HγC VI: Self-Selection of Coarse-Graining Regimes in Relational Accumulation Gravity

In relational approaches to emergent gravity, macroscopic gravitational behavior can arise from the accumulation of microscopic relational updates. In previous work within the relational accumulation framework, an effective accumulation field was introduced to describe how retained relational structure influences large-scale dynamics after coarse-graining. However, the physical status of the coarse-graining parameter governing this process has remained unclear. In this work we propose that the coarse-graining parameter should not be regarded as an arbitrary external smoothing scale but as a dynamically realized regime descriptor. We introduce a minimal dynamical model in which two competing effects constrain…