Explore the intricacies and conceptual challenges of the Holographic Principle in the context of the AdS/CFT correspondence. Investigate the fundamental ideas behind the holographic duality proposed by Juan Maldacena, which suggests an equivalence between a higher-dimensional gravitational theory and a lower-dimensional quantum field theory. Analyze the mathematical foundations and implications of this principle, including the idea that all the information contained within a region of space can be encoded on its boundary. Assess the potential revolutionary impact of the Holographic Principle on our understanding of quantum gravity, black holes, and the nature of spacetime itself.