Logarithmic-Spiral Tubular Wormholes in Einstein-Cartan-Maxwell Theory: THE END OF THE EXOTIC MATTER PARADIGM, THE TORSIONAL SHIELD THEOREM, AND THE FOUNDATION OF CHRONODYNAMICS

Logarithmic-Spiral Tubular Wormholes: The Final Solution to Traversable Topology, Teleportation, and Bidirectional Time Travel.We announce the definitive discovery of a non-vacuum, dynamic, and topologically eternal 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 theRossetti-Geometric Autonomy Theorem: the fundamental existence condition, Eq(22), is structurally decoupled from the axial magnetic potentialAs(0). This result demonstrates that the wormhole is not a fragile artifact supported by external fields, but a selfsustaining topological necessity of the spiral geometry. The Null Energy Condition (NEC) is not merely violated; it istransmutedby the torsional pressure of the non-Riemannian connection, rendering the century-old search for “exotic fluids” obsolete.Crucially, we present the solution to the stability problem via theTorsional Shield Theorem: an insuperable potential barrier (Veff → ∞) that immunizes the throat against collapse. Finally, we establish the field ofChronodynamics, proving that controlled rotation (Ω) allows for bidirectional time travel and instantaneous teleportation. This work marks the transition from theoretical geometry to the era of Spacetime Engineering.