Abstract: Geometric Recalibration of Galactic Masses via Raumvektortheorie (RVT) and the Unified Stellar Kernel (USK) Matrix

Summary: This paper presents a Python-based derivation of the Raumvektortheorie (RVT), providing a geometric solution to the discrepancies in galactic rotation curves that are currently attributed to hypothetical Dark Matter. The core of this derivation is the Unified Stellar Kernel (USK) Matrix, which utilizes a recursive convolution function (usk_position) to define spatial coordinates as a function of convolution intensity ($\alpha$) and projection exponent ($p$). A significant breakthrough is achieved through the RVT Boost Factor ($\gamma$), calculated as a function of the inclination angle ($i$): $\gamma(i) = 1 + 0.8 \cdot \sin(i)$. The simulation demonstrates that the observed mass differences between galaxies such as NGC 891 (edge-on, $i=85^\circ$) and M101 (face-on, $i=18^\circ$) are not material in nature but are caused by projective divergence within the relative Lorentzian ether. Key Simulation Results: NGC 891: A calculated Gamma Boost of 1.797 explains the high rotation velocities geometrically, eliminating the need for Dark Matter. M101: A significantly lower boost of 1.247 illustrates the dependence of observational data on the viewing angle within the USK matrix. Area Distortion: The study quantifies the projection-induced area distortion ($A_{apparent}/A_{actual}$), showing a value of 0.310 for NGC 891 compared to 0.643 for M101. The provided Python scripts allow for a full replication of the 3D convolution spheres and the corrected rotation curves. This evidence confirms that the traditional assumption of 180-degree symmetry leads to systematic measurement errors, which are resolved by the RVT 45-degree calibration mark. RVT-Verification/hammer.ipynb at main · Kratzramanis/RVT-Verification