In the absence of any space effect between quarks, the force between quarks is infinity-like. The proposed equation can be looked as stating that the gravitational force between two particles is proportional to the mass effect divided by the space effect. This is an attempt for a qualitative explanation. Accordingly, before the force of gravitational attraction between nucleon masses increases to infinity, Nature must be intervening at Planck length with its mysterious and quantum mechanical tools. Nature guards against conversion of physical quantity to either zero or infinity in ways hard to verbalize. Proposed equation explains the higher range of the nuclear force. Since the restД®nergy of a particle is inversely proportional to the range of nuclearДЇorce, the pion does not adequately describe the nuclear force. Times higher depending upon which article one reads. The range of nuclear force is reported several Of pion was predicted as 100 MeV based on range of the nuclear forceД®qual to one femtometer. Yukawa potential is too weak to explain the nuclear force. No other formula predicts the short range strong force to any degree close to this prediction.

' g' to get the force of attraction between two nucleonsД«etween two adjoining nucleons as derived from scattering experiments isДЎ0 40g. = (d n + Planck length) 2/(Planck length) 2 When D exceeds d n, by Planck length (10 -20fmвЂ™s), the ratio: The following results bring home the concept.Д¬alculated by equation (1) 'g', the force of gravitationД¬alculated by equation (2) would be higher by the ratio When D is small compared to d n, the force of attraction calculatedД«y equation (2) will be significantly greater than thatД¬alculated by equation (1). Gravitation calculated by these two equations between the nucleons of twoДЄdjoining atoms is practically the same, because the ratio D 2 / (D-d n) 2is almost equal to one. The diameter of atoms is hundreds of millions of times greater than theДiameter of nucleons located at the center of atoms. The relative strength of the proposed equation is (2) divided by (1) The RatioД¬ompared to d n, D 2is almost equal to (D-d n ) 2. I require the Planck length as a lower bound so as to include the dominant, first order, quantum effect in this semi-classical model. The notation d n in Equation (2) is the diameter of the nucleons inД®quation (2) is good for all distances greater than Planck Length (10 -35 meters = 10 -20 fmвЂ™s). NewtonвЂ™s equation needs replacement by equation (2) for all microscopic distances. The consequences of this distinction are enormous and unexplored. The associated deviation from inverse square logic is insignificant and consistent with general relativity. I am asserting that, instead, the gravitation field originates at the surfaces of elementary particles, not at a central point within the elementary particles. Newtonian physics implies point masses and action between points. My assertion is that its failure is a result of implicit assumption in Newtonian gravityвЂ™s formation: that gravity originates at a point. It does not express the measured force of attraction between nucleons at short range. NewtonвЂ™s equation is an approximation that explains macroscopic observations. Its validity is not verified when subatomic separating distance between nuclei of atoms is a few femtometers ( fm's). Validity of equation (1) has been verified for distances as low as few centimeters. The notation D in the denominator in NewtonвЂ™s equation (1) of the gravitational force denotes the separating distance between the centers of mass of the particles in question. Gravity in the unified family of all four forces. Universe and its cosmological evaluation, and also for the inclusion of It is difficult to exaggerate the importance ofДЇundamental nuclear theory for the understanding of matter in the The author uses this distinction to set forth a consistentД¬lassical equation of gravity valid to the Planck length and peeps into Space as we know it now was not known when the general relativity was The subatomicДistinction of mass concentration mainly in nucleons surrounded by empty Reported experimental findings of the last century. General relativity with Newtonian gravity at a subatomic scale and with This paper unifies this mass/space distinction of Has an effect on surrounding space is the first essential element of Nuclear Engineering Organization, American Electric PowerД¬opyright В© By Shantilal G. Classical Equation of Gravity to Quantum LimitДЄrXiv:math-ph/0009025v1 Classical Equation of Gravity

Gravity equation