Tier-2 Relational Admissibility and the Emergence of Spacetime

This paper introduces Tier-2 Relational Admissibility as a structural framework for examining the conditions under which geometry, temporal ordering, and spacetime may become admissible. Rather than beginning with spacetime as a fundamental, pre-existing arena, the paper asks a prior structural question: What relational conditions must be satisfied before stable geometry, measurable succession, and spacetime reconstruction become possible? Within the Paton System, Tier-2 represents a relational differentiation layer in which possible relations are evaluated according to admissibility, continuity, recursive stability, and compatibility with surrounding constraints. The proposed structural progression is: Tier-2 Relational Admissibility ↓ Recursive Stability ↓ Emergent Geometry ↓ Temporal Ordering ↓ Spacetime Under this interpretation, spacetime is treated not as an assumed starting condition, but as a downstream structural reconstruction supported by sufficiently stable and persistent relational continuity. The paper does not introduce new particles, forces, fields, or physical laws. It does not replace General Relativity or Quantum Mechanics and does not claim a completed theory of quantum gravity. Its contribution is structural and interpretive: it defines a proposed pre-geometric admissibility layer through which relational configurations may become sufficiently coherent and persistent to support geometry and temporal ordering.