id author title date pages extension mime words sentences flesch summary cache txt work_mb46cptdfjdf7a6ztmynhh4gw4 Mathias Frisch Laws and Initial Conditions 2004 11 .pdf application/pdf 5248 258 57 between laws that delineate physically possible words and initial conditions. many reasonable initial conditions there exist no global solutions to the MaxwellLorentz equations for continuous charge distributions. of motion for a charged point particle one needs to invoke an asymptotic condition Rather phenomena involving charged particles and electromagnetic fields are not represented in terms of pure initial-value problems, equations, governing the dependence of the fields on the charge distribution, and the Lorentz law, governing the motion of the charge distriLAWS AND INITIAL CONDITIONS 699 infinity vanish; without assuming the condition the Lorentz-Dirac equation could not be derived. that the mass renormalization cannot be performed, and hence the Lorentz-Dirac equation cannot be derived, unless one assumes that the acceleration vanishes asymptotically, because otherwise the diverging integrals over the caps of the tube do not have the right mathematical form. The distinction between contingent initial conditions and physically necessary laws appears to be ./cache/work_mb46cptdfjdf7a6ztmynhh4gw4.pdf ./txt/work_mb46cptdfjdf7a6ztmynhh4gw4.txt