Gravitational Wave-Induced Scrambling Delay in SYK Wormhole Teleportation

Traversable wormhole teleportation in the Sachdev-Ye-Kitaev (SYK) model links quantum channel integrity to black hole interior dynamics, using teleportation fidelity to probe holographic scrambling. We subject the SYK boundary to a gravitational-wave (GW)-inspired periodic Floquet deformation, mimicking a leading-order metric-strain perturbation from the JT-gravity dictionary. We characterize the channel response via exact numerical time evolution with disorder averaging at βJ = 2. The drive produces a coherent, frequency-selective fidelity suppression, yielding four main results: (i) two amplitude regimes separated near varepsilon sim J (perturbative sensing vs.\ strong-drive); (ii) the channel acts as a low-pass filter, most sensitive at ωlesssim β^-1 with monotone recovery above the thermal scale; (iii) an inspiral chirp drive delays the fidelity peak by Δt_{rm scr}^{\(rm fid\)} = +0.11 J^-1, corroborated by an out-of-time-order correlator (OTOC) diagnostic $Δt_{rm scr}^{(rm OTOC} = +0.20\, J^{-1}), establishing a genuine scrambling delay; and (iv) the effects persist acrossN \in \{10, 12, 14, 16\}$ Majorana modes, indicating no systematic finite-size suppression. These results establish that holographic teleportation channels degrade gracefully under GW-inspired boundary deformations, with direct implications for near-term quantum processor implementations of traversable wormholes.