Even though 'String theory' models and "quantum gravity' models are having a strong mathematical back ground and sound physical basis, they are failing in implementing the Newtonian gravitational constant in atomic and nuclear physics and thus seem to fail in developing a 'workable' model of final unification. In this context, extending Abdus Salam's old concept of 'nuclear strong gravitational coupling' we consider two very large pseudo gravitational constants assumed to be associated with electromagnetic and strong interactions. By combining the two microscopic pseudo gravitational constants with the Newtonian gravitational constant, we make an attempt to combine the old 'strong gravity' concept with 'Newtonian gravity' and try to understand and re-interpret the constructional features of nuclei, atoms and neutron stars in a unified approach. Finally we make a heuristic attempt to estimate the Newtonian gravitational constant from the known elementary atomic and nuclear physical constants. By exploring the possibility of incorporating the proposed two pseudo microscopic gravitational constants in current unified models, in near future, complete back ground physics can be understood and observable low energy predictions can be made.
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