Cosmic Time Variation of the Gravitational Constant |
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Authors: | Roman Tomaschitz |
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Institution: | (1) Department of Physics, Hiroshima University, 1-3-1 Kagami-yama, Higashi-Hiroshima 739-8526, Japan |
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Abstract: | A pre-relativistic cosmological approach to electromagnetism and gravitation is explored that leads to a cosmic time variation
of the fundamental constants. Space itself is supposed to have physical substance, which manifests by its permeability. The
scale factors of the permeability tensor induce a time variation of the fundamental constants. Atomic radii, periods, and
energy levels scale in cosmic time, which results in dispersionless redshifts without invoking a space expansion. Hubble constant
and deceleration parameter are reviewed in this context. The time variation of the gravitational constant at the present epoch
can be expressed in terms of these quantities. This provides a completely new way to restrain the deceleration parameter from
laboratory bounds on the time variation of the gravitational constant. This variation also affects the redshift dependence
of angular diameters and the surface brightness, and we study in some detail the redshift scaling of the linear sizes of radio
sources. The effect of the varying constants on source counts is discussed, and an estimate on the curvature radius of the
hyperbolic3-space is inferred from the peak in the quasar distribution. The background radiation in this dispersionless, permeable
space-time stays perfectly Planckian. Cosmic time is discussed in terms of atomic and gravitational clocks, as well as cosmological
age dating, in particular how the age of the Universe relates to the age of the Galaxy in a permeable space-time.
This revised version was published online in July 2006 with corrections to the Cover Date. |
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