Unifying Electromagnetism Gravity and Quantum Geometry via Incompressible Hydrodynamics

We present a unified field theory based on the hydrodynamics of an inviscid, incompressible, director-bearing fluid substrate. We demonstrate that Relativistic kinematic effects emerge naturally from circulation conservation: proper time dilation is derived as a function of fluid circulation, while effective mass arises from rotational kinetic energy density. We identify the photon not as a point particle, but as a propagating torsion wave (shear wave) within this substrate, predicting a vacuum Faraday effect recently supported by experimental data on optical magnetic torques (Assouline & Capua, 2025). Furthermore, we show that steady-swirl Euler pressure gradients yield a short-range $1/r^3$ force for filamentary $v_^3$, , and that the fundamental electron scales ($r_e, .