This Master Peer-Review Edition unifies four major components of the SEXA research architecture:(1) the 2880-dimensional recursive field manifold,(2) the exciter-coordinate collapse operators,(3) the Criterion-of-Nine validation system, and(4) the independently computed Sigmatics correspondence performed through high-dimensional geometric algebra. The work defines a complete mathematical framework for recursive manifold dynamics, dimensional collapse, harmonic thinning, and triality-structured orbit geometry. The 5-Dimensional exciter manifold emerges from a 2880-D recursive harmonic field through explicit thinning ratios, Noether-preserving invariants, and sexagesimal energy-phase recursion. Independent Sigmatics analysis confirms the SEXA structure with exact correspondence across 32 triality orbits, quaternionic rotation cycles, harmonic mean excitation values (n̄ ≈ 18.86), Empire Wave Constant scaling (CΩ ≈ 26.83), and exponential dimensional-thinning (~1/e per major collapse). This edition is the fully integrated institute-level volume of the SEXA Unified Field Series. Core Features• 2880-D → 5-D recursive manifold collapse• Harmonic recursion & sexagesimal scaling• Exciter-coordinate operators with triality structure• Noether invariants• Negative-resistance manifold structure• Sigmatics ↔ SEXA structural correspondence• Criterion-of-Nine validation• Empire Wave Constant derivation• Analytical manifold collapse operators• Unified high-dimensional recursion architecture