There is No Quantum World

TL;DR

This paper advances a neo-Bohrian interpretation of quantum mechanics, recasting the theory as a non-Boolean description of what can be said about nature and emphasizing the primacy of classical concepts communicated through intertwined Boolean frames. It argues that quantum probabilities are intrinsic to the geometry of Hilbert space and that measurement corresponds to selecting a particular frame, with the classical language serving as the communicative core. Building on von Neumann's ideas, it then shows how infinite direct products yield macro-sectorization that deflates the measurement problem in the macroscopic limit, while acknowledging that infinity is never physically reached for finite systems. Overall, the work presents a coherent stance in which quantum mechanics is complete and objective as a kinematic, probabilistic framework, with the movable Heisenberg cut and non-Boolean structure central to its interpretation and implications for quantum information and classical description.

Abstract

I outline a neo-Bohrian interpretation of quantum mechanics -- a view of quantum mechanics that accords with the core insights in Bohr's thinking, with a twist that justifies the prefix `neo.' In a second part of the paper, I show how von Neumann's work on infinite direct products provides a theoretical framework that deflates the measurement problem and justifies Bohr's insistence on the primacy of classical concepts.