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Schroedinger's principle eliminates the EPR-locality paradox

Walter F. Wreszinski

TL;DR

The paper investigates whether the EPR-locality paradox challenges the Copenhagen view of quantum mechanics. It leverages a minimal two-spin entangled setup, the Lieb–Robinson bound for finite information propagation, and Schrödinger's principle of non-separability to argue that the paradox is well-posed but resolved by standard collapse: measuring one subsystem effects the joint state and fixes the distant outcome within finite $T$. This shows that entanglement precludes a description in terms of independent single-system states, without enabling superluminal signaling. The discussion highlights two quantum features—non-additivity of superpositions and non-separability of joint states—as the root cause of the apparent paradox, supporting the Copenhagen interpretation's treatment of quantum correlations.

Abstract

We introduce a principle, implicitly contained in Schroedinger's paper (Schr35), which allows a proof of the non-existence of the EPR-locality paradox in the Copenhagen interpretation of quantum mechanics. The paradox is shown to be well-posed already in the simplest example of an entangled state of two spins one-half, independently of the (well-taken) objections by Araki and Yanase that the measurement of spin is not a local measurement. We assume that any measurement results in the collapse of the wave-packet.

Schroedinger's principle eliminates the EPR-locality paradox

TL;DR

The paper investigates whether the EPR-locality paradox challenges the Copenhagen view of quantum mechanics. It leverages a minimal two-spin entangled setup, the Lieb–Robinson bound for finite information propagation, and Schrödinger's principle of non-separability to argue that the paradox is well-posed but resolved by standard collapse: measuring one subsystem effects the joint state and fixes the distant outcome within finite . This shows that entanglement precludes a description in terms of independent single-system states, without enabling superluminal signaling. The discussion highlights two quantum features—non-additivity of superpositions and non-separability of joint states—as the root cause of the apparent paradox, supporting the Copenhagen interpretation's treatment of quantum correlations.

Abstract

We introduce a principle, implicitly contained in Schroedinger's paper (Schr35), which allows a proof of the non-existence of the EPR-locality paradox in the Copenhagen interpretation of quantum mechanics. The paradox is shown to be well-posed already in the simplest example of an entangled state of two spins one-half, independently of the (well-taken) objections by Araki and Yanase that the measurement of spin is not a local measurement. We assume that any measurement results in the collapse of the wave-packet.
Paper Structure (4 sections, 1 theorem, 7 equations)

This paper contains 4 sections, 1 theorem, 7 equations.

Table of Contents

  1. Introduction
  2. Generalities on states and observables
  3. The EPR-locality paradox and Schrödinger's principle
  4. Schrödinger's basic contribution to elucidate the essential features of quantum mechanics

Key Result

Proposition 3.1

The EPR-locality paradox is well posed under the following assumptions: 1) the time $T$ of a quantum mechanical measurement satisfies $T<\infty$ (Wre2) If, in addition, we assume that 2) at the moment the measurement is performed, there occurs the collapse of the wave-packet then the EPR-locality pa

Theorems & Definitions (2)

  • Proposition 3.1
  • proof