脉冲在超晶格中的传播
Pulse propagation in a hyper-lattice
摘要：
研究了一系列空间维数从1到4的格子状结构的经典动力学和脉冲传播，其中4维表示超格子。格子是一维的不同长度的波动轴承系统连接，可以照亮高维结构的某些方面。短脉冲在任意点发射，在整个结构中回响，并在另一点检测到。增加维度的一些方面的说明，特别强调从三个到四个空间维度的过渡。在一个假设的四维世界中，只有三个是可观察的，经典的守恒定律和因果关系不成立。因果关系的缺乏在维度的每一步都通过显示来自下一个更高维度的意外脉冲返回来说明。
英文摘要：
The classical dynamics and pulse propagation are presented for a series of lattice-like structures whose spatial dimensionality ranges from one to four: four representing a hyper lattice. The lattices are connected one-dimensional wave bearing systems of varying lengths and can illuminate some aspects of higher dimension structures. Short pulses are launched at an arbitrary point, reverberate throughout the entire structure, and detected at another point. Some aspects of increasing dimensionality are illustrated with particular emphasis on the transition from three to four spatial dimensions. In a hypothetical four dimension world where only three are observable, the classical conservation laws and causality do not hold. The lack of causality is illustrated at each step in dimensionality by showing the unexpected pulse returns from the next higher dimension.
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