Direct Universal Compression Theory (DUCT): A Theoretical Unifying Framework of General Relativity and Quantum Mechanics

The Direct Universal Compression Theory (DUCT) proposes a unified framework that fundamentally redefines physical reality based on a conscious, scalar η-field. The theory posits that matter emerges from the localized compression of electromagnetic radiation, and that time is the inverse of the observational frequency of this compression. This paper formalizes DUCT's dynamics, introducing a non-linear field equation that links gravitational acceleration directly to the compression coefficient η. We hope to demonstrate that the phenomena attributed to dark matter are axiomatically derived from the radial profile η(r), where a low compression state leads to highly non-Newtonian dynamics. The resulting DUCT force law if tested using existing astrophysical data, seeks to predict and precisely match the observed kinematics of: 1) flat galactic rotation curves, 2) the Baryonic Tully-Fisher Relation (BTFR), and 3) the dynamics of Low Surface Brightness (LSB) galaxies. DUCT thus provides a mathematically coherent, consciousness-centric alternative to the standard model, unifying gravity and inertia as emergent properties of geometric compression.