从5D“普通”R^2-引力看牛顿定律的太阳系外尺度变化
Extrasolar scale change in Newton's Law from 5D `plain' R^2-gravity
摘要：
银河系自转曲线和缺乏对暗物质的直接观测可能表明广义相对论是无效的（在银河系尺度上），应该用另一种理论来取代。有唯一的变种绝对的degenelism的解决方案是免费的出现奇点，如果D=5（没有改变的余地）。这个变体没有拉格朗日量，也不匹配GR：一个“简单的”R^2-引力方程（即没有R项）是可以看到的。将一个O_4-对称展开解作为五维宇宙模型的基础，并将一个质量分布的普适函数（沿额外维的很长-很长）代入双拉普拉斯方程（R^2引力），可以导出引力定律：1/r^2随距离（而不是加速度）变换为1/r。
英文摘要：
Galactic rotation curves and lack of direct observations of Dark Matter may indicate that General Relativity is not valid (on galactic scale) and should be replaced with another theory. There is the only variant of Absolute Parallelism which solutions are free of arising singularities, if D=5 (there is no room for changes). This variant does not have a Lagrangian, nor match GR: an equation of `plain' R^2-gravity (ie without R-term) is in sight instead. Arranging an expanding O_4-symmetrical solution as the basis of 5D cosmological model, and probing a universal_function of mass distribution (along very-very long the extra dimension) to place into bi-Laplace equation (R^2 gravity), one can derive the Law of Gravitation: 1/r^2 transforms to 1/r with distance (not with acceleration).
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