On the Geometric Dynamics of Spacetime and Vacuum Energy <b>-P</b><b>reliminary Version-</b>

This work presents a preliminary framework that seeks to describe vacuum energy as an emergent property of spacetime geometry and entropy, through a covariant and parameter-free approach. Rather than treating vacuum energy as a fixed cosmological constant, the model aims to link it dynamically to spacetime curvature and horizon thermodynamics. The proposal naturally suppresses vacuum energy in the early universe and allows it to emerge at late times, in line with the observed acceleration of the cosmos.While the model is internally consistent, several key components—such as the exact form of the entropic screening function and the geometric scale—are still heuristic and require further derivation from first principles. Work is ongoing to strengthen these foundations.Anyone interested in extending, refining, or challenging this idea is warmly welcome to do so. Thank you sincerely for taking the time to read this work.