Lorentz Contraction的矢量化表示和它的滤波器解释
首发时间:2005-04-27
摘要:1905年爱因斯坦提出了狭义相对论中的Lorentz收缩-----一个实数域的公式。1959年J. Terrell证明Lorentz收缩等效于一个旋转,并且给出了旋转角度。可以证明,按照光速c和物体运动速度v的特定结合,可以将Lorentz收缩用一个矢量(复数)公式表示。该矢量公式的模是爱因斯坦的公式,角度是Terrell给出的角度。并且该矢量公式有一个简单的物理(电路)解释----一阶高通滤波器。由于Lorentz变换与Lorentz收缩有相同的数学形式,因此狭义相对论可以解释成是对绝对时空的一种滤波效果。
关键词: 狭义相对论; Lorentz收缩; 一阶高通滤波器
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Vector Expression of Lorentz Contraction and Its Filter Interpretation
Abstract:Einstien presented Lorentz contraction in his special relativity in 1905, which is a formula in the real number fields. J. Terrell proved that Lorentz contraction cannot be observed by eyes and it is equivalent to a rotation by an angler. It can be gotten that a complex number (or vector) expression can represent both above formula of Einstein and Terrel by a combination of velocitis of light and body’s moving. The module and angler of this vector expression are Einstein’s and Terrell’s formulas respectively, and this vector one has a simple physical interpretation —— a first order high pass filter. As Lorentz transformation is similar to Lorentz contraction, thus Lorentz transformation has also a filter interpretation: relative space-time = absolute space-time + the state and tool of observing.
Keywords: special reletivity, Lorentz contraction, first order high-pass filter
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