Dark Matter as Projection Residue: Sterile Fiber Modes, Gauge Singlets, and the Gravitational Shadow of Pre-Coherent Structure

The Quantum Blueprint Formalism (QBF) describes physical reality as the projection πΘ: Ms → MΘ from an infinite-dimensional pre-coherent possibility space to a four-dimensional coherence manifold. The projection is over-determined: dim(Ms) = ∞ ≫ dim(MΘ) = 4, producing nontrivial fibers whose internal structure generates the gauge fields of the Standard Model (Schmieke, 2026s). This paper identifies a previously unanalyzed consequence of the projection: not all fiber modes couple to the Standard Model gauge group. Modes that are singlets under SU(3) × SU(2) × U(1) but carry nonzero tension Φ contribute to the energy-momentum tensor and hence to spacetime curvature, while remaining invisible to electromagnetic, weak, and strong interactions. We call these modes projection residues. We derive their existence from the structure of the fiber and the admissibility conditions, establish that (A3) constrains their abundance, show that their gravitational coupling follows from the universality of the tension–curvature relation (Schmieke, 2026x), and demonstrate that they satisfy all five empirical constraints on dark matter: gravitational interaction, no electromagnetic coupling, stability on cosmological timescales, abundance consistent with observations (constrained but not computed from first principles), and consistency with structure formation. The QBF thereby identifies dark matter not as a new particle species added to the Standard Model, but as the gravitational shadow of the pre-coherent structure that survives projection.