Gary L. MathisAll rights reservedNewtons Third Law in Special RelativityIntroductionDoes Newtons Third Law hold up in Special Relativity? Well, this essay showsthat depends.AnalysisIn Special Relativity there are three forces to deal with. These are: = dp where p is the 4-momentum1. The Minkowski force, defined by Kdand is the proper time;dpwhere p = mu is the relativistic2. The ordinary force, defined by F =dtmomentum and t is the laboratory time;dp3. The Newtonian force, defined by FN = N where p N = mu is thedtclassical momentum. The Newtonian force is the force of classicalphysics.The validity of Newtons Third Law in SR depends on which of these forces areinvolved.Minkowski Force is the 4-velocity of the CM of a system of particles moving throughSuppose VCMspacetime. By analogy with nonrelativistic particles, we define P ...
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