The Cone of Reality: A Geometric Collapse Framework Linking Quantum Uncertainty, Time, and Gravity

This paper presents an updated geometrical interpretation of objective collapse models using a cone of reality framework to unify quantum uncertainty, gravitational self-interaction, and thermodynamic irreversibility. Building on GRW/CSL theory, Diósi–Penrose gravity-induced collapse, and decoherent histories, the model describes a continuous stochastic collapse dynamics embedded within spacetime geometry. A stochastic differential equation governs the evolution of a collapse surface constrained by gravitational self-energy, yielding a cone-like structure that captures the emergence of classicality and a microscopic arrow of time. Version 3 futher refines the mathematical formulation, the collapse dynamics are supplemented by an effective harmonic contribution associated with underlying unitary evolution and macroscopic amplification. Rather than introducing discrete triggers, the availability and coherence of such harmonic modes are encoded implicitly through a dimensionless activation factor that modulates the collapse rate according to system–environment structure. This allows harmonic (oscillatory) dynamics to be consistently incorporated into the cone-time description without introducing observer-dependent thresholds. The resulting framework provides a unified geometric representation of quantum state reduction, entanglement boundaries, and the transition from superposition to definite classical outcomes, while maintaining consistency with gravity-related collapse mechanisms and irreversible entropy production. The cone of reality thus emerges as a dynamical structure shaped jointly by stochastic localization, harmonic evolution, and spacetime geometry.This version includes a small update clarifying the collapse–geometry feedback loop, without altering the stochastic dynamics or phenomenological conclusions.