引力磁理论与自由电磁场动力学下的旋量量子力学扩展
Extension of Theory of Gravitomagnetism and Spinor Quantum Mechanics with Dynamics of Free Electromagnetic Field
AI总结：
本文通过引入自由电磁场的拉格朗日密度扩展了引力磁理论与旋量量子力学，证明了新增项对于恢复对称能量-动量张量的必要性，并指出理论形式与构建路径无关，纠正了先前的研究结论。
摘要：
描述Dirac旋量场、电磁场和弱引力场之间相互作用的引力磁理论与旋量量子力学，通过引入自由电磁场的拉格朗日密度进行了扩展。结果表明，拉格朗日密度中新增的项对于在该理论的相互作用项中恢复对称的能量-动量张量是必要的。我们证明，当缺失电磁能量项时，相互作用拉格朗日密度中的张量并不代表在平坦时空中与电磁场最小耦合的Dirac场的能量-动量张量。此外，由此得出，无论该理论是基于广义协变原理发展而来，还是被定义为将引力场视为类似于电磁场的常规张量场的平坦时空理论，其拉格朗日密度均保持不变。这与先前的发现相矛盾。
英文摘要：
The theory of Gravitomagnetism and spinor quantum mechanics describing the interaction between the Dirac spinor field, the electromagnetic field, and a weak gravitational field is extended by including the Lagrangian density of the free electromagnetic field. It is shown that the newly added term in the Lagrangian density is necessary to restore a symmetric energy-momentum tensor in the interaction term of the Lagrangian density within the theory. We prove that when the electromagnetic energy term is missing, the tensor in the interaction Lagrangian density does not represent the energy-momentum tensor of the Dirac field minimally coupled to the electromagnetic field on flat space-time. Moreover, it follows that the Lagrangian density remains unchanged regardless of whether the theory is developed from the principle of general covariance or is defined as a flat space-time theory with the gravitational field treated as a regular tensor field, in analogy to the electromagnetic field. This contradicts previous findings.
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。
