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首页> 外文期刊>Bulletin of the American Physical Society >APS -2017 Fall Meeting of the APS New England Section- Event - The Map of Physics and Missing Phase Equations of Quantum Mechanics
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APS -2017 Fall Meeting of the APS New England Section- Event - The Map of Physics and Missing Phase Equations of Quantum Mechanics

机译：APS -2017年APS新英格兰地区秋季会议-事件-物理图谱和量子力学的缺相方程

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Minkowski's vision was that we would - someday - never think of space without time, nor correspondingly, energy without momentum. One way to enforce the vision is to write physics equations using quaternions that require 4 slots to be filled even if they are zeros. Do this for a number of physics equations,and patterns appear: if a quaternion physics equation has zeros or constants, then that equation is classical. If all the space and time terms are on equal footing, then the equation is relativistic. This rule clarifies why the Schr?dinger equation belongs to classical quantum mechanics, but the Klein-Gordon equation is relativistic quantum mechanics. The need to take a norm is what distinguishes an equation is quantum versus non-quantum. The uncertainty principle derivation uses the Cauchy-Schwarz inequality which requires taking a norm. Applied consistently to the Klein-Gordon equation, a quaternion physics expression insist there should be three more equations that are not part of the canon of modern physics. I have yet to put such equations to productive use, but am willing to point them out.
机译：敏可夫斯基的愿景是，有朝一日，我们永远不会想到没有时间的空间，或者没有动力就没有能量。增强视觉效果的一种方法是使用四元数编写物理学方程，即使四元数为零，四元数也需要填充。对许多物理方程式执行此操作，并出现模式：如果四元数物理方程式具有零或常数，则该方程式为经典方程式。如果所有空间和时间项都处于平等地位，则该方程式是相对论的。该规则阐明了为何薛定er方程属于经典量子力学，而克莱因-哥顿方程则是相对论量子力学。规范的需要是区分方程式的是量子还是非量子。不确定性原理的推导使用了需要采用范数的柯西-舒瓦兹不等式。四元数物理表达式始终如一地应用于Klein-Gordon方程，坚称应该再存在三个不属于现代物理学经典的方程。我还没有将这些等式用于生产，但是愿意指出它们。

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