用局域以太波方程重新解释物质波干涉实验
Reinterpretation of Matter-Wave Interference Experiments Based on the Local-Ether Wave Equation
摘要：
从自由粒子局域以太波方程出发，研究了物质波的色散。由色散关系导出了物质波的角频率和波长。这些公式看起来就像德布罗意公设与洛伦兹质量变分定律的结合。然而，根本的区别是，对于地球上的粒子，它们的速度是专门指地心惯性系，因此包含了由于地球自转而产生的速度。因此，局域以太模型预测的东西方向的质量和波长的各向异性。同时，局域以太模型不受参考系的限制，可以解释布拉格反射和Sagnac效应的物质波干涉实验。对于电子波，地球自转的影响可以忽略不计，在现有精度范围内，计算得到的布拉格角与Davisson-Germer实验结果一致。另一方面，局域以太模型导致中子衍射的布拉格角方向各向异性。由于地球自转的预测各向异性，然后提供了一种手段来测试本地以太波方程。
英文摘要：
Based on the local-ether wave equation for free particle, the dispersion of matter wave is examined. From the dispersion relation, the angular frequency and wavelength of matter wave are derived. These formulas look like the postulates of de Broglie in conjunction with the Lorentz mass-variation law. However, the fundamental difference is that for terrestrial particles their speeds are referred specifically to a geocentric inertial frame and hence incorporate the speed due to earth's rotation. Thus the local-ether model predicts an east-west directional anisotropy both in mass and wavelength. Meanwhile, in spite of the restriction on reference frame, the local-ether model can account for the matter-wave interference experiments of the Bragg reflection and the Sagnac effect. For electron wave, the effects of earth's rotation are negligible and the derived Bragg angle is actually in accord with the Davisson-Germer experiment, as examined within the present precision. On the other hand, the local-ether model leads to a directional anisotropy in the Bragg angle in neutron diffraction. The predicted anisotropy due to earth's rotation then provide a means to test the local-ether wave equation.
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