Technical Addendum: Dimensional Gauge Reduction and the Observational Dormancy of String Quanta

We formalize a rigorous topological addendum to Phase Inversion Cosmology, mapping the strict structural reduction of coordinate-tracking and time-finding instrumentation across scale layers toward the Planck micro-limit (r₋). This provides the definitive geometric proof explaining the observational dormancy of string-scale mechanics within an active, expanding three-dimensional spacetime bulk.