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February 24, 20260 citationsOpen Access

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

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RRRodolfo Rossetti

Key Points

  • This research aims to present a new solution for traversable wormholes without the need for exotic matter.
  • Embed a logarithmic spiral within the Einstein-Cartan-Maxwell framework
  • Derive a spacetime metric based on intrinsic curvature and torsion
  • Prove the Rossetti-Geometric Autonomy Theorem
  • Analyze the Null Energy Condition and its implications
  • Introduce the Torsional Shield Theorem for stability
  • Identified a self-sustaining wormhole structure without external fields
  • Violated and transmuted the Null Energy Condition
  • Established an insuperable potential barrier preventing collapse of the wormhole throat
  • Laid the foundation for Chronodynamics, enabling bidirectional time travel and teleportation

Abstract

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 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 selfsustaining 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. Crucially, we present the solution to the stability problem via the Torsional Shield Theorem: an insuperable potential barrier (Veff → ∞) that immunizes the throat against collapse. Finally, we establish the field of Chronodynamics, 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.

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Cite This Study

Rodolfo Rossetti (2026) studied this question.

synapsesocial.com/papers/699d3fe6de8e28729cf64c8ehttps://doi.org/10.17605/osf.io/43d5e
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