一组新的Maxwell-Lorentz方程和从量子场论重新发现Heaviside-Maxwellian(矢量)引力
A New Set of Maxwell-Lorentz Equations and Rediscovery of Heaviside-Maxwellian (Vector) Gravity from Quantum Field Theory
摘要:
我们表明,如果我们从自由狄拉克拉格朗日量开始,并要求局部相位不变性,假设总相位来自与带电狄拉克粒子的电荷和质量自由度相关的两个独立贡献,那么我们就不得不为带电狄拉克粒子引入两个无质量的独立矢量场,它们产生了1893年海维赛德引力或麦克斯韦引力的所有电动力学和引力力学并指定由带电狄拉克粒子产生的电荷和质量流。通过这种方法,我们发现:(1)一组新的Maxwell-Lorentz方程,(2)两组等价的引力-Maxwell-Lorentz方程,(3)对电动力学的标准拉格朗日量的引力修正,对于中性质量Dirac粒子,它可简化为引力动力学的拉格朗日量,(4)两个类静态质量之间的吸引相互作用,与许多场理论家的普遍观点相反,(5)自引力系统坍缩过程中产生的引力波携带正的能量和动量,这符合麦克斯韦电磁理论的精神,静态引力电磁场的绝对值是负的,这是由牛顿引力定律及其对Heaviside-Maxwellian引力(HMG)的时间依赖性扩展所决定的。线性化爱因斯坦引力的基本概念问题也进行了讨论。
英文摘要:
We show that if we start with the free Dirac Lagrangian, and demand local phase invariance, assuming the total phase coming from two independent contributions associated with the charge and mass degrees of freedom of charged Dirac particles, then we are forced to introduce two massless independent vector fields for charged Dirac particles that generate all of electrodynamics and gravitodynamics of Heaviside's Gravity of 1893 or Maxwellian Gravity and specify the charge and mass currents produced by charged Dirac particles. From this approach we found: (1) a new set of Maxwell-Lorentz equations, (2) two equivalent sets of gravito-Maxwell-Lorentz equations (3) a gravitational correction to the standard Lagrangian of electrodynamics, which, for a neutral massive Dirac particle, reduces to the Lagrangian for gravitodynamics, (4) attractive interaction between two static like masses, contrary to the prevalent view of many field theorists and (5) gravitational waves emanating from the collapsing process of self gravitating systems carry positive energy and momentum in the spirit of Maxwell's electromagnetic theory despite the fact that the intrinsic energy of static gravitoelectromagnetic fields is negative as dictated by Newton's gravitational law and its time-dependent extensions to Heaviside-Maxwellian Gravity (HMG). Fundamental conceptual issues in linearized Einstein's Gravity are also discussed.
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