在宇宙学标度因子与回望时间的模型无关图和标量场模型中观测到离散振荡
Observation of Discrete Oscillations in a Model-independent Plot of Cosmological Scale Factor vs. Lookback Time and a Scalar Field Model
摘要：
我们已经观察到阻尼纵向宇宙尺度振荡在一个独特的模型独立的标度因子对宇宙学时间的Ia型超新星的数据。我们发现了几个一阶导数的相对最大值/最小值跨越范围内的过渡红移报告。这些极值包括2个完整的周期，周期约为0.15哈勃时间（H0 = 68 km/s/Mpc）。这个周期对应于哈勃时间上大约7个周期的基频。文献中引用的过渡-z值通常落在这些最小值附近，并且可以解释所报告的高达约z = 0.77的预测LCDM值的宽范围。我们还观察到基波的二次和三次谐波。采用平滑、傅立叶变换和自相关等方法对比例因子数据进行分析。我们提出一个宇宙学标量场谐振子模型来观测。在这个时间尺度上，对于量子标量场，标量场的质量非常小，为3 × 10 - 32 eV。我们的标量场密度参数精确地取代了弗里德曼方程中的LCDM暗物质密度参数，得到了基本相同的数据拟合，其当前值与普朗克值相匹配。因此这种波基本上是一种暗物质波。因此，我们认为这个标量场表现为暗物质。
英文摘要：
We have observed damped longitudinal cosmological-scale oscillations in a unique model-independent plot of scale factor against cosmological time for Type Ia supernovae data. We found several first-derivative relative maxima/minima spanning the range of reported transition-redshifts. These extrema comprise 2 full cycles with a period of approximately 0.15 Hubble times (H0=68 km/s/Mpc). This period corresponds to a fundamental frequency of approximately 7 cycles over the Hubble time. Transition-z values quoted in the literature generally fall near these minima and may explain the reported wide spread up to the predicted LCDM value of approximately z = 0.77. We also observe second and third harmonics of the fundamental. The scale factor data is analyzed several different ways including smoothing, Fourier transform and autocorrelation. We propose a cosmological scalar field harmonic oscillator model for the observation. On this time scale, for a quantum scalar field, the scalar field mass is extraordinarily small at 3x10-32 eV. Our scalar field density parameter precisely replaces the LCDM dark matter density parameter in the Friedmann equations, resulting in essentially identical data fits, and its present value matches the Planck value. Thus the wave is fundamentally a dark matter wave. We therefore posit that this scalar field manifests itself as the dark matter.
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