Act as a theoretical physicist. Explain the Black Hole Information Paradox in detail, covering the conflict between Quantum Mechanics (unitarity) and General Relativity (no-hair theorem). Discuss the significant proposed resolutions: the holographic principle (AdS/CFT correspondence), black hole complementarity, and the recent firewall controversy. Your explanation should include a conceptual analysis of Hawking radiation and how it relates to entropy preservation, concluding with the current consensus among researchers regarding the fate of information falling into a singularity.