Prevention-Theorem: Computational Implementation of Time-Dependent HIV Prevention Constraints Code and Data Repository

Computational implementation of "Finite Prevention Windows Under Irreversible Infection Establishment: A Mathematical Framework for HIV Post-Exposure Prophylaxis Timing" This repository contains the analysis code, figure generation, and reproducibility suite for the Prevention Theorem, which formalizes HIV prevention as a mathematical boundary condition problem. The theorem establishes that post-exposure prophylaxis (PEP) can achieve true prevention (R₀(e) = 0) only when initiated within a finite biological window prior to irreversible proviral integration. Key findings:- PEP efficacy decays monotonically as proviral integration completes- Effective prevention window compresses ~3-fold for parenteral vs. mucosal exposures (~12–24h vs. ~72h)- Structural access delays for PWID systematically exceed the compressed parenteral window, bounding population-level PEP efficacy below 10% Submitted to Journal of Infectious Diseases (JID-S-26-00368).Preprint: https://doi.org/10.20944/preprints202601.1090.v1GitHub: https://github.com/Nyx-Dynamics/Prevention-Theorem Orcid ID: 0000-0002-9216-8569 Interactive summary (narrated slide deck, mind map, infographic): https://nyxdynamics.org/research/prevention-theorem/