空间非线性连续介质力学与光介质概念
On the Nonlinear Continuum Mechanics of Space and the Notion of Luminiferous Medium
摘要：
我们证明，线性化时，不可压缩的弹性连续体的控制方程产生麦克斯韦方程作为推论。通过对参考描述和局部描述的明智区分，建立了材料不变性原理，并证明它是一个真正的协变性原理，而不像洛伦兹协变性原理，它只适用于直线相对运动中的非变形标架。因此，本文建立，电动力学可以得到充分的解释，如果一个假设，它是一个基本的弹性材料，我们称之为metacontinuum的内力的表现。新的框架无关制定电动力学的洛伦兹力纳入法拉第定律的一个组成部分，而不是作为一个额外的经验变量。如果在麦克斯韦位移电流中分别加上上随体导数，则可以解释毕奥-萨伐尔定律和奥斯特-安培定律。物质不变性的直接推论是模型的伽利略不变性。本文还讨论了绝对连续谱的可能探测。首先，用修正的Bohr-Rydberg公式重新检验了著名的Ives和Stilwell实验，证明了该结果与绝对介质的存在完全一致。第二，提出了一种新的干涉测量实验，其中一阶多普勒效应可以被测量，从而可以明确地建立在静止介质的存在。
英文摘要：
We prove that, when linearized, the governing equations of an incompressible elastic continuum yield Maxwell's equations as corollaries. Through judicious distinction between the referential and local descriptions, the principle of material invariance is established and shown to be a true covariance principle, unlike the Lorentz covariance, which is valid only for non-deforming frames in rectilinear relative motion. Thus, this paper establishes that electrodynamics can be fully explained if one assumes that it is the manifestation of the internal forces of an underlying elastic material which we term the metacontinuum. The new frame-indifferent formulation of electrodynamics is shown to incorporate the Lorentz force as an integral part of Faraday's law, rather than as an additional empirical variable. Respectively, if the upper-convected derivative is added in Maxwell's displacement current it can explain Biot-Savart's and Oersted-Ampere's laws. An immediate corollary of the material invariance is the Galilean invariance of the model. The possible detection of the absolute continuum is also discussed. First, the famous experiment of Ives and Stilwell is reexamined with a modified Bohr-Rydberg formula for the emitted frequencies from a moving atom, and it is shown that the results are fully compatible with the presence of an absolute medium. Second, a new interferometry experiment is proposed in which the first-order Doppler effect can be measured, and thus the presence of a medium at rest can be unequivocally established.
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