Memory Propagation Across Planck Domains: \\ A Logic of Existence (LoE v3.3) Framework for Quantum Geometry

This paper, titled "Memory Propagation Across Planck Domains: A Logic of Existence (LoE v3.3) Framework for Quantum Geometry," introduces a novel framework for understanding the nature of reality at the most fundamental level. The central thesis challenges the traditional view of information transfer across discrete Planck-scale domains. Instead of information traveling through space, the author proposes that it endures through a process of "resonant persistence". This is achieved by unifying principles from loop quantum gravity, the holographic principle, and non-linear field dynamics. According to the Logic of Existence (LoE), spacetime itself is a dynamic, resonant network. The paper posits that information continuity emerges from persistent phase synchronization among fundamental, self-referential fields. Using a formalism similar to the Kuramoto model for synchronization, it defines a collective order parameter that quantifies the coherence of the network. Memory, in this view, is the preservation of this coherence over time.