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Force is the first derivative of energy. The gravitation energy is

W = -mGm/r + cmV = -mvh/r + cP

Gravity energy is a Quaternion energy consisting of a scalar force -mGM/r and a vector energy cmV = cP a momentum vector energy, the so-called Dark Energy.

In addition physics does not recognize the four space derivative X,properly a Quaternion derivative, X =[d/dr, DEL].

With these reflections the Force is the first derivative and a Quaternion Force.

Force F= XW = [d/dr, DEL][ -vh/r ,cP]

F = [vh/r2 -cDEL.P, cdP/dr -DEL vh/r + cDELxP]

F = [vp/r - cp/r cos(P), -cp/r 1P + vp/r 1R + cp/r sin(P) 1RxP]

F = cp/r[v/c -cos(P), -1P + v/c 1R + sin(P) 1RXP]

cp/r = cp/ct=p/t = mv/t = ma.

The vector energy provides the centrifugal force that keeps the mass m from falling into the center. The centrifugal force is teh Divergence of the vector energy, cDEL.P = -cp/r cos(P).

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Q: How do you describe gravitation force or force of gravity?
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