Phase coupling gravity and astronomical mass discrepancies

Statistics – Computation

Scientific paper

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Field Theory (Physics), Galactic Mass, Gravitation Theory, Solar System, Binary Stars, Computational Astrophysics, Pulsars, Scalars

Scientific paper

Bekenstein (1987) has proposed a new theory of gravity in which an additional long-range force is associated with a complex scalar field. The unique aspect of the theory is that only the phase of the complex scalar field couples to matter; hence, the designation "phase coupling gravity". The scalar field Lagrangian density contains a self-interaction potential which, in original form, depends upon the sixth power of the scalar amplitude. In the present paper the author explores versions of phase coupling gravity with alternative forms for the scalar self-interaction. These alternative versions, unlike the sextic potential theory, predict a maximum conventionally determined mass discrepancy in any system and a return to Newton's law on larger scale. The most natural form for the self-interaction term may be similar to that of a Coleman-Weinberg potential which describes a spontaneously broken gauge symmetry. In this version the theory contains a cosmological term which dominates the present energy density of the Universe. The exciting aspect of the theory is that new and possibly measurable phenomena are predicted on the scale of the Solar System.

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