Causal Differential Systems: Analyzing the Navier–Stokes Equations through the Lens of Information Flow Collapse

This paper reinterprets the Navier–Stokes Existence and Smoothness Problem through the lens of Causal Systems Theory, proposing that the blow-up behavior traditionally seen as a purely mathematical issue is in fact the manifestation of recursive causal overload. We introduce the concepts of semantic viscosity, recursive attractors, and causal firewalls to explain the dynamics of entropy compression and structural stabilization. Drawing parallels between fluid turbulence, cognitive overload, and civilizational collapse, the paper proposes a unified framework—the Causal Completion Framework (CCF)—as a potential pathway toward proving conditional existence and smoothness, grounded not in formal equations alone but in the logic of system stability across scales.