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David Rutherford wrote:
I think the equation for work in (3) below is more fundamental, but you
could probably also write a general equation for work W as
W = \int_s1^s2{F(x,y,z,t).ds}
where F(x,y,z,t) is the force,
F(x,y,z,t) is the four-force,
F = (Fx e1 + Fy e2 + Fz e3 + Ft e4)
and ds is the four-differential displacement
ds = (x e1 + y e2 + z e3 + ct e4)