Discrete Spatial Scales in a Fractal Universe

Roscoe, D. F.

doi:10.1007/978-94-011-5628-8_20

Discrete Spatial Scales in a Fractal Universe

D. F. Roscoe²

Conference paper

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Abstract

The work of this paper is based on work which has been described in a preliminary form in Roscoe (1995), and it applies the formalism developed there to the problem of deriving the cosmology for a universe which is in a state of gravitational equilibrium. It predicts that, in such a universe, material is distributed in a fractal fashion with fractal dimension two whilst redshifts necessarily occur in integer multiples of a basic unit and, given a certain model for light propagation, the measured magnitudes of peculiar velocities will increase in direct proportion to cosmological red-shift.

The first of these predictions is strongly supported by the results of the most modern pencil-beam and wide-angle surveys, whilst the second conforms with the results of very recent rigorous analyses of accurately measured redshifts of nearby spiral galaxies and the third is in qualitative agreement with the very limited data available. The observational support for these predictions is described in detail in the text.

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School of Mathematics, Sheffield University, Sheffield, S3 7RH, UK
D. F. Roscoe

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D. F. Roscoe
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Department of Astronomy, University of Arizona, Tucson, Arizona, USA
W. G. Tifft & W. J. Cocke &

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Roscoe, D.F. (1997). Discrete Spatial Scales in a Fractal Universe. In: Tifft, W.G., Cocke, W.J. (eds) Modern Mathematical Models of Time and their Applications to Physics and Cosmology. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5628-8_20

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DOI: https://doi.org/10.1007/978-94-011-5628-8_20
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-6372-2
Online ISBN: 978-94-011-5628-8
eBook Packages: Springer Book Archive

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