The Scale Invariant Vacuum (SIV) theory rests on the basic hypothesis that the macroscopic empty space is scale invariant. This hypothesis is applied in the context of the Integrable Weyl Geometry, where it leads to considerable simplifications in the scale covariant cosmological equations. After an initial explosion and a phase of braking, the cosmological models show a continuous acceleration of the expansion. Several observational tests of the SIV cosmology are performed: on the relation between $H_0$ and the age of the Universe, on the $m-z$ diagram for SNIa data and its extension to $z=7$ with quasars and GRBs, and on the $H\left(z\right)$ vs. z relation. All comparisons show a very good agreement between SIV predictions and observations. Predictions for the future observations of the redshift drifts are also given. In the weak field approximation, the equation of motion contains, in addition to the classical Newtonian term, an acceleration term (usually very small) depending on the velocity. The two-body problem is studied, showing a slow expansion of the classical conics. The new equation has been applied to clusters of galaxies, to rotating galaxies (some proximities with Modifies Newtonian Dynamics, MOND, are noticed), to the velocity dispersion vs. the age of the stars in the Milky Way, and to the growth of the density fluctuations in the Universe. We point out the similarity of the mechanical effects of the SIV hypothesis in cosmology and in the Newtonian approximation. In both cases, it results in an additional acceleration in the direction of motions. In cosmology, these effects are currently interpreted in terms of the dark energy hypothesis, while in the Newtonian approximation they are accounted for in terms of the dark matter (DM) hypothesis. These hypotheses appear no longer necessary in the SIV context.

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尺度不变真空（SIV）理论：暗物质和暗能量的可能起源

尺度不变真空（SIV）理论基于宏观空空间是尺度不变的基本假设。此假设适用于可积Weyl几何的情况，它导致比例协变宇宙学方程式的显着简化。在初次爆炸和制动阶段之后，宇宙学模型显示了膨胀的持续加速。进行了SIV宇宙学的几种观察测试： $H_0$ 和宇宙的年龄 $米-ž$ SNIa数据及其扩展图 $ž=7$ 与类星体和GRB，以及 $H（ž）$ 与z关系。所有比较都表明SIV预测和观察结果之间有很好的一致性。还给出了对红移漂移未来观测的预测。在弱场近似中，除了经典的牛顿项外，运动方程还包含取决于速度的加速度项（通常非常小）。研究了两体问题，显示了经典圆锥曲线的缓慢扩展。新的方程式已应用到星系团，旋转的星系（注意到一些近距离的修改牛顿动力学，MOND），银河系中速度散布与恒星年龄的关系以及恒星的增长。宇宙中的密度波动。我们指出了SIV假设在宇宙学和牛顿近似中的机械作用的相似性。在这两种情况下，它都会在运动方向上产生额外的加速度。在宇宙学中，这些影响目前是根据暗能量假设来解释的，而在牛顿近似中，它们是根据暗物质（DM）假设来解释的。这些假设在SIV上下文中似乎不再必要。