A Dependency Audit from Oriented Chain Incidence to Split Characteristic Geometry: Standard Hodge, Graph, Graded-Algebra and Local-Propagation Components with Explicit No-Shortcut Gates

We study a finite-dimensional dependency-audit problem in which split characteristic geometry and local propagation are admitted only after a sequence of typed algebraic and carrier conditions has been certified. The construction begins with an explicitly graded tensor-product chain complex: directional boundary operators carry Koszul parity prefixes, so their pairwise anticommutation follows factor by factor rather than from an unjustified cancellation of mixed terms. An elementary direct identification of a nilpotent boundary operator with an involutive reversible-transfer operator is impossible under the linear intertwining requirement JD=BJ: if D²=0 and B²=I, then J=0. With an independently fixed positive pairing, Q=d+d* and its regular-sector sign QΔ-1/2 provide the standard Hodge-Dirac involution. For an isometric reversible channel T, the two-term graph incidence ∂_T x=(-x,Tx) gives a regular Hodge sign that is unitarily equivalent to the source/target exchange B_T(v_s,v_t)=(T⁻¹v_t,Tv_s). Specialist prior-art review shows that this bridge lies within standard operator-graph and polar-sign machinery: for unitary T, the characteristic projection onto graph(T) satisfies 2P_graph(T)-I=[[0,T*],[T,0]]=B_T. Taking graded products then gives the standard parity-string generators C_i=(Γ_1···Γᵢ₋₁)B_i, whose anticommutation is familiar from graded tensor and Jordan-Wigner constructions. The principal family L(e)=Σ_i e_iC_i satisfies L(e)²=||e||²I and, on a balanced graded representation, det(cI+L(e))=(c²-||e||²)^(N/2). When c and e_i are independently certified as probes in one common response-cotangent sector, the reduced quadratic defines a non-degenerate split co-metric class of inertia (d,1) up to global sign. A separate nearest-neighbour continuation law using the same principal response has finite graph-domain of dependence, the exact finite-lattice phase relation sin²ω=Σ_i sin²k_i, explicit bidirectional transport in one channel, and finite spectral reconstruction under an observability condition. None of these steps identifies the formal cone with empirical spacetime. The component mathematics is established precedent or elementary consequence; the manuscript therefore makes no independent component-theorem novelty claim. Its remaining candidate contribution is methodological: a provenance-controlled no-shortcut audit that keeps operator types, same-carrier requirements, countermodels, locality, observability, and physical calibration as distinct gates. External review should judge whether that audit architecture is useful enough to merit publication as a synthesis or foundations methodology.