Runaway Informational Collapse: Informational Saturation as a Trigger for Objective Wave-Function Reduction

We propose a model of objective wave-function collapse in which reduction is triggered not by a fixed rate or by gravitational self-energy alone, but by the approach of the reduced von Neu- mann entropy SvN toward a fraction η of the Bekenstein bound IBek applicable to the system. Dynamics are governed by a Lindblad master equation with a position-based collapse operator in- herited from Continuous Spontaneous Localization (CSL), supplemented by a feedback function F(SvN /ηIBek) = (1 − SvN /ηIBek) −1 that diverges as the system approaches informational satura- tion. The model recovers the Di´osi Penrose (DP) timescale in the limit SvN ≪ ηIBek, resolves a divergence present in the predecessor “Stochastic Rupture” model for d ≫ σx, and makes a qualita- tively new prediction absent from both DP and CSL: systems with high entanglement entropy but no spatial superposition should undergo collapse on timescales of order τ ∼ γ −1 0 (1 − η), potentially as short as 10−8 s for macroscopic entangled systems. We identify explicitly every postulate and every regime of approximation.