Relativistic compatibility of quantum open systems

Establish or refute the conjecture that only classical open systems can be relativistic while quantum open systems necessarily violate Lorentz (relativistic) symmetry, by analyzing system–environment separations and entanglement within the Closed Time Path framework and related open quantum field theories.

Background

The authors argue that the separation between system and environment, essential for open-system descriptions, introduces non-relativistic features in quantum dynamics because entanglement generated during time evolution spoils factorized initial conditions under Lorentz boosts.

They formulate a conjecture that relativistic symmetry can be maintained only for classical open systems, whereas quantum open systems inherently break relativistic invariance. This touches on foundational issues in reconciling openness (environmental coupling) with relativistic symmetry.