SymC and the QFT: Critical-Damping Boundary Dynamics of Dissipative Quantum Fields
Christensen, Nate
Abstract
Version 2 clarifies the role of the χ = 1 boundary, introduces the information-efficiency interpretation, incorporates substrate inheritance as a structural constraint, and removes material not directly related to dissipative quantum fields. Symmetrical Convergence (SymC) identifies the dimensionless ratio χ = γ/(2|ω|) as a boundary separating oscillatory and monotone dynamics in open quantum systems. At χ = 1, each field mode reaches a non-Hermitian exceptional point where the retarded propagator’s poles coalesce and the causal response function becomes g(t) = Θ(t)·t·exp(−|ω|·t). This manuscript presents the complete open-QFT formulation of SymC, including theoretical foundations, covariance, substrate inheritance, renormalization-group stability, non-Markovian broadening, interpretation of the damping transition, and quantitative laboratory falsification. The analysis emphasizes the structural role of the χ = 1 boundary as both a dynamical separatrix and an information-efficiency extremum, and shows that it remains robust under substrate inheritance, weak RG flow, and controlled non-Markovian broadening.