The Riemann Projection Rebuttal: Assembly, Decompilation, and Lifted Collapse

The classical Riemann Hypothesis asks where the scalar projection ζ (s), or equivalently ξ (s), vanishes. This paper argues that scalar vanishing is not the complete collapse condition of the canonical reflected object. The completed reflection s ↔ 1 − s canonically lifts the object to a reciprocal three-coordinate state. The complex plane is only its projection. Therefore a scalar zero is a projected coincidence, not a full reflected collapse. The construction is bidirectional. The Assembly begins from the sampled screw primitive, generates the term n⁻ˢ, and exhibits the linked component bounds of radius, phase, and chord motion. The Decompilation begins from the completed reflected object, recovers the canonical reciprocal pair D (v) =e^ (αv), D (v) ⁻¹=e^ (−αv), and identifies the transported boundary H (v) =D (v) −D (v) ⁻¹=2sinh (αv). The morph M preserves this boundary in the lifted reflected object, while the scalar projection Π (x, y, z) = (x, y) hides it. The completed scalar kernel is recovered as the projection of the lifted reflected kernel, so the lift is not an auxiliary diagram but a factorization of the reflected kernel before projection. Since Π is not injective, scalar coincidence cannot certify full reflected collapse. Full lifted collapse requires equality in the suppressed reciprocal coordinate, equivalently H (v) =0. For D=e^ (αv) and v≠0, this forces α=0, hence Re (s) =1/2. At the sampled assembly coordinate v=log n, the same condition is Hₙ=n^α−n^ (−α) =0, which for n>1 again forces α=0. Thus the critical line is the projected lifted-collapse locus of the canonical Assembly and Decompilation object. KeywordsRiemann Hypothesis; zeta function; completed zeta function; scalar projection; lifted collapse; canonical reflection; reciprocal coordinate; sampled screw; decompilation; assembly framework; Riemann projection; critical line; nontrivial zeros; canonical reflected object; Appendix A Assemblies