Social Quantum Field Theory (SQFT) Formalizing Relational Sociology Beyond Bourdieu's Field Theory Author Chou_IHsien Version 2.0 (Mathematical Edition) Social Quantum Field Theory (SQFT) is proposed as a formal mathematical framework for representing relational dynamics in social systems. It does not claim that societies obey quantum mechanics. Instead, it adapts selected mathematical structures from quantum field theory as modeling tools for complex relational organization, structural transformation, and collective dynamics. Chapter 2 Mathematical Philosophy of Social Quantum Field Theory 2.1 Why Another Mathematical Language? Modern sociology has long sought mathematical frameworks capable of describing the emergence of collective behavior without reducing society either to isolated individuals or to deterministic institutional structures. Classical statistical models successfully identify correlations among observable variables, while network theory captures patterns of co...