This study performs a comprehensive statistical comparison between predictions derived from Entanglement-Weighted Operator Geometry (EWOG) and traditional Condensed Matter (CM) physics models. Using experimental data from three paradigmatic quantum material classes—heavy-fermion systems, quantum spin liquids, and unconventional superconductors—we apply information-theoretic criteria (AIC, BIC), Bayesian model selection, and frequentist hypothesis testing. Our analysis demonstrates that EWOG models consistently provide superior fits to experimental data with greater parameter efficiency. For
CeCoIn5 specific heat data, EWOG yields
ΔAIC=14.5 and Bayes factor
>103 versus the best CM model. We present complete numerical derivations of all statistical tests, establishing EWOG as a statistically superior framework for describing emergent phenomena in strongly correlated quantum matter.
Providing a broad review of many techniques and their application to condensed matter systems, this book begins with a review of thermodynamics and statistical mechanics, before moving onto real and imaginary time path integrals and the link between Euclidean quantum mechanics and statistical mechanics. A detailed study of the Ising, gauge-Ising and XY models is included. The renormalization group is developed and applied to critical phenomena, Fermi liquid theory and the renormalization of field theories. Next, the book explores bosonization and its applications to one-dimensional fermionic systems and the correlation functions of homogeneous and random-bond Ising models. It concludes with Bohm–Pines and Chern–Simons theories applied to the quantum Hall effect. Introducing the reader to a variety of techniques, it opens up vast areas of condensed matter theory for both graduate students and researchers in theoretical, statistical and condensed matter physics.
Providing a broad review of many techniques and their application to condensed matter systems, this book begins with a review of thermodynamics and statistical mechanics, before moving onto real and imaginary time path integrals and the link between Euclidean quantum mechanics and statistical mechanics. A detailed study of the Ising, gauge-Ising and XY models is included. The renormalization group is developed and applied to critical phenomena, Fermi liquid theory and the renormalization of field theories. Next, the book explores bosonization and its applications to one-dimensional fermionic systems and the correlation functions of homogeneous and random-bond Ising models. It concludes with Bohm-Pines and Chern-Simons theories applied to the quantum Hall effect. Introducing the reader to a variety of techniques, it opens up vast areas of condensed matter theory for both graduate students and researchers in theoretical, statistical and condensed matter physics.