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Minimal Energy and Gravitation
Authors:Corrado Massa
Affiliation:(1) Via Fratelli Manfredi 55, 42100 Reggio Emilia, Italy
Abstract:Quantum theory in Robertson – Walker spacetime suggests the existence of a minimal energy ε of the order of 10−45 erg. Reasonable forms for ε give the expansion factor R=R(t)(t= the cosmic time) with no need of gravitational field equations.Einstein's theory should be modified in gravitational fields of strength less than ε c/ħ ∼ 10−8 cm/s2 where c is the speed of light and ħ is the reduced Planck constant. The cosmological term λ is expected to decrease as the universe expands.In the Appendix, ε is derived from a big bang – big crunch Newtonian cosmology.
Keywords:General relativity  Energy quatization  Maximal acceleration hypothesis  Robertson-Walker spacetime  Relativistic cosmology  Very weak gravitational fields
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