Connection-Typed Canonical Projection of the Frozen Einstein–Source Realization

Description Connection-Typed Canonical Projection of the Frozen Einstein–Source Realization opens the Wheeler–DeWitt ARC by carrying the already realized Einstein–source structure into a canonical constrained form whose connections, identifications, and inherited roles remain explicitly typed. The paper begins from the general AASC kernel, especially Non-Degenerate Construction and the Kernel of Admissibility, together with the established physical, gravitational, and gravity–quantum realization architecture. It does not introduce a separate gravitational ontology or treat canonical variables as self-authenticating primitives. Its central question is: Given an authenticated frozen Einstein–source realization, what connection-typed canonical projection preserves its standing-bearing gravitational and source content while separating that content from foliation-, coordinate-, and chart-dependent presentation? Within its declared comparison class, the manuscript constructs the canonical projection of the frozen Einstein–source realization: spatial configuration data, conjugate momentum structure, lapse and shift roles, and the Hamiltonian and momentum constraint architecture. The connection typing ensures that inherited physical roles are not silently replaced as data pass between the realized Einstein–source structure and its canonical presentation. Its central passage is: [ \text{frozen Einstein--source realization} \longrightarrow \text{connection-typed canonical projection} \longrightarrow \text{preserved constrained input for the Wheeler--DeWitt ARC}. ] The paper distinguishes the standing-bearing realization from representational skin introduced by a foliation, coordinate choice, canonical chart, or variable representative. Such presentations may organize the canonical description, but they do not acquire primitive authority to alter the authenticated gravitational object, source attachment, or constraint role. WDW-1 is a beginning-of-ARC result. It does not yet derive the quantum Wheeler–DeWitt constraint, establish proper-redescription descent, prove refoliation closure, integrate classical matter, construct the configuration-space candidate family, or establish quantum constraint survival and final realization. Those obligations are addressed by the subsequent WDW papers. Its load-bearing role is to supply a canonically usable but physically faithful Einstein–source input: the later Wheeler–DeWitt construction must inherit a typed, preserved constrained realization rather than assemble its formalism from unconstrained canonical variables alone.