Abstract
Our experience of the geometry of physical space at small scales is one that is flat obeying Euclidean laws, as simple measurements confirm. At cosmological scales, on the other hand, space appears also to be flat according to newly acquired evidence on the cosmic microwave background radiation, even if it gets considerably curved near the presence of massive bodies. This paper argues that the ‘geometry’ of the representational space of a thermal electronic noise process in fractional Brownian motion (fBm) is simply the reflection of the geometry of our universe; that is, flat with scattered local regions of curvature.
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Pallikari, F. (2002). A Random Walk in A Flat Universe. In: Amoroso, R.L., Hunter, G., Kafatos, M., Vigier, JP. (eds) Gravitation and Cosmology: From the Hubble Radius to the Planck Scale. Fundamental Theories of Physics, vol 126. Springer, Dordrecht. https://doi.org/10.1007/0-306-48052-2_10
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DOI: https://doi.org/10.1007/0-306-48052-2_10
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-0885-6
Online ISBN: 978-0-306-48052-2
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