Momentum conservation decides Heisenberg's interpretation of the uncertainty formulas

Abstract

The present thesis considers, in the light of Heisenberg's interpretation of the uncertainty formulas, the conditions necessary for the derivation of the quantitative statement or law of momentum conservation. The result of such considerations is a contradiction between the formalism of quantum physics and the asserted consequences of Heisenberg's interpretation. This contradiction decides against Heisenberg's interpretation of the uncertainty formulas on upholding that the formalism of quantum physics is both consistent and complete, at least insofar as the statement of momentum conservation can be proved within this formalism. A few comments are also included on Bohr's “complementarity interpretation” of the formalism of quantum physics. A suggestion, based on a statistical mode of empirical testing of the “uncertainty” formulas, does not give rise to any such contradiction.