Modal Diagrammatics: The Origin of Feynman Rules from Coherent Modal Geometry

Key Points

• The aim is to explain how Feynman diagrammatics arise from coherent modal fluctuations according to Modal Triplet Theory.
• Explored the connection between coherent modal fluctuations and propagators/vertices.
• Examined diagrammatic expansions emerging from stable fixed points.
• Projected findings onto four-dimensional spacetime to relate them to standard Feynman rules.
• Investigated the role of algebraic quantum field theory for causal and renormalization aspects.
• Demonstrated that diagrammatics serves as a universal perturbative grammar for coherent systems.
• Found that Feynman rules emerge as a projection of a more fundamental structure associated with coherent modalities.
• Established that the dominant quadratic core and controlled interactions influence the structure of these rules.