Quantum Holographic Black Holes: A Unified Framework Bridging Loop Quantum Gravity, String Theory, and AdS/CFT

I present a quantum gravitational model of black holes that resolves key paradoxes in black hole physics, including the information loss problem, singularity issue, and thermodynamic inconsistencies. By integrating insights from Loop Quantum Gravity (LQG), AdS/CFT holography, and String Theory’s fuzzball paradigm, we propose a quantum-corrected black hole metric that introduces an inner Planck-scale horizon, preventing singularity formation. Our model naturally modifies black hole entropy, incorporating quantized microstates consistent with both LQG area spectrum and holographic principles. Additionally, I derive a Schrödinger-like wave equation for black hole microstates, demonstrating that black holes evolve as quantum wavefunctions rather than classical singularities, ensuring unitary evolution and resolving the information paradox. The framework predicts observable signatures, including deviations in Hawking radiation spectra, gravitational wave echoes, and remnant stabilization at the Planck scale, which can be tested with future astrophysical and analog black hole experiments. This work suggests a deeper connection between quantum gravity, holography, and quantum information theory, pointing toward a unification of background-independent (LQG) and background-dependent (AdS/CFT) approaches.