Lorentzian Continuation of the Deployment Manifold: Three Independent Proofs and the SO(3,2) Connection

Key Points

• To demonstrate that the deployment manifold admits a Lorentzian continuation through three independent proofs.
• Eisenhart-Duval lift applied to the deployment manifold.
• Osterwalder-Schrader reconstruction utilized for analysis.
• Wick rotation employed to identify time in the context.
• All fifteen kill conditions tested successfully passed.
• The base signature (2,1) lifts to the conformal group SO(3,2).
• Established connection to both 3D Minkowski space and AdS₄.

Abstract