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Re: Work; the correct one



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)

Sorry, but I thought it would be obvious that doing a four-dimensional
dot product requires two four-vectors.

--
Dave Rutherford
"New Transformation Equations and the Electric Field Four-vector"
http://www.softcom.net/users/der555/newtransform.pdf

Applications:
"4/3 Problem Resolution"
http://www.softcom.net/users/der555/elecmass.pdf
"Action-reaction Paradox Resolution"
http://www.softcom.net/users/der555/actreact.pdf