微观世界中粒子动力学的不完备性和克服这种不完备性的基本粒子骨架概念
Incompleteness of the particle dynamics in microcosm and the skeleton conception of elementary particles as overcoming of this incompleteness
摘要：
本文考虑了基本粒子的骨架概念。传统的粒子动力学是以一种未完成的形式来表述的，它只适用于连续的时空几何。传统的质点运动微分方程不能用离散的时空几何来表示。在离散时空几何中，粒子世界线被世界链取代。世界链链接有一个有限的长度（而不是无穷小）。世界链似乎是随机的。随机世界链的统计描述导致薛定谔方程，如果以适当的方式选择几何的基本长度。量子原理是由离散（和多元）时空几何的存在建立的，失去了主要物理原理的作用。在骨架概念中，粒子由它的骨架（几个刚性连接的时空点）来描述。基本粒子的骨架概念实现了粒子态的正确描述，这在离散时空几何中似乎是足够的。粒子动力学是一个一元论的概念，完全用时空几何的世界函数来描述。骨架概念实现了从非相对论物理向相对论物理的过渡，实现了粒子动力学的全面几何化。
英文摘要：
The skeleton conception of elementary particles is considered in the paper. Conventional particle dynamics is formulated in an unaccomplished form, which is adequate only in the continuous space-time geometry. The conventional differential equations of the particle motion cannot be written in the discrete space-time geometry. In the discrete space-time geometry the particle world line is replaced by the world chain. The world chain links has a finite length (not infinitesimal). The world chain appears to be stochastic. Statistical description of stochastic world chains leads to the Schrödinger equation, if the elementary length of the geometry is chosen in a proper way. The quantum principles are founded by existence of the discrete (and multivariant) space-time geometry and lose the role of prime physical principles. In the skeleton conception the particle is described by its skeleton (several rigidly connected space-time points). Skeleton conception of the elementary particles realizes a proper description of the particle state, which appears to be adequate in a discrete space-time geometry. The particle dynamics takes the form of a monistic conception, which is described completely in terms of the world function of the space-time geometry. The skeleton conception accomplishes the transition from nonrelativistic physics to the relativistic one and realizes the total geometrization of particle dynamics.
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