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arXiv 1606.08449hep-thastro-ph.COgr-qc
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多分数维时空中的宇宙微波背景与暴胀

Cosmic microwave background and inflation in multi-fractional spacetimes

Gianluca Calcagni, Sachiko Kuroyanagi, Shinji Tsujikawa

摘要:

我们使用FIRAS和普朗克2015年的数据,将观测边界的暴胀场景在多分数时空与$q$ -衍生物。虽然在几何时间坐标中的幂律展开受到张量-标量比的通常约束,但黑体和标量谱的模型无关最佳拟合产生理论的多重分形测度的自由参数的上限。当描述分形时空几何的测量是非振荡的时,CMB黑体谱的信息对理论的约束独立于但弱于从标准模型、天体物理学引力波和伽马射线暴(GRB)获得的约束。当日志振荡和测量描述了一个离散的分形时空在微观尺度上,我们得到的第一个观测约束的振幅,这样的振荡,并发现,在一般情况下,强约束的多尺度几何和空间的维数。这些结果完成了理论参数空间的扫描和约简。黑体边界也得到了加权导数的理论。

英文摘要:

We use FIRAS and Planck 2015 data to place observational bounds on inflationary scenarios in multi-fractional spacetimes with $q$-derivatives. While a power-law expansion in the geometric time coordinate is subject to the usual constraints from the tensor-to-scalar ratio, model-independent best fits of the black-body and scalar spectra yield upper limits on the free parameters of the multi-fractal measure of the theory. When the measure describing the fractal spacetime geometry is non-oscillating, information on the CMB black-body spectrum places constraints on the theory independent from but weaker than those obtained from the Standard Model, astrophysical gravitational waves and gamma-ray bursts (GRBs). When log oscillations are included and the measure describes a discrete fractal spacetime at microscopic scales, we obtain the first observational constraints on the amplitudes of such oscillations and find, in general, strong constraints on the multi-scale geometry and on the dimension of space. These results complete the scan and reduction of the parameter space of the theory. Black-body bounds are obtained also for the theory with weighted derivatives.

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