ATHOS–Facilitation: A Theoretical Framework for Robustness in Cognitive and Physical Disability Facilitation up to \(10^{308}\) Interactions

The ATHOS–SHADOW/ANCOVA framework provides epistemic stress testing for the ATHOS Disability Facilitation Suite, addressing cognitive (e.g., ADHD executive variance, autistic sensory overload) and physical (e.g., paraplegic motor drift, chronic fatigue) disabilities. Conceptually robust up to \(10^{308}\) interactions—the IEEE 754 double-precision limit—it employs SHADOW for variance sampling of neurocognitive and biomechanical discontinuities, and ANCOVA for residual modeling of longitudinal drift, without requiring computation. Formal proofs outline asymptotic continuity under extreme variability. Aligned with EU AI Act high‑risk obligations, the architecture supports stable, inclusive facilitation across infinite-scale human heterogeneity.