构造广义几何的Euclidean geometry算法
Euclidean geometry as algorithm for construction of generalized geometries
摘要：
它表明，广义几何可以得到作为变形的正常欧几里德几何。构造真欧几里德几何E的任何命题S的算法可以用欧几里德世界函数sigma_E以S（sigma_E）的形式来描述。用几何G的世界函数sigma代替欧几里得世界函数sigma_E，得到广义几何G的相应命题S（sigma）。这种广义几何（称为T-几何）的构造使用了适当的欧几里德几何的众所周知的算法，除此之外什么也没有。这种几何构造方法简单有效。用T-几何作为时空几何，可以构造出自由粒子和几何化粒子质量的原始随机运动的确定性时空几何。这样一种定义恰当的时空几何（以量子常数作为几何的一个属性）允许人们解释量子效应，作为随机粒子运动的统计描述的结果（不使用量子原理）。
英文摘要：
It is shown that the generalized geometries may be obtained as a deformation of the proper Euclidean geometry. Algorithm of construction of any proposition S of the proper Euclidean geometry E may be described in terms of the Euclidean world function sigma_E in the form S(sigma_E). Replacing the Euclidean world function sigma_E by the world function sigma of the geometry G, one obtains the corresponding proposition S(sigma) of the generalized geometry G. Such a construction of the generalized geometries (known as T-geometries) uses well known algorithms of the proper Euclidean geometry and nothing besides. This method of the geometry construction is very simple and effective. Using T-geometry as the space-time geometry, one can construct the deterministic space-time geometries with primordially stochastic motion of free particles and geometrized particle mass. Such a space-time geometry defined properly (with quantum constant as an attribute of geometry) allows one to explain quantum effects as a result of the statistical description of the stochastic particle motion (without a use of quantum principles).
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