A stable, traversable wormhole can be held open by the simple geometry of a spiral without needing any exotic negative energy.
April 23, 2026
Original Paper
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
SSRN · 6351698
The Takeaway
General relativity models previously required a hypothetical, impossible substance to hold a wormhole open. This new solution uses the intrinsic torsion of a logarithmic-spiral tube to provide the necessary outward pressure. It suggests that the fabric of space can be curved into a shortcut between distant points using only regular matter and gravity. This discovery bypasses Hawking’s chronology protection and moves wormholes from science fiction toward mathematical possibility. It redefines the limits of what general relativity allows for the future of interstellar travel.
From the abstract
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