Achronal localization and representation of the causal logic from a conserved current, application to the massive scalar boson

arXiv:2501.12699 · math-ph, hep-th, math.MP, quant-ph · Submitted 2025-01-22 · Read on arXiv

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

Submitted: 2025-01-22

Updated: 2026-01-26

Comments: 29 pages, comments, references and a final section added, accepted for publication in Annales H. Poincaré

Journal ref: Ann. Henri Poincaré 2026

DOI: 10.1007/s00023-026-01668-1

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Hilbert Space — 4× in this paper · explained in 2 episodes
• Additivity — 3× in this paper · explained in 1 episode
• Positive Operator Localization — 1× in this paper
• Quantum Physics — 1× in this paper · explained in 10 episodes
• Trace — 1× in this paper · explained in 2 episodes

Sources

• Dirac and Weyl Fermions -- the Only Causal Systems
• Achronal Localization, Representations of the Causal Logic for massive systems
• Localization of the massive scalar boson on achronal hyperplanes, derivation of Lorentz contraction

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