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Modified Newtonian dynamics with inverse dissipation function as an alternative to dark matter and dark energy

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This paper introduces an inverse dissipation function into the Newtonian Dynamics and studies the motion equations of the objects in the isolated gravitational system. It is found that at large scales it can simultaneously deduce the dynamical equation of cosmic expansion similar to the Adiabatic Cold Dark Matter (ACDM) model and yield the flat rotation curves for spiral galaxy. Different from the usual dark matter models, the derived flat rotation curve is the result of time accumulation rather than the direct action of mechanics. And the Tully-Fisher relationship is also discussed. It is found that the empirical constant a 0 in the Modified Newtonian Dynamics (MOND) model proposed by Milgrom and the form of the function μ are shown a clear corresponding physical significance in the model of this paper.
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Keywords: Dark Energy;; Dark Matter;; Inverse Dissipation;; MOND; Newtonian Dynamics;

Document Type: Research Article

Publication date: March 7, 2019

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  • Physics Essays has been established as an international journal dedicated to theoretical and experimental aspects of fundamental problems in Physics and, generally, to the advancement of basic knowledge of Physics. The Journal's mandate is to publish rigorous and methodological examinations of past, current, and advanced concepts, methods and results in physics research. Physics Essays dedicates itself to the publication of stimulating exploratory, and original papers in a variety of physics disciplines, such as spectroscopy, quantum mechanics, particle physics, electromagnetic theory, astrophysics, space physics, mathematical methods in physics, plasma physics, philosophical aspects of physics, chemical physics, and relativity.
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