Abstract We investigate the emergence of spacetime geometry within the AdS/CFT correspondence by explicitly incorporating quantum coherence effects arising from finite coherent superpositions of closed-string modes forming mesoscopic quantum D-branes. We show that the stage at which quantum coherence is suppressed relative to the construction of the emergent geometry significantly influences the resulting spacetime structure. Suppressing coherence prior to constructing the effective geometric description yields a purely classical Anti-de Sitter (AdS) geometry, whereas constructing the geometry from a coherent state and only subsequently suppressing interference leads to controlled quantum corrections of order O (M^-2) O (M - 2) to the AdS background. We further demonstrate that both microscopic coherence between string modes and mesoscopic coherence among D-branes distinctly shape the resulting spacetime structure, introducing measurable quantum deviations from classical geometry. Our results provide critical insights into how quantum coherence may underpin the emergence of classical gravity and offer new directions for studying quantum-gravitational phenomena within holographic frameworks.
Andrei T. Patrascu (Mon,) studied this question.