The Zipped Interaction Parameter Theory (ZIPT): A Structural Solution to the Missing Mass Problem

The "Missing Mass" problem in galaxies and clusters has traditionally invoked invisible Dark Matter to reconcile observed rotation curves and gravitational lensing with baryonic mass. This manuscript presents the Zipped Interaction Parameter Theory (ZIPT), a geometrical framework that resolves this discrepancy through a fixed, non-local spacetime offset rather than invisible matter. Core Proposal: ZIPT introduces the "Zwanenburg Degree" ($\zeta_Z$), a rigid vacuum constraint coupled to baryonic mass. Unlike scalar-tensor theories or MOND, ZIPT treats this offset not as a dynamical field or a modification of inertia, but as a structural property of spacetime stiffness. Key Achievements: Galactic Dynamics: Derives exact flat rotation curves as a necessary structural consequence of the Zipped Metric. Gravitational Lensing: Reproduces the expanded Einstein Ring radii observed in strong lensing without Dark Matter halos. Cosmology: Preserves the standard FLRW expansion history and mass budget ($\Omega_m \approx 0.3$) by identifying the structural energy cost of the offset as the apparent "Dark Matter" component. Falsifiability: The theory predicts a zero-scatter Radial Acceleration Relation (RAR), specific scale-dependent shear profiles distinguishable from NFW halos, and calculable asymptotic signatures in the outer Solar System. This document represents the conceptually locked framework of ZIPT, offering a falsifiable, covariant unification of galactic dynamics and cosmology with zero additional particle degrees of freedom. Dark Matter Alternative Modified Gravity ZIPT Galactic Rotation Curves Gravitational Lensing Cosmology Spacetime Structure Missing Mass Problem Radial Acceleration Relation Tully-Fisher Relation Theoretical Physics Zwanenburg Degree