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 (ibm_fez, ibm_torino, ibm_marrakesh)- 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.