Appendix D 2.0: Triple-AI Variational Derivation of the GIGL Constants

This appendix unifies three independent AI-generated derivations (ChatGPT, Grok, Gemini)

into a single mathematically consistent Variational Model. The goal is to formally derive the

three GIGL constants:

εth = 0.00727, εmin = 0.00729, ηfold = 0.275, Y = 0.04125.

These values must arise as stationary solutions of an Action functional, not as heuristic

inputs.