Causal Lorentzian Theory of Gravitation: Rotating Compact Objects and Black Hole Dynamics

We develop a causal, energy-conserving field theory of gravitation based on Velocity-Dependent Conformal Lorentz Transformations (VCLT), here referred to as Causal Lorentzian Theory (CLT). This framework models gravity as a finite-speed vector field, reproduces Newtonian and weak-field limits, and enables detailed investigation of rotating compact objects, magnetized accretion disks, and relativistic jets. Analytical derivations, numerical simulations, and observational predictions are presented, including magnetic shielding effects, orbital instabilities, and jet collimation. CLT provides a physically transparent, causally consistent approach to black hole dynamics and offers testable predictions for astrophysical observations.