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In physical cosmology, the power spectrum of the spatial distribution of the cosmic microwave background is near to being a scale-invariant function. Although in mathematics this means that the spectrum is a power-law, in cosmology the term "scale-invariant" indicates that the amplitude, , of primordial fluctuations as a function of wave number, , is approximately constant, i.e. a flat spectrum. This pattern is consistent with the proposal of cosmic inflation.
 
In physical cosmology, the power spectrum of the spatial distribution of the cosmic microwave background is near to being a scale-invariant function. Although in mathematics this means that the spectrum is a power-law, in cosmology the term "scale-invariant" indicates that the amplitude, , of primordial fluctuations as a function of wave number, , is approximately constant, i.e. a flat spectrum. This pattern is consistent with the proposal of cosmic inflation.
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在21物理宇宙学,宇宙微波背景辐射空间分布的功率谱接近于尺度不变函数。尽管在数学上这意味着光谱是一个幂定律,但在宇宙学中“尺度不变量”这一术语表明,原始涨落的振幅,作为波数的函数,是近似常数,即。一个平坦的光谱。这种模式与宇宙膨胀的提议是一致的。
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在'''Physical Cosmology 宇宙物理学''','''Cosmic Microwave Background 宇宙微波背景'''的空间分布功率频谱近似于标度不变函数。尽管在数学上这意味着该频谱服从幂律,但在宇宙学中“标度不变”一词表明,'''Primordial Fluctuations 原始涨落'''的振幅{{math|''P''(''k'')}},作为波数{{mvar|k}}的函数,是近似常数,也就是一个平谱。这种模式与'''Cosmic Inflation 宇宙膨胀论'''的主张是一致的。
    
==Scale invariance in classical field theory 经典场论中的标度不变性==
 
==Scale invariance in classical field theory 经典场论中的标度不变性==
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