A Functional Analytic Framework For The Modeling Of Fatigue And Legal Liability Allocation

Ogbonna Nnamuchi

A Functional Analytic Framework For The Modeling Of Fatigue And Legal Liability Allocation

Author : Ogbonna Nnamuchi Journa Name: International Journal of Scientific Research & Engineering Trends Volume: 12 issue: 3 Year: Volume-12-issue-3 Views : 5

Abstract:

This paper introduces a formal framework utilizing mathematical functional analysis to bridge the gap between empirical sleep science and jurisprudence. By treating fatigue trajectories as functions within infinite-dimensional Banach spaces, we formalize how biomathematical fatigue inputs intersect with duty-of-care allocations within tort and regulatory systems, shifting the legal focus from rigid shift-hour compliance to systemic accountability.