Global Cartesian gluing and decompactification

When the carrier guarantees hold, the local Hartogs bulks assemble into a coherent global three-dimensional Cartesian readout. The residual τ^3_R structure decompactifies at human scales into an R^3 readout. Thus ordinary three-dimensional space is not an input to the theory: it is the large-scale readout of globally glued Hartogs interiors. The step is bridge-pending on the disclosed Book III custom axioms, but its construction role is clear: this is where canonical τ^3-geometry becomes an E_1 spatial carrier. Here III.T50 refers to the corpus/manuscript Global Cartesian Gluing theorem; it is manuscript/registry-backed, not claimed here as the current TauLib label/module.