EGESB-G₂ Preprint Series — Paper I: The Entanglement Lattice Substrate and Emergent Spacetime (v4.0 — with explicit derivation status)

This is version 4.0 of Paper I, published 17 March 2026. v4.0 supersedes v3.0 / 1.0 (published 16 March 2026). In v3.0 several continuum results (Sections 4–6) were presented without explicit caveats. v4.0 introduces clear derivation status labels:• [PROVED] = complete proof within this paper• [DERIVED: conditional on OP-1] = formal scheme pending rigorous continuum limit• [ORDER-OF-MAGNITUDE] = estimate only All results in Sections 4–6 are now correctly marked as conditional on OP-1 (critical open problem). This version is fully aligned with the master document EGESB-G₂ v6.3 and with Paper II v2 (which already contains the corrected soliton integral 4/15). v3.0 is deprecated and should no longer be cited.