Covariance and Quantum Physics-Need for a New Foundation of Quantum Theory?

Abstract

Starting from the fact that the traditional formulation of quantum mechanics in pictures (Heisenberg picture, Schrödinger picture, etc.) does not fulfil the requirements of covariance, the question of the deeper reasons of this problem is asked. Several arguments for a new foundation of quantum theory on the basis of the formulated “Principle of Fundamental Covariance”, combining the General Principle of Relativity (Principle of Coordinate-Covariance in space-time) and the Principle of State-Operator-Covariance (in the space of quantum states), are presented.