Chapter 54: The Global Cartesian Gluing

Chapter 1 posed the driving question: where does three-dimensional Cartesian space come from? Chapter 2 identified eight coherence guarantees. Chapter 74 exhibited every guarantee as a named structural force backed by an earned theorem. This chapter assembles the payoff. Section 1 shows that the eight forces constrain the transition maps between overlapping local bulks to mutual compatibility. Section 2 states and proves the Global Cartesian Gluing Theorem (the relevant theorem, III.T50): the local Hartogs bulk projections glue into a globally coherent three-dimensional space M_{τ³}. Section 3 proves that the decompactification limit τ³_R → ℝ^3 recovers Euclidean space with O(ι_τ²) corrections. Section 4 introduces the Minkowski Extension (the relevant definition, III.D76): 3+1-dimensional spacetime with Lorentzian signature earned from the split-complex boundary ring. Section 5 states the Constants Firewall: Book III provides structure; Books IV–V provide values.