On the Accelerated Expansion of the Universe

Mathematics – Logic

Scientific paper

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Scientific paper

Recent observations of distant type Ia supernovae indicate an acceleration in the expansion rate of the universe footnote R.A. Kerr, Science 279, 651 (1998). Specifically, distances inferred from observations of the apparent magnitudes of objects with z >=0.18 are found to deviate from those predicted by the Hubble law. To account for these deviations we employ a cosmological model proposed by Motz (L. Motz, Comments Astrophys. 13, 67 (1989)) in which the initial universe was dominated by Planck-mass particles. The gravitational attraction between these massive particles caused them to coalesce in triplets to form the present baryons and the attendant release of energy produced the big bang. Motz further proposed that the dark matter consists of relict particles which did not coalesce. We attribute the recent observations to the effects of energy released in the coalescence of relict particles. We calculate the work required to displace a body to a location other than that predicted by the Hubble law and we relate this quantity to the recession velocity. Under reasonable assumptions, we find that the abundance of Planck-mass particles is adequate to account for the observed phenomena.

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