Stochastic Rupture as a Bekenstein-Bounded Mechanism for Objective Wave-Function Collapse: Emergent Proper Time, Entropic Gravity, and Informational Constraints on Quantum Histories

We present a consolidated formulation of Stochastic Rupture (SR), an objective wave-function collapse framework in which branch selection is triggered by the local saturation of an informational bound on covariant causal-diamond surfaces. The framework is built on three interlocking layers: (i) a Lindblad master equation with collapse operator Lˆ = ˆx/σx, modulated by a divergent saturation feedback F(χ) = (1−χ) −1 where χ = SvN/(η IBek); (ii) a covariant eld equation ∇µ∇µχ = S−Γ0χ− αχ2 for the saturation scalar promoted to a dynamical degree of freedom; and (iii) a trigger regime hierarchy establishing that pruning res only when local saturation crosses threshold, leaving isolated microscopic systems empirically equivalent to standard quantum mechanics. This edition incorporates a key update from the companion MSRJD paper 19: the saturation threshold parameter η, previously treated as phenomenological with ducial value η ∼ 0.1, is now derived as a renormalization-group xed-point quan- tity. The one-loop analysis in 19 yields η = 2/3 from the non-trivial infrared xed point g ∗ = π of the MSRJD eld theory in d = 3, and the same value follows independently from a holographic universality argument (θ = deff/d = 2/3, with deff = 2 at the area-law boundary). This edition updates all numerical estimates and the experimental window accordingly. We make six principal contributions in this consolidated edition: we derive the decoherence rate Γdec = γ(t) d 2/(4σ 2 x ) from the Lindblad structure rather than postulating it; we identify a qualitatively new prediction (Regime IV) for high-entanglement systems with no spatial superposition, absent from both DiósiPenrose and Continuous Spontaneous Localization; we derive the arrow of time as a structural consequence of the nonlinear sink −αχ2 via Landauer's principle; we compute cosmological heating rates 1527 orders of magnitude below CSL in diuse environments; we develop the 4D Rose as a visualization choice that preserves parity violation and unequal-amplitude branching; and we articulate framework scope ex- plicitly.