Co-Emergent Dual-Modal Holography: Bidirectional Information-Geometry Symbiosis

We introduce co-emergent dual-modal holography, a framework where discrete information (Bit) and continuous geometry (Analog) emerge bidirectionally in symbiosis: geometry sources information, while information stabilizes geometry. Extending Wheeler's "It from Bit" to a full bidirectional cycle, we derive the universal bound, unifying the Bekenstein bound, area-law saturation in non-perturbative QFT, and holographic duality through an effective IR action featuring non-minimal ξ R I² coupling. The theory reproduces black hole thermodynamics, shows discrete topological order emerging from continuous backgrounds via ℤ₂ tensor networks, and predicts IR photon group velocity dispersion ,consistent with current Fermi-LAT GRB Lorentz violation constraints and testable with future high-energy observations. This bidirectional co-emergent paradigm offers a novel unification of quantum information, gravity, and geometry, addressing challenges in deriving holographic equalities from bounds and suggesting participatory universe dynamics.