从高维空间中的量子化途径看时空量子化
Quantization in Spacetime from Null Paths in Higher Dimensions
摘要：
在时空中类时路径上的大质量粒子可以被看作是在高维流形中的零路径上运动。这个和其他的结果来自于坎贝尔定理的使用，它将4D广义相对论嵌入到非紧化的5D卡鲁扎-克莱因理论中。我们现在证明，从5D中具有零路径的正则度量中获得4D中量子化的标准规则在原则上是可能的。粒子质量可以是波动的，正如狄拉克最初提出的那样，并概述了其他4D/5D结果。
英文摘要：
Massive particles on timelike paths in spacetime can be viewed as moving on null paths in a higher-dimensional manifold. This and other consequences follow from the use of Campbell's theorem to embed 4D general relativity in non-compactified 5D Kaluza-Klein theory. We now show that it is possible in principle to obtain the standard rule for quantization in 4D from the canonical metric with null paths in 5D. Particle mass can be wavelike, as suggested originally by Dirac, and other 4D/5D consequences are outlined.
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