This paper introduces the Entropic Spacetime Field (ESF), a unified wave-based framework for investigating cosmic structure formation using a single canonical equation and a frozen parameter set. Rather than introducing different mechanisms for different astrophysical regimes, the framework explores whether one consistent wave equation can reproduce characteristic behaviour across the primordial plasma, filamentary structure formation, compact coherent objects, weak-field gravity and vacuum wave propagation. The accompanying benchmark programme consists of seven independent investigations: Plasma-era benchmark Filament formation benchmark Wave-momentum flux benchmark Compact-object benchmark Weak-field recovery benchmark Parametrised post-Newtonian (PPN) benchmark Vacuum propagation benchmark The benchmark implementations remain under active development and are therefore not included in this public release. Researchers interested in reproducing or extending the computational work are welcome to contact the author to discuss access to the current reference implementation. This publication represents the first public ESF v1.0 release. It is presented as a computational and theoretical framework for investigation rather than a finished physical theory. The accompanying paper identifies the framework's empirical assumptions, current limitations and open questions to encourage independent analysis, verification and future development.