Activated Cosmological Field Theory (ACFT): A Synchronization Compression Framework for Emergent Metric Structure

This work introduces Activated Cosmological Field Theory (ACFT) as a synchronization-compression framework for emergent metric structure. Rather than assuming spacetime geometry as fundamental, the framework investigates whether dense relational synchronization data can be represented by lower-complexity geometric descriptions. The central hypothesis is that smooth metric structures arise as asymptotically efficient encodings of operational synchronization histories subject to synchronization closure constraints. The framework is formulated entirely in terms of synchronization distance matrices, spectral observables, and compression metrics. No assumption is made that gravity, spacetime, or relativistic field equations are fundamental. Instead, geometry is treated as an informational compression layer acting on relational data. A target theorem—the Synchronization Compression Theorem—is proposed and a numerical research program is outlined for testing asymptotic dimensional collapse, reconstruction accuracy, and compression efficiency.