The AdS/CFT correspondence, proposed by Juan Maldacena in 1997, is one of the most influential conjectures in theoretical physics. It posits an exact duality between gravity in Anti-de Sitter (AdS) space and conformal field theory (CFT) on its boundary. We demonstrate that the exact Maldacena duality requires an infinite conformal boundary and infinite degrees of freedom in the CFT. When the boundary is made finite at the structural maximum digit (rmax = 9 ℓP in base-10, or dmax in any base), the gravitational partition function ZAdS caps while ZCFT grows unbounded, producing deviations of order 100 %. Unlike the original conjecture, which makes no falsifiable predictions, our finitism reframing yields three concrete, experimentally accessible predictions: modified gravity at 10^-18 m (≈10 % deviation from Newtonian), a finite Kaluza-Klein spectrum (only 100 modes at string scale), and energy-dependent Lorentz violation (|Δv/c| ∼ 10^-15). The original conjecture, therefore, holds only in an unphysical infinite limit and is an approximation, not an exact duality, in any physically realizable theory. This is not a small correction; it is a complete breakdown of the conjecture as an exact duality. Our results demonstrate that AdS/CFT is an approximation. The universe is computably finite, and infinity is a representational artifact, not physical reality. Unlike standard string theory, our finitism framework yields falsifiable claims that are computationally derived and experimentally accessible. String theory is not the "God theory" beyond verification; it is physics, and therefore must be falsifiable.
Ramos et al. (Fri,) studied this question.
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