Mathematical Modelling of Homosexuality: From Freudian Libidinal Logic to A Marxian Materialist Theory of Desire

Abstract

Freudian psychoanalysis has long framed homosexuality as a developmental deviation rooted in libidinal conflict. Yet this account remains theoretically individualist and weakly coupled to social structure. I formalize Freudian logic as a constrained dynamical system that enforces a single normative attractor and show that such a system necessarily produces psychological crisis when social heterogeneity is present. I then develop a Marxian materialist dynamical model in which sexual orientation is an emergent state variable shaped by cultural recognition, political-economic security, ideological enforcement, and affective support. Stability analysis shows that non-repressive regimes admit multiple stable equilibria — including non-heteronormative ones — whereas regimes dominated by repression collapse to enforced singular equilibria associated with distress. The results corroborate sociological and public-health observations: pathology is a consequence of repression, not of same-sex desire. The paper places mathematical modelling squarely in the service of social theory and policy.