Protomaton-Holographic Transcription Cosmology (PHTC): A Dimensionally Consistent Projection Framework

We present a projection-based framework in which observable spectral properties, superconductivity, and cosmological signatures arise from a two-dimensional screen with a finite frequency cutoff. Three assumptions are made: (1) a two-dimensional screen with a scalar field; (2) a linear projection kernel to three-dimensional space; (3) a hard frequency cutoff.Every equation is dimensionally checked. The framework is applicable within specified energy ranges; it does not claim to describe all scales with one set of parameters. All derivations are self-contained.