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Gravity creates a scalar and vector acceleration. The gravitational potential energy is

Es= GmM/r= - mu/r.

The derivative of the energy is the force

XE= F= (d/dr + Del) (-mu/r) = -m(d(u/r)/dr + Del u/r) = mu(/r^2 + R/r^3)

The scalar acceleration is as=u/r^2 the vector acceleration is Av= uR/r^3.

Thus the acceleration due to the gravitational potential energy produces a scalar and vector acceleration. This is the result of the quaternion nature of Nature. The Four dimensional universe consists of a scalar and a vector part, including the scalar and vector derivative X=d/dr + Del.

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