HγC XI: Relativistic Status of Emergent Accumulation Geometry in the HγC Framework

Earlier work in the HγC framework introduced a weak-field geometric description of the accumulation profile and subsequently showed that weak-field lensing can be interpreted through projected accumulation geometry, while more recent analysis extended the framework to nonequilibrium systems with persistence, lag, and offset structure. These developments make relativistic language increasingly natural within the framework, but they also leave open the interpretive status of that language itself. In this paper we clarify the relativistic status of emergent accumulation geometry. We argue that the accumulation field A(x) should not be interpreted as a fundamental relativistic scalar sector or as a Higgs-like…