复洛伦兹力的结果和洛仑兹规范条件的破坏
The consequences of complex Lorentz force and violation of Lorenz gauge condition
摘要：
引入复洛伦兹力，并将其推广到磁标量。这个标量被发现是与一个占主导地位的磁场渗透整个空间。在洛仑兹复力中引入了一个附加力。磁标量与真空能量有关。从扩展的电流密度变换导出了Proca-Maxwell的大质量电动力学。Proca-Maxwell理论在扩展的规范变换（电流-电荷密度）下是不变的。洛伦兹规范条件表示光子电荷守恒。任何违反洛伦兹规范（光子电荷）或电子电荷守恒的行为都会导致自旋为零的标量粒子。这表现在超导性上。包含电子和光子的总电荷总是守恒的。由于超导性，光子电荷与电子电荷通过$e_p=\sqrt{\frac{m_p}{m_e}}\,\,e$相关。超导体中的光子被证明是巨大的。指出用复数形式表示的麦克斯韦方程组更便于研究对偶变换。
英文摘要：
The complex Lorentz force is introduced and extended to include magnetic scalar. This scalar is found to be associated with a prevailing magnetic field permeating the whole space. It also introduce an extra force in Lorentz complex force. The magnetic scalar is associated with the vacuum energy. The Proca-Maxwell's massive electrodynamics is derived from the extend current-density transformations. Proca-Maxwell's theory is found to be invariant under the extended gauge transformations (current-charge density). The Lorenz gauge condition is shown to express the photon charge conservation. Any violation of Lorenz gauge (photon charge) or electronic charge conservation would lead to spin zero scalar particles. This is manifested in superconductivity. The total charge comprising the electron and photon is always conserved. Owing to superconductivity, the photon charge is related to electron charge by $e_p=\sqrt{\frac{m_p}{m_e}}\,\,e$. Photons inside superconductors are shown to be massive. It is shown that Maxwell's equations expressed in complex form are more convenient to study duality transformations.
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