Spatial Localization of Relativistic Quantum Systems: The Commutativity Requirement and the Locality Principle. Part I: A General Analysis

arXiv:2604.03729 · math-ph, hep-th, math.MP, quant-ph · Submitted 2026-04-04 · Read on arXiv

math-ph, hep-th, math.MP, quant-ph

Submitted: 2026-04-04

Updated: 2026-09-10

Terminology

• Hilbert Space — 21× in this paper · explained in 2 episodes
• Consistency — 17× in this paper · explained in 3 episodes
• Additivity — 6× in this paper · explained in 1 episode
• In the Araki-Haag-Kastler — 4× in this paper
• No-Go Theorem — 4× in this paper · explained in 2 episodes
• Quantum Physics — 4× in this paper · explained in 10 episodes
• Generalization — 3× in this paper · explained in 13 episodes
• Trace — 3× in this paper · explained in 2 episodes
• Additivity Condition — 1× in this paper · explained in 1 episode
• Entanglement — 1× in this paper · explained in 4 episodes
• Projector-Valued Measure — 1× in this paper

Sources

• Dirac and Weyl Fermions -- the Only Causal Systems
• Achronal Localization, Representations of the Causal Logic for massive systems
• Achronal localization and representation of the causal logic from a conserved current, application to the massive scalar boson
• Representation of the causal logic for the Dirac system and the electron
• Causal quantum-mechanical localization observables in lattices of real projections
• Modular Localization and the Bootstrap-Formfactor Program
• Coding Theorems of Quantum Information Theory

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