The Relationship Between G and H in a Closed Universe

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Scientific paper

In a closed expanding-contracting Universe, matter will be subject to an inward acceleration large enough to prevent perpetual expansion. A closed Universe must also perform a simple harmonic motion, which might consist either of one single cycle or of an infinite series of oscillations about a central point. It is the purpose of this study to find the rate ofa 0, the cosmic acceleration, from which the gravitational constantG can be determined. It will be shown from Ampère's equation and Planck's radiation law that it is possible to derivea 0=7.623×10-12 ms-2, a value which also conforms with the uncertainty principle. The relationship betweena 0 and electromagnetic radiation is based on the concept that charges (such as electrons) must emit radiation while accelerating. The rate ofa 0 yields a universal gravitational constant ofG=6.645×10-11 N m2 kg-2.

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