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A gravitational diffusion model without dark matter

Britten, Roy J. (1998) A gravitational diffusion model without dark matter. Proceedings of the National Academy of Sciences of the United States of America, 95 (7). pp. 3351-3355. ISSN 0027-8424. PMCID PMC19838.

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In this model, without dark matter, the flat rotation curves of galaxies and the mass-to-light ratios of clusters of galaxies are described quantitatively. The hypothesis is that the agent of gravitational force is propagated as if it were scattered with a mean free path of approx 5 kiloparsecs. As a result, the force between moderately distant masses, separated by more than the mean free path, diminishes as the inverse first power of the distance, following diffusion equations, and describes the flat rotation curves of galaxies. The force between masses separated by <1 kiloparsec diminishes as the inverse square of distance. The excess gravitational force (ratio of 1/r:1/r2) increases with the scale of structures from galaxies to clusters of galaxies. However, there is reduced force at great distances because of the approx 12 billion years that has been available for diffusion to occur. This model with a mean free path of approx 5 kiloparsecs predicts a maximum excess force of a few hundredfold for objects the size of galactic clusters a few megaparsecs in size. With only a single free parameter, the predicted curve for excess gravitational force vs. size of structures fits reasonably well with observations from those for dwarf galaxies through galactic clusters. Under the diffusion model, no matter is proposed in addition to the observed baryons plus radiation and thus the proposed density of the universe is only a few percent of that required for closure.

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Additional Information:Copyright © 1998 by The National Academy of Sciences. Contributed by Roy J. Britten, December 29, 1997. The publication costs of this article were defrayed in part by page charge payment. This article must therefore be hereby marked "advertisement" in accordance with 18 U.S.C. §1734 solely to indicate this fact.
Subject Keywords:galactic rotation curves; clusters and superclusters; zero dark matter; initial gravitational collapse; galaxy formation
Issue or Number:7
PubMed Central ID:PMC19838
Record Number:CaltechAUTHORS:BRIpnas98a
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:9873
Deposited By: Archive Administrator
Deposited On:25 Mar 2008
Last Modified:03 Oct 2019 00:04

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