Information-Driven Loop Quantum Cosmology (ILQC): Unified Framework from Holographic Resonance to Ternary Information Topology

The Barbero-Immirzi parameter (γ) remains a fundamental ambiguity in Loop Quantum Gravity (LQG), traditionally calibrated to match the Bekenstein-Hawking entropy. We propose the Information-Driven Loop Quantum Cosmology (ILQC) framework, which derives γ as a dynamic Holographic Resonance Attractor. By treating spacetime as a self-optimizing information network, we demonstrate that the 3D topology of space is a thermodynamic necessity: informational density is maximized at base N ≈ e, favoring a ternary (qutrit) encoding (N = 3). This framework eliminates free parameters, replacing the anthropic principle with informational determinism. We predict a 1.58× Hawking temperature shift for micro-black holes and specific logarithmic echoes in gravitational waves (∆t ∝ ln 3). Furthermore, we describe a “ternary comb” modulation in the CMB B-mode polarization spectrum as a direct signature of the Big Bounce resonance.