that governs consequential joining, admissibility, comparison, and confirmation. Within this framework, emergent spacetime and collective gravitational response do not need to be identified with a primitive force or an inventory of localized particulate matter. The existing mathematical framework contains two distinct galactic-response models: a conserved, effectively two-dimensional radial network flux that scales proportionally with acceleration, and a positive spectral-response law governing how acceleration scales with baryonic mass and radius. By keeping these two mechanisms distinct, we prove their exact mathematical consequences. The conserved-flux model yields a flat, radius-independent circular rotation speed in the outer galactic region. Meanwhile, the spectral-response law produces a unique positive acceleration, a complete finite-radius rotation curve, and an asymptotic flat-rotation relationship where the fourth power of the terminal speed is proportional to the baryonic mass. An exploratory compatibility theorem demonstrates that the outer amplitudes of these two models agree if and only if the conserved network charge satisfies a specific scaling relation tied to the square root of the baryonic mass. Notably, this condition acts as a mathematically precise additional source law rather than an automatic consequence of the foundational axioms. Furthermore, a no-go proposition proves that an everywhere-constant flux cannot reproduce the entire finite-radius rotation curve of a spectral point source. To address this boundary behavior, we construct a new smooth, finite-core network-flux model driven by a positive, integrable planar source. We derive its resulting circular speed and gravitational potential, and we explicitly separate its three-dimensional optical extension from the underlying two-dimensional network law. Additionally, an exact three-site reduction example illustrates that mathematically eliminating an unresolved response site does not erase its dynamical influence on the remaining system. Ultimately, this framework provides rigorous mathematical examples of mass-like dynamical behavior without invoking a particle dark matter halo. However, it does not yet derive the physical flux charge, a unified response generator, the optical metric, the gravitational coupling constant, or empirical galaxy correlations directly from its foundational principles. This work serves as a theory-internal constructive s