The Franquero Entropy Framework (FEF): Extension to Macroscopic State-Vector Transport, Non-Local Kernel Routing, and Programmable Destination Control

This paper extends the Franquero Entropy Framework (FEF) from local state functional evolution along relative entanglement entropy gradients to non local, macroscopic metric mapping and programmable destination routing. By replacing the standard time derivative with evolution along an entropic gradient and utilizing a Riesz potential fractional kernel, we formalize the mechanisms for mass friction cancellation, aperture capacity integration, and spatial modulation beamforming. The resulting framework provides a rigorous mathematical blueprint for non local state vector translation across macroscopic baselines.