HγC I: A History-Based Relational Framework for Emergent Gravity

We propose a relational framework in which gravitational behavior is described in terms of an accumulated history field H(x, t). Rather than treating gravity as a fundamental interaction, this approach interprets effective gravitational dynamics as a macroscopic bias associated with gradients in accumulated relational history. The history field does not represent stored energy or interaction strength. Instead, it characterizes the local degree of historical updating of relational structure. Its monotonic accumulation provides a natural basis for temporal asymmetry at the effective level, while remaining compatible with time-reversal-symmetric microscopic laws. The present work develops a minimal conceptual and mathematical basis of a history-based description of gravity. In later work, this broader relational framework is reformulated in terms of effective accumulation fields adapted to phenomenological and cosmological applications; the present paper provides the underlying conceptual origin of that development.