The Physical Exclusion of Negative Energy States A Mechanism-First Clarification of Dirac's Relativistic Solutions

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Authors: Darren Cudd
Cited by: 0

Abstract

This paper provides a mechanism-first, non-mathematical clarification of why negative energy solutions of relativistic quantum equations—most notably those arising from Dirac’s formulation—are never physically realized. Rather than modifying existing theories or introducing new physics, the work demonstrates that the exclusion of negative energy states is a necessary consequence of established physical constraints: thermodynamics (specifically the Second Law), locality, causality, and local energy conservation. By grounding physical existence in the requirements for causal interaction and irreversible state change, the paper shows that negative energy states fail at the coupling stage of any realizable interaction and are therefore structurally excluded from the physical manifold. The framework explains why standard Quantum Field Theory procedures such as normal ordering, renormalization, and the reinterpretation of antiparticles are mathematically effective while remaining physically mandatory. The result is a foundational consistency explanation that resolves the negative energy problem without equations, speculation, or modification of existing physical law.

Fields of Study & Subjects

Quantum and Classical Electrodynamics Relativity and Gravitational Theory Quantum Mechanics and Applications

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
9 January 2026
Document type
Preprint