Starting from the classical Newton inverse square law of gravitation we
arrive at a modified Newtonian gravity in the spirit of the work of Milgrom-Bekenstein
pioneering work. This is achieved by injecting the needed quantum mechanical
dissection of special relativity into Newton’s law via the modified energy mass
relationship which transforms Einstein’s famous formula from a smooth four dimensional space to a
rugged fractal-like spacetime manifold. The confidence in the present result
stems not only from the consistency of the mathematical scheme but also from
agreement with the general direction of cosmological measurements and
observations.
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