Quantum Constraint Survival and Renormalized Physical Realization of the Wheeler–DeWitt Family

Description Quantum Constraint Survival and Renormalized Physical Realization of the Wheeler–DeWitt Family is the sixth paper in the Wheeler–DeWitt ARC. It takes the regulator-indexed, constraint-native candidate families constructed in WDW‑5 and tests which, if any, survive as lawful quantum realizations. Its central question is: Given separately typed Wheeler–DeWitt candidate families with defined configuration carriers, regulated constraint actions, and algebraic representation seeds, what further conditions are required for a candidate to survive quantum closure and attain renormalized physical realization? The manuscript carries the candidate families through the quantum obligations that WDW‑5 explicitly leaves open: regulator control, constraint-commutator closure, anomaly analysis, compatible representation and domain structure, and the construction of a physically meaningful constrained realization. Survival is not assigned merely because a regulated operator can be written or because a formal algebraic-dual solution exists. Its central passage is: constraint-native regulated candidate families⟶quantum constraint survival⟶renormalized physical Wheeler–DeWitt realization. The paper preserves the inherited WDW architecture: connection-typed canonical provenance, proper-redescription descent, constrained refoliation, joint classical gravity–matter occupancy, and the differentiated configuration-space structure. A proposed quantum realization must retain those constraint roles through renormalization rather than replacing them with a presentation-dependent operator prescription or an unqualified choice of representative. The endpoint is a surviving renormalized Wheeler–DeWitt family with physically admissible constrained realization data. It does not treat the result as an ordinary externally timed Schrödinger theory, nor does it make a clock choice, foliation, or semiclassical reduction primitive. Those relational, covariant–canonical, joint-kernel, and clock-neutral closure obligations belong to the subsequent WDW papers. WDW‑6 is thus the ARC’s quantum-survival threshold: it converts WDW‑5’s technically specified candidate level into the renormalized physical input required for the later profile-clock, semiclassical-recovery, and final global-closure stages.