Geometric Thermodynamics Applied Explaining Standard Quantum Field Theory

This paper applies the principles of geometric thermodynamics to provide a foundational explanation for standard quantum field theory (QFT). Starting from three established postulates—(1) the energy-information relation $\mathcal{N}_{\text{struct}} = \kappa E_{\text{irr}}^2$, (2) energy decomposition $E = E_{\text{irr}} + E_{\text{dyn}}$, and (3) information bipartition $\mathcal{N}_{\text{dyn}} = \alpha (E_{\text{dyn}}/E_{\text{irr}}) \ln \mathcal{N}_{\text{struct}}$—we demonstrate how key aspects of QFT naturally emerge. The quantum vacuum is explained as a maximal structural information state with zero dynamic information, particle excitations as localized injections of dynamic information, and field equations as consequences of information optimization. We show how canonical quantization rules arise from discrete information units, gauge symmetries from local information conservation, and the path integral from information-weighted sums over histories. This work provides a coherent explanatory framework for QFT from the perspective of geometric thermodynamics, unifying insights from black hole physics, cosmology, galactic dynamics, and condensed matter systems under a single informational paradigm.