Abstract
It is often claimed that Einstein is wrong about quantum mechanics. However, when comparisons are made with respect to theoretical foundations rather than experimental results Einstein’s theories are found to be superior. Although quantum mechanics correctly describes energy exchange due to emissions with remarkable accuracy it ignores momentum exchange (the absorptions), thereby failing to recognize their causal relationship due to the conservation laws. The deficiencies in non-relativistic theory are corrected by introducing Hamilton’s principle and deriving relativistic equations of motion. This allows wave function behavior to be described as the combined action of a particle and an associated localized field. The calculus of variations is applied to the Schrödinger wave equation to show that it is incomplete because it yields twice the allowable action minimum.
Reference10 articles.
1. On conservation laws in quantum mechanics
2. A. Einstein, “Quantum theory of radiation” Phys Z 18, 121 (1917). W.
3. Heisenberg W. “Quantum mechanical re-interpretation of kinematic and mechanical relations”, Z Phys 33, 879 (1925) in B.L. van der Waerden (ed.), Sources of Quantum Mechanics, (Dover, 1968).
4. Brown, L.M., Feynman’s thesis: A new approach to quantum theory (World Scientific Publishing Co., 2005), p. 4.
5. Feynman, R. “A space-time approach to non-relativistic quantum mechanics” Rev Mod Phys 20, 367-387 (1948).