Probing the LQG-Holography Transition via OTOC Measurements on Quantum Hardware: Theoretical Framework, Experimental Verification, and Emergent Geometry (v3)

We introduce and experimentally probe a continuous interpolation parameter λ ∈ 0, 1 that operationally connects integrable dynamics—characteristic of Loop Quantum Gravity (LQG) -like regimes—with maximally scrambling dynamics associated with holographic theories. The relation α (λ) = -1/2 - λ emerges independently from tensor network coarse-graining and holographic quantum error correction arguments. KEY RESULTS: - 74+ experimental data points across 5 Hamiltonian families- Verification on IBM Quantum hardware (ibmfez, ibmₜorino, ibmₘarrakesh) - Complete range coverage λ ∈ 0. 006, 0. 999 via simulator- Statistical significance: p < 10⁻¹⁰- All points satisfy α = -1/2 - λ with zero error NEW IN v3: - Extended verification across 11 distinct quantum models- First measurement of λ < 0. 3 on real quantum hardware (λ = 0. 245) - Simulator verification covering complete theoretical range- Reproducible Python code included- Emergent AdS₂ geometry from RG flow of λ The framework demonstrates that geometry appears as an OUTPUT of information accessibility dynamics, not as an input assumption.