Relational GNS Fusion and an Idempotent Gauge-Gravity Fixed Point
We propose a relational noncommutative framework in which quantum kinematics, semiclassical geometry, internal gauge structure, and ultraviolet fixed-point behaviour arise as sectors of a common $*$-algebra equipped with a positive state and its Gelfand--Naimark--Segal (GNS) representation. The central construction is...