MOND作为SIV理论的一个特例
MOND as a peculiar case of the SIV theory
AI总结：
本文证明尺度不变真空（SIV）理论在弱场极限下可导出MOND，并揭示a0参数对应于牛顿与SIV动力学加速度的平衡点，从而无需暗物质即可解释星系动力学和宇宙加速膨胀。
摘要：
尺度不变理论在保持广义相对论基本物理性质的同时，扩大了支撑引力理论的不变性群（Dirac 1973；Canuto等人1977）。尺度不变真空（SIV）理论假设，作为规范条件：“宏观空空间是尺度不变的、均匀的且各向同性的”。本文考察了Weyl可积几何和余张量分析中与标量-张量理论相关的一些基本性质。可能的尺度不变效应在宇宙学层面和局部层面都被物质密度强烈抑制。当尺度因子取为常数时，SIV的弱场极限趋近于MOND，这一近似在过去4亿年内有效（误差<1%）。由此获得了对a0参数的更好理解：它对应于牛顿动力学加速度与SIV动力学加速度的平衡点。参数a0不是一个普适常数，它取决于宇宙的密度和年龄。与MOND一样，SIV理论避免了对暗物质的引入，此外其宇宙学模型预言了加速膨胀。
英文摘要：
The scale invariant theory is preserving the fundamental physical properties of General Relativity, while enlarging the group of invariances subtending gravitation theory (Dirac1973; Canuto et al.1977). The Scale Invariant Vacuum (SIV) theory assumes, as gauging condition, that:"The macroscopic empty space is scale invariant, homogeneous and isotropic". Some basic properties in Weyl's Integrable Geometry and cotensor calculus are examined in relation with scalar-tensor theories. Possible scale invariant effects are strongly reduced by matter density, both at the cosmological and local levels. The weak feld limit of SIV tends to MOND, when the scale factor is taken as constant, an approximation valid (<1%) over the last 400 Myr. A better understanding of the a0-parameter is obtained: it corresponds to the equilibrium point of the Newtonian and SIV dynamical acceleration. Parameter a0 is not a universal constant, it depends on the density and age of the Universe. As MOND is doing, SIV theory avoids the call to dark matter, moreover the cosmological models predict accelerated expansion.
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。
