Holography Without Circularity: Why Spacetime and Geometry Cannot Emerge from Geometry

The AdS/CFT correspondence, ER = EPR conjecture, and entanglement-based approaches to spacetime emergence are often interpreted as mechanisms by which spacetime geometry arises from non-geometric quantum structures. This paper shows that such interpretations involve logical circularity. Geometry, spacetime, and causal structure cannot be ontologically generated by entities that already presuppose geometric organization. The paper demonstrates that AdS/CFT is not a generative duality but a closure correspondence between interior and boundary descriptions of a single underlying dynamics. Entanglement, ER bridges, and tensor network constructions are shown to function as correlational or representational encodings of stabilized geometry rather than mechanisms of geometric generation. A unified ordering principle is presented in which spacetime appears only as a stabilized closure constraint of deeper pre-geometric dynamics. A concise referee-facing closure summary is included.