Nuanced Relativity: The General Equation

摘要

Nuanced relativity points to h v(c/vf as a general expression for the total energy of any wave-particle. When v - c, the total energy E is "naked": hv. Wlien v < c, the total energy E is "dressed" by rest mass and is greater than hv by a factor of (c/vf. When E is "well dressed, " v " c, hv " E, the dynamic Newtonian symmetry dT = fpdv = (l/2)mv2, where the indefinite integral /denotes the antideri-vative of its argument, accompanies the kinematic symmetry dx = fvxdt -(l/2)axt2. Rest energy is recognized as a form of potential energy V - moc2. The Hamiltonian then gives the total energy as H = V + T = moc2 + moC2(f- 1) = hv(c/v)2.