The HγC Framework: A Layered Overview of Relational Accumulation and Emergent Gravity

The HγC framework is an ongoing emergent-gravity research programme built from a relational and history-based starting point. Rather than beginning with spacetime geometry, a modified force law, or a new hidden matter component, it proposes that part of gravitational phenomenology may be understood as the large-scale effect of retained relational structure after coarse-graining. In this picture, the accumulation field A(x) is not a fundamental microscopic field, but an emergent mesoscopic descriptor of retained relational organization. A central feature of the framework is that it has developed in layers. The relational-historical substrate is established first; accumulation becomes meaningful only after coarse-graining; regime structure becomes central through the physically realized coarse-graining descriptor γ; effective time is admitted only after sufficient mesoscopic stabilization; weak-field geometry appears only as a secondary encoding of an already developed accumulation sector; and quantum-effective language becomes legitimate only in a later and restricted regime. HγC is therefore best read not as a finished theory presented all at once, but as a layered order of emergence. This overview reconstructs that architecture. It explains the transition from relational history to accumulation, the role of regime logic and near-criticality, the development of the galactic observational line from structured near-critical bands to bounded closure, the temporal and fluctuation-sensitive W-line, the weak-field geometric and projected-profile branches, and the cosmological extension. It also clarifies what the framework has and has not yet achieved. HγC now possesses a coherent internal architecture, but not yet a final microscopic completion, a full covariant relativistic closure, a universal quantum completion, or a finished precision-calibration programme. The purpose of the present overview is to provide an entry point into the HγC series by making its internal order explicit. It is written not as a claim of final completion, but as a map of the framework’s main layers, thresholds, open problems, and reading paths.