From Feynman Diagrams to Valamontes Interaction Diagrams (VID): A Nonperturbative Diagrammatic Framework for Geometry, Coherence, and ∞-Algebraic Dynamics

Feynman diagrams provide an iconic and indispensable tool for perturbative quantum field theory, yet their domain of validity is fundamentally restricted:
they presuppose pointlike interactions, continuous spacetime, and expansions in weak coupling. They cannot represent strong-coupling dynamics, emergent
geometry, vacuum-structure evolution, or processes governed by graded-infinite operator hierarchies. In this work we introduce \emph{Valamontes Interaction
Diagrams} (VID), a successor diagrammatic framework designed to operate in the nonperturbative, discrete-geometric, and coherence-dynamic regime defined by the Dodecahedron Linear String Field Hypothesis (DLSFH), the Superluminal Graviton Condensate Vacuum (SGCV), Multifaceted Coherence (MC), and the algebraic structure known as Infinity Algebra. VID combines three layers—discrete dodecahedral geometry, coherence-flow dynamics, and  ∞-rank operator
propagation—yielding a unified visual calculus for theories in which spacetime, locality, and curvature emerge from underlying coherence structure. We provide a
systematic comparison between Feynman diagrams and VID, clarify their respective domains of applicability, and present canonical templates for deploying VID
in quantum gravity, vacuum dynamics, and nonperturbative field theory.