Symbolic Thermodynamics and Collapse in Modular Field Theory

This paper introduces a symbolic thermodynamic model grounded in the Symbolic Modular Field Theory (SMFT) framework. We define key thermodynamic quantities - symbolic energy, decay, work, and collapse - as functions evolving over modular field dynamics. The analysis includes simulations of symbolic decay functions, formal identities linking symbolic entropy to memory retention, and tests of collapse thresholds under symbolic stress. We propose a symbolic Lagrangian formulation for field behavior under thermal modulation and discuss how symbolic thermodynamics may bridge classical behavior with nonlocal modular field interactions. The work builds on prior SMFT and SMG publications by introducing decay modeling as a testable component of symbolic memory and identity coherence. This paper also responds to the recent preprint “Nonlinear Quantum Transport in Symbolic Fields” by Shkarin et al. (2025), offering a complementary symbolic interpretation of nonlinear transport under collapse pressure.