Dynamics in systems

This working paper presents Theory A of the Saidi Framework — a formal dynamical framework for the onset, maintenance, and resolution of psychological suffering in conscious systems. The framework derives from a single foundational axiom a scalar fear parameter f, a reachability gramian W, and the master equation Δ = W · f. The cubic measurement function m(f) = 3f² − 2f³ is uniquely derived from Fisher information geometry, fear/confidence symmetry, and the minimum-structure principle. A Hopf bifurcation at critical delay τ_c = 4.87/α produces the Saidi constant κ_S ≈ 4.87, confirmed across three independent physiological bands. Eight falsifiable predictions are generated, including a 72-hour golden window following saddle-point ejection therapies. Theory A is evaluated against 25 independent bodies of existing literature. Theory B, grounding Theory A in a physical framework of movement and scale invariance, is in preparation.