Collatz Final Gate v8.4 — Proof-completion reduction via an EB-only closure packet (Level-2A/2B schema; Gate B auditable interface; manifest-sha sealed demo)

Key Points

• The research aims to develop a program that reduces the complexity of proving the Collatz conjecture through an absorption framework.
• Developed a reduction and certification program for the Collatz conjecture.
• Recast the Collatz map as Markov-type dynamics on a specific moduli space.
• Established a global Poincaré spectral-gap inequality for the annealed Dirichlet form.
• Introduced a Gate B certificate interface to isolate arithmetic bottlenecks.
• Identified explicit bounds for spectral gaps in a derived inequality.
• Demonstrated that a single arithmetic target can close the Gate B bottleneck.
• Established a structure for certificate-driven interface compliance and verification.