Social Quantum Field Theory. First Edition (2026)

Contents

Copyright Page

Dedication

Reader’s Guide

Editorial Retrospective

PART I · FOUNDATIONS

Chapter 1 · Introduction

Chapter 2 · From Bourdieu’s Field Theory to Social Quantum Field Theory

Chapter 3 · The Mathematical Philosophy of Social Quantum Field Theory

Chapter 4 · The Eight Axioms of Social Quantum Field Theory

Chapter 5 · The Quantum Entanglement Pass: A Worked Model of Relational Coordination

Chapter 6 · Social Hilbert Space and the Geometry of Relational Possibility

Chapter 7 · Social Field Operators and Local Excitations

Chapter 8 · The Social Metric Tensor and Field Geometry

Chapter 9 · Renormalization and Multi-Scale Dynamics of Social Fields

Chapter 10 · Gauge Symmetry and Conservation Laws in Social Fields

Chapter 11 · Information Geometry and Relational Entropy

Chapter 12 · Emergence, Structural Collapse, and Open-System Dynamics

Chapter 13 · Mathematical Foundations for Empirical Verifi cation

Chapter 14 · Mathematical Criteria for Falsifi ability and Scientifi c Validity

Chapter 15 · Limitations, Scope, and Future Development of Social Quantum Field Theory

Chapter 16 · Applications of Social Quantum Field Theory

Chapter 17 · Computational Implementation and Numerical Simulation

Chapter 18 · Toward a Unifi ed Mathematical Theory of Social Fields

PART II · DYNAMICS & STRUCTURE 

Chapter 19 · Quantization of Social Fields

Chapter 20 · Interaction Vertices and Perturbation Theory of Social Fields

Chapter 21 · Spontaneous Symmetry Breaking and Emergent Institutional Order

Chapter 22 · Critical Phenomena and Renormalization in Social Quantum Field Theory

Chapter 23 · Topological Phases and Topological Protection in Relational Systems

Chapter 24 · Information Geometry and the Curvature of Relational FieldsChapter 25 · Quantum Information Theory and Relational Information Dynamics

Chapter 26 · Relational Entanglement Networks and Tensor Network Representations

Chapter 27 · Bayesian Inference and Statistical Learning in Social Quantum Field Theory

Chapter 28 · Physics-Informed Artifi cial Intelligence for Social Quantum Field Theory

Chapter 29 · Digital Twin Social Fields

Chapter 30 · Optimal Control and Decision Theory for Relational Fields

Chapter 31 · Inverse Social Field Theory: Reconstructing Hidden Relational Dynamics

PART III · GEOMETRY, GAUGE & PATH INTEGRALS 

Chapter 32 · Variational Principles and the Principle of Least Action for Relational Fields

Chapter 33 · Noether’s Theorem and Conservation Laws in Relational Fields

Chapter 34 · Gauge Symmetry and Gauge Fields in Relational Systems

Chapter 35 · Fiber Bundles and Diff erential Geometry of Relational Fields

Chapter 36 · Geometric Quantization of Relational Fields

Chapter 37 · Path Integrals and Functional Methods for Relational Fields

Chapter 38 · Diagrammatic Expansions and Relational Feynman Diagrams

Chapter 39 · Non-Perturbative Methods and Topological Solitons in Relational Fields

Chapter 40 · Quantum Anomalies and Emergent Symmetry Breaking in Relational Fields

PART IV · HIGHER STRUCTURES & SYNTHESIS 

Chapter 41 · Eff ective Field Theory and Multiscale Relational Dynamics

Chapter 42 · Information-Theoretic Foundations of Relational Fields

Chapter 43 · Computational Complexity and Tensor Network Representations of Relational Fields

Chapter 44 · Category Theory and Functorial Structures of Relational Fields

Chapter 45 · Topos Theory and the Internal Logic of Relational Fields

Chapter 46 · Homotopy Type Theory and Higher Relational Structures

Chapter 47 · Derived Geometry and Cohomological Structures of Relational Fields

Chapter 48 · Quantum Gravity Analogies and Emergent Relational Spacetime

Chapter 49 · The Mathematical Axioms of Social Quantum Field Theory

Chapter 50 · Conclusions and Future Directions

BACK MATTER 

Acknowledgements

Postscript

Afterword

References

Edition Roadmap

Historical Note

Appendix L · Notation

Index

Archival Certifi cation