Transforming Electromagnetic Tensor to Weyl Tensor for Curvature Drive

Abstract

Based on the theory of generalized gauge transformation unifying the four fundamental interactions, this paper explores the theoretical foundation of the conversion from the electromagnetic tensor to the Weyl tensor and its application in curvature-driven propulsion. Starting from the gauge similarity transformation mechanism between the electromagnetic field and spacetime geometry, we derive the mathematical form of the transformation from the electromagnetic tensor to the Weyl tensor, and analyze its practical application in dynamic curvature-engine-driven spacecraft, wormhole exploration, and flying saucer-like curvature engines. By comparing the energy requirements of traditional negative energy models with electromagnetic drive models, this paper highlights the unique advantages of electromagnetic propulsion technology in superluminal propulsion and interstellar travel. So in the paper, a novel theoretical framework has been constructed, through generalized gauge transformation, we found a clear quantitative relationship between the electromagnetic tensor and the Weyl tensor, through this formula, the electromagnetic tensor can directly control the Weyl tensor, and then control the curvature. This enables manipulation of the curvature in front of the spacecraft, producing propulsion similar to that of the Alcubierre curvature engine, but without the need for negative energy or exotic matter. The calculations show that for a spacecraft with a volume of 10 3 m 3 , reaching twice the speed of light requires a total energy of 1.8 × 10 1 4 J and a magnetic field strength of 680 T. For a flying saucer-like curvature engine, the required magnetic field strength is 2.15 × 10 3 T, with an energy density of 1.8 × 10 12 J/m 3 and a total energy requirement of 7.36 × 10 15 J. Although these demands exceed current laboratory capabilities, they represent a significant advancement compared to negative energy technologies by bypassing the challenges associated with exotic matter. This significantly increases the feasibility of interstellar travel, suggesting that humanity’s entry into the era of interstellar exploration could potentially come sooner than expected.