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

Author

Listed:
  • Debashis Chakrabarti

    (Professor and Dean (Retd.), Assam University, Silchar, India & Commonwealth Fellow, University of Leicester, UK)

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.

Suggested Citation

  • Debashis Chakrabarti, 2026. "Mathematical Modelling of Homosexuality: From Freudian Libidinal Logic to A Marxian Materialist Theory of Desire," International Journal of Research and Innovation in Applied Science, International Journal of Research and Innovation in Applied Science (IJRIAS), vol. 11(3), pages 920-927, March.
    • Handle: RePEc:bjf:journl:v:11:y:2026:i:3:p:920-927
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    References listed on IDEAS

    as
    1. Farmer, P., 1999. "Pathologies of power: Rethinking health and human rights," American Journal of Public Health, American Public Health Association, vol. 89(10), pages 1486-1496.
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