Multiple Quantization in Fock Space

Abstract

A recurring theme in Carl Friedrich von Weizsäcker’s synthesis of physics and philosophy is that at the core of quantum theory there is a non-classical logic. Application of this logic to its own statements leads to the concept of multiple quantization [1]. The reconstruction of quantum theory as done in [2, 3] is an explicit implementation of this idea, starting with the quantization of an abstract classical alternative. The result of this first step is interpreted as three-dimensional momentum space. The second quantization step yields the Weyl, Dirac and Maxwell equations. The third quantization step would then lead to the familiar quantum field theories of matter and gauge fields.