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Fractional calculus analysis of the cosmic microwave background

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Date

2013

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Editura Academiei Romane

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Abstract

Cosmic microwave background (CMB) radiation is the imprint from an early stage of the Universe and investigation of its properties is crucial for understanding the fundamental laws governing the structure and evolution of the Universe. Measurements of the CMB anisotropies are decisive to cosmology, since any cosmological model must explain it. The brightness, strongest at the microwave frequencies, is almost uniform in all directions, but tiny variations reveal a spatial pattern of small anisotropies. Active research is being developed seeking better interpretations of the phenomenon. This paper analyses the recent data in the perspective of fractional calculus. By taking advantage of the inherent memory of fractional operators some hidden properties are captured and described.

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Keywords

Cosmic Microwave Background, Fractional Calculus, Cosmology, Fourier Transform

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Citation

Tenreiro Machado, J.A...et al. (2013). Fractional calculus analysis of the cosmic microwave background. Romanian Reports in Physics, 65(1), 316-323.

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Source

Romanian Reports in Physics

Volume

65

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1

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316

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323