形变原理与物理学的进一步几何化
Deformation principle and further geometrization of physics
摘要：
时空几何被认为是一种物理几何，即完全由世界函数描述的几何。所有的几何概念和几何对象都取自适当的欧几里德几何。它们通过欧几里德世界函数σ_E表示，并被声明为任何物理几何的概念和对象，只要欧几里德世界函数σ_E被所讨论的物理几何的世界函数σ所取代。物理几何的集合比黎曼几何的集合更强大，人们需要选择一个真正的时空几何。一般来说，物理几何是多变量的（有许多向量与给定向量等价，但它们之间不等价）。当物理体形式的基本几何对象物理存在的可能性由时空几何决定时，多元性允许人们将量子效应描述为几何效应，并将基本粒子的存在视为几何问题。多变量允许一个描述离散和连续的几何形状，使用相同的技术。使用物理几何学可以使人们认识到量子理论和基本粒子理论的几何方法。
英文摘要：
The space-time geometry is considered to be a physical geometry, i.e. a geometry described completely by the world function. All geometrical concepts and geometric objects are taken from the proper Euclidean geometry. They are expressed via the Euclidean world function σ_E and declared to be concepts and objects of any physical geometry, provided the Euclidean world function σ_E is replaced by the world function σof the physical geometry in question. The set of physical geometries is more powerful, than the set of Riemannian geometries, and one needs to choose a true space-time geometry. In general, the physical geometry is multivariant (there are many vectors which are equivalent to a given vector, but are not equivalent between themselves). The multivariance admits one to describe quantum effects as geometric effects and to consider existence of elementary particles as a geometrical problem, when the possibility of the physical existence of an elementary geometric object in the form of a physical body is determined by the space-time geometry. Multivariance admits one to describe discrete and continuous geometries, using the same technique. A use of physical geometry admits one to realize the geometrical approach to the quantum theory and to the theory of elementary particles.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
