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Force F is the first derivative of energy W. Energy is a Quaternion quantity consisting of a scalar energy (potential V) and a vector energy (e.g cmV = cP ), W =V + cP= [V,cP].
Force =XW = [d/dr,DEL][V,cP] = [dV/dr -cDEL.P, cdP/dr + DEL V + cDELxP]
There are Five Forces:
dV/dr is Centripetal scalar Force
cDEL.P is Centrifugal scalar Force
cdP/dr is Tangent vector Force
DEL V is Gradient vector Force
cDELxP is Curl/circulation force
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