Computational Complexity and the Interpretation of a Quantum State Vector

TL;DR

This paper explores the implications of assuming the Schrödinger equation is computationally intractable, challenging the traditional view that it must be solvable for macroscopic systems, and addresses the macro-objectivation problem in quantum mechanics.

Contribution

It introduces the idea that the Schrödinger equation's intractability can provide a new perspective on the macro-objectivation problem in quantum theory.

Findings

Proposes intractability of the Schrödinger equation as a solution to macro-objectivation.

Challenges the assumption that the Schrödinger equation must be solvable for macroscopic systems.

Suggests computational complexity considerations are relevant to quantum interpretation.

Abstract

The macro-objectivation problem derives from the fact that the Schrodinger equation is linear and thus requires that a macroscopic system interacting with an entangled state must be entangled as well. However, such a requirement entails that the Schrodinger equation must also be solvable in the macroscopic world in the same way as it is solvable in the microscopic world, which itself is an assumption. In this work, the alternative assumption that the Schrodinger equation is in general an intractable problem is considered.