Helix Mechanics: A Unified Field Theory via a 4-Dimensional Chiral Torque-Stress Tensor and Cosmological Saturation Model

To resolve the fundamental incompatibilities between Quantum Field Theory and General Relativity, as well as the infinities arising from the point-particle paradigm, this study presents "Helix Mechanics" constructed on a 4-dimensional Riemann-Cartan torsion manifold. In this framework, static or massive point-particle assumptions are rejected, placing timeless primary chiral helical motion with measurable proper time (dτ=0) at the foundation of physical reality. Singularities are strictly prevented via the structural saturation limit Umax and the non-linear attenuation function K(Ud)=1−(Ud/Umax)2. Through the principle of 120∘ Cathedral Phase Locking (∑τ=0), SU(3) color charge neutrality, SU(2) chiral orientation, and U(1) phase fluctuation are geometrically integrated. Without invoking free parameters or external empirical coupling constants, the proton mass (mp≈938.2721 MeV/c2), neutron-proton mass difference (Δm≈1.2934 MeV/c2), and deuterium binding energy (Eb≈2.2245 MeV) are derived strictly from first principles. Geometric entanglement is formulated via a null-geodesic backbone configuration, thereby fully preserving causality and No-Signaling theorems. On cosmological scales, the acceleration threshold a0=2πcH0≈1.21×10−10 m/s2 and the gravitational lensing offsets in systems like the Bullet Cluster are naturally accounted for by the tension gradient (∇U) of the chiral elastic medium.Note: This version contains both the English original manuscript and the full Turkish version (Helis Mekaniği).