Logarithmic-Spiral Tubular Wormholes in Einstein-Cartan-Maxwell Theory: THE END OF THE EXOTIC MATTER PARADIGM, THE TORSIONAL SHIELD THEOREM, AND THE DEFEAT OF HAWKING’S CHRONOLOGY PROTECTION

We announce the discovery of a non-vacuum, static, and dynamically stable traversable wormhole solution that fundamentally shatters the “exotic matter” requirement inherent in General Relativity. By embedding a scaled tubular neighborhood of a three-dimensional logarithmic spiral within the Einstein-Cartan-Maxwell framework, we derive a spacetime metric where the throat’s existence is dictated by the curve’s intrinsic Frenet-Serret curvature (κ) and torsion (τc). We rigorously prove the Rossetti-Geometric Autonomy Theorem: the fundamental existence condition, Eq(22), is structurally decoupled from the axial magnetic potential As(0). This result demonstrates that the wormhole is not a fragile artifact supported by external fields, but a self-sustaining topological necessity of the spiral geometry. The Null Energy Condition (NEC) is not merely violated; it is transmuted by the torsional pressure of the non-Riemannian connection, rendering the century-old search for “exotic fluids” obsolete. The crowning achievement of this work is the definitive solution to the stability problem. Through the derivation of the Radial Master Equation, we reveal an Effective Potential Veff(s) characterized by an insuperable torsional barrier at the throat (s→0). Unlike standard solutions prone to catastrophic collapse, the spiral-torsion coupling generates a positive-definite, divergent shield that immunizes the throat against radial fluctuations. Furthermore, we formalize the principles of Chronodynamics: establishing the exact Frame Dragging condition for bidirectional time travel and proving the Torsional Discharge Limit. We rigorously demonstrate that the quantum vacuum energy divergence at the Cauchy horizon is perfectly absorbed by the non-Riemannian spin-torsion coupling, acting as a geometric capacitor. This eliminates the radial collapse predicted by semiclassical gravity, formally defeating Hawking’s Chronology Protection Conjecture. This concludes the transition from speculative geometry to Torsiodynamics: the formal proof of a topologically eternal and dynamically invulnerable passage through spacetime. This work does not merely add to the literature; it rewrites the fundamental constraints of traversable topology and time travel.