AI 中文总结
本文基于多极理论与补偿源模型，研究扩展电动力学（EED）的标量-纵向辐射，推导其全阶多极通量公式，发现补偿极化载流子可激发该通道，结果为EED的条件预测，不违背经典电动力学电荷守恒。
AI 中文摘要
扩展电动力学（EED）不施加洛伦兹规范条件，将标量组合 $C=\nabla\cdot\mathbf{A}+c^{-2}\partial\Phi/\partial t$ 视为动力学场。对于无标量初场的守恒源，$C=0$，该理论退化为经典电动力学；具有非零局域连续性异常的源无麦克斯韦解，但EED仍适定，可支持标量-纵向部分。对于局域源的每个辐射频率，远场分为常规横向麦克斯韦通道与标量-纵向通道，后者含纵向电场、无自身磁场及同传播的 $C$ 场。在本文采用的仅场能量平衡下，时间平均通量无干涉叠加。标量通道仅依赖 $\Lambda=\partial\rho/\partial t+\nabla\cdot\mathbf{J}$，当 $k=\omega/c$ 处的矩非零时辐射；本文推导了该通量的全阶多极公式。束缚极化与磁化源严格守恒电荷，无法激发标量通道；具有全局中性异常表面层的补偿极化载流子可隔离该通道，给出其偶极通量的闭式形式。采用的通量与物理应力-能量张量的关联仍未解决，这些结果是EED的条件预测，不意味着经典电动力学中电荷守恒失效。
英文摘要
Extended electrodynamics (EED) leaves the Lorenz gauge condition unimposed and treats the scalar combination $C=\nabla\cdot\mathbf{A}+c^{-2}\partialΦ/\partial t$ as a dynamical field. For a conserved source with no scalar initial field, $C=0$ and the theory reduces to classical electrodynamics. A source with a nonzero local continuity anomaly has no Maxwell solution, but EED remains well posed and can support a scalar-longitudinal sector. For each radiating frequency of a localized source, the far field separates into the usual transverse Maxwell channel and a scalar-longitudinal channel with a longitudinal electric field, no magnetic field of its own, and a co-propagating $C$ field. Under the field-only energy balance used here, the time-averaged fluxes add without interference. The scalar channel depends only on $Λ=\partialρ/\partial t+\nabla\cdot\mathbf{J}$ and radiates when its moments at $k=ω/c$ are nonzero. An all-orders multipole formula is derived for this flux. Bound polarization and magnetization sources conserve charge identically and cannot excite the scalar channel. A compensated polarized carrier with a globally neutral anomalous surface layer isolates the channel and gives its dipole flux in closed form. The connection between the adopted flux and a physical stress-energy tensor remains unresolved. These results are conditional predictions of EED and do not imply a failure of charge conservation in classical electrodynamics.
Comments30 pages, 5 figures
