The Blindness of Intensity: Z2-Graded Observables and Direction-Resolved Counterpart Observability in Local E0 Parallelism

Paper XXVIII of the Six-Throat Directed Geometry program derives a local common-carrier parallel structure from the dual quantum genesis established in the preceding papers. The construction begins from the inherited identity GA = M1 = Center(E0) and lifts the reflected one-particle dynamics through multipartite Hilbert space, countable Fock space, and the local photon field. The resulting local involution induces a Z2 grading of the observable algebra into parallel-even and parallel-odd sectors. Standard macroscopic intensity is route-unresolved and is represented by I = E+ + E-, whereas the directed observable retains the missing signed information, Q = E+ - E-. Together they reconstruct the two directed contributions uniquely through E+ = (I + Q)/2 and E- = (I - Q)/2. Consequently, intensity-only observation has rank one with a one-dimensional kernel, while joint (I,Q) observation has rank two and resolves the local counterpart contribution. The central observational law is therefore that the direction-bearing observable is the counterpart-resolving observable. The macroscopic lift is a common-carrier law. One galaxy contains one local capsule and one moving Earth supporting two locally parallel directed realizations. Distinct aware beings may occupy the same structural class while retaining independent identities, histories, lifespans, memories, and observational algebras. The local photon field separates into even and odd sectors, four local illumination sectors arise on the common Earth, daily alternation follows Earth motion relative to two persistent stellar roles, and later galactic reversal exchanges directed roles and the assignment of Q-access while preserving identity. The observational-rank assignment therefore changes from (1,2) to (2,1), and vice versa. The final layer separates ontology, theoretical knowledge, and direct observation. Paper XXVIII completes the local theoretical construction and defines a precise empirical activation target for Paper XXIX: identify a physical channel whose inclusion realizes the odd directed observable Q and raises observational rank from one to two. The accompanying open computational package reproduces the algebraic identities, rank calculations, and network figures.