The present invention relates to computer-implemented data compression, file reconstruction, and information transmission systems. More specifically, it relates to a universal file reduction system wherein input data of any type — including image, document, and video files of arbitrary size — is transformed through a pipeline of Topological Geometric Calculus (TGC) computational operators into a fixed 32-byte residual payload, and subsequently reconstructed to full fidelity at a receiving node using a shared cryptographic seed state.