Quantum Theory without Quantization

TL;DR

This paper proposes that quantum discreteness can be explained as an emergent phenomenon from continuous entities constrained by boundary conditions, potentially resolving the measurement problem without invoking fundamental quantization.

Contribution

It introduces a boundary constraint perspective on quantum measurements, suggesting that apparent discreteness arises from continuous systems influenced by boundary conditions.

Findings

Boundaries can induce discrete behavior in continuous systems

Quantum measurement effects can be modeled as boundary constraints

Potential resolution to the measurement problem through this analogy

Abstract

The only evidence we have for a discrete reality comes from quantum measurements; without invoking these measurements, quantum theory describes continuous entities. This seeming contradiction can be resolved via analysis that treats measurements as boundary constraints. It is well-known that boundaries can induce apparently-discrete behavior in continuous systems, and strong analogies can be drawn to the case of quantum measurement. If quantum discreteness arises in this manner, this would not only indicate an analog reality, but would also offer a solution to the so-called "measurement problem".