Building Wormholes Without Exotic Matter

Logarithmic-Spiral Tubular Wormholes Supported by Electromagnetic Fields and Non-Minimal Torsion Coupling in Einstein–Cartan Gravity.

We present an explicit class of traversable wormhole geometries with logarithmic spiral tubular grooves embedded in three-dimensional space. Abandoning spherical symmetry, we use the Frenet–Serret formalism to derive a non-diagonal spatial metric that incorporates intrinsic curvature and torsion. In the Einstein–Cartan framework, we introduce a stationary electromagnetic field non-minimally coupled to the torsion of spacetime. This coupling generates an effective energy-momentum tensor that locally violates the Null Energy Condition (NEC) near the groove. We analytically demonstrate that the spiral geometry acts as a geometric amplifier, reducing energy requirements compared to spherical models. The results suggest that torsion-induced wormholes can be sustained without exotic matter.

DOI: 10.5281/zenodo.18068852
ORCID: 0009-0002-4832-9887

© 2025 Rodolfo Rossetti (Scientific alias: Adam Discendent) Independent Researcher, Italy All rights reserved.

Since 2006, I have been studying electrogravitational torsional fields and their potential applications in wormhole engineering. An independent researcher, I work on theoretical models that unify gravitational and quantum approaches, with a particular focus on the phenomenology of spacetime and its manipulations.