麦克斯韦方程组的几何化以及引力与反物质的涌现
The Geometrization of Maxwell's Equations and the Emergence of Gravity and Antimatter
AI总结：
通过将麦克斯韦张量与黎曼-克里斯托费尔曲率张量耦合，提出一种几何化电动力学理论，不仅扩展了经典麦克斯韦方程组的物理诠释，还证明了其解与广义相对论框架下引力、暗物质/暗能量及反物质的涌现相一致。
摘要：
将麦克斯韦张量与黎曼-克里斯托费尔曲率张量耦合，被证明可以导出一种几何化的电动力学理论。虽然该几何化理论直接导出了经典的麦克斯韦方程组，但它也扩展了其物理诠释，通过给出电荷密度、质量密度以及描述其运动的四维速度的几何定义来实现。假设存在一个守恒的能量-动量张量，本文证明，此处发展的几何化电动力学理论的所有解，均与引力的涌现相一致，该引力遵循广义相对论场方程，并增加了一个模拟暗物质和/或暗能量性质的项。最后，由于该理论的对称性，反物质的性质与现象学在解中涌现出来。
英文摘要：
Coupling the Maxwell tensor to the Riemann-Christoffel curvature tensor is shown to lead to a geometricized theory of electrodynamics. While this geometricized theory leads directly to the classical Maxwell equations, it also extends their physical interpretation by giving charge density, mass density and the four-velocity that describes their motions geometric definitions. Assuming the existence of a conserved energy-momentum tensor, all solutions to the geometricized theory of electrodynamics developed here are shown to be consistent with the emergence of gravity obeying the General Relativity field equation augmented by a term that mimics the properties of dark matter and/or dark energy. Finally, due to the symmetries of the theory, the properties and phenomenology of antimatter emerge in solutions.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
