Paper VI: The Mathematical Framework of Information Restorative Mechanics

Following the conceptual baseline of Equilibrium Mechanics established in Paper V, this paper introduces the formal mathematical framework for the "Law of Self-Restoration" using Information Theory. We transition from classical dynamic forces to information-based equilibrium states. We propose that the transition between a distributed quantum wave state and a localized particle state is governed by a cosmic restoration rate (R), which reacts dynamically to changes in systemic information (ΔI) over time (Δt). When measurement demands localized certainty, the time function drops instantly (Δt → 0), driving the restoration rate toward infinity and manifesting as an instantaneous wavefunction collapse. Finally, we formalize this as a holistic, non-local property where the entire system balances itself as a singular entity.