What question did this study set out to answer?

To demonstrate that the deployment manifold admits a Lorentzian continuation through three independent proofs.

April 10, 2026Open Access

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

Puntos clave

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.

Resumen

Three independent proofs that the 3D deployment manifold (O, R, α) admits a Lorentzian continuation: Eisenhart-Duval lift (5/5), Osterwalder-Schrader reconstruction (5/5), and Wick rotation time identification (5/5). The (2,1) base signature lifts to (3,2) = SO(3,2), the conformal group of 3D Minkowski space and the isometry group of AdS₄. Fifteen kill conditions tested, fifteen passed.

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Anthony W. Eckert

Damghan University

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

Puntos clave

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Authors

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