Conservation of Entropy and Landauer Limit Approach to Gravity in a Holographic Framework

This paper explores how the Landauer Limit at Hawking Temperature input builds a bridge between quantum mechanics and General Relativity. By starting with the energy cost of measurement in constrained degrees of freedom, we uncover insights into gravitational energy and black hole thermodynamics. As the framework develops, it reveals connections to larger questions in physics, including the emergence of dark energy and the role of entropy in cosmic evolution. This step-by-step approach is built on known principles to suggest a unified perspective.