外尔几何，时空拓扑学和电磁势的实在性，以及粒子物理学的新观点
Weyl geometry, topology of space-time and reality of electromagnetic potentials, and new perspective on particle physics
摘要：
在Weyl几何中研究了Weyl自然规范、Lorentz规范和非线性规范的一致性。广义Weyl-Dirac理论中的场方程表明，无自旋的电子和光子是拓扑缺陷。讨论了三维空间中以时间作为空间关系度量的统计度量和涨落度量，提出了麦克斯韦场方程组的统计解释。有人认为，物理几何是数学几何的近似，而4D相对论时空本质上是具有变化空间关系的3D空间。本文的工作对基本粒子物理学具有根本性的新观点。
英文摘要：
Consistency of Weyl natural gauge, Lorentz gauge and nonlinear gauge is studied in Weyl geometry. Field equations in generalized Weyl-Dirac theory show that spinless electron and photon are topological defects. Statistical metric and fluctuating metric in 3D space with time as a measure of spatial relations are discussed to propose a statistical interpretation of Maxwell field equations. It is argued that physical geometry is an approximation to mathematical geometry, and 4D relativistic spacetime is essentially 3D space with changing spatial relations. The present work is suggested to have radical new outlook on elementary particle physics.
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