Z3 P3 Emergent Information Geometry - Unified Framework R01

Z3 Information Substrate R06 - Paper P3: Emergent Information Geometry - Unified Framework R01 This is Paper P3 of the Z3 series - Unified geometric framework from entanglement. Companion records:Paper 0 Master Overview & Methods: 10.5281/zenodo.22794696Paper 1 Full Proofs P1-P10: 10.5281/zenodo.22796218Paper 2 Emergent Flatness Thin Cylinder: 10.5281/zenodo.22797174 ABSTRACT:Standard physics assumes geometry first, matter second. Z3 inverts this: Information geometry emerges from entanglement structure of 2D Transverse Field Ising Model (TFIM) at critical point g=0.60. This P3 paper provides the unified framework:- Fisher information metric g_ij from DMRG entanglement spectrum- Emergent spacetime metric = entanglement distance metric- Single DMRG point g=0.60 (L=40-80, chi_max=200, nu=0.63) generates full 3D Ising universality -> emergent 3+1D geometry- No background geometry assumed - all curvature, connection, geodesics derived from Z3 substrate Proves how P1 (Gravity/Inertia), P2 (Flatness) and P4-P10 all share same information-geometric origin. DMRG PROOF: Measured, not fitted. Single critical point explains 10 cosmology problems. Author: Ralf Diekmann - ORCID: https://orcid.org/0009-0009-4284-7318License: CC BY 4.0Keywords: Z3 theory, emergent geometry, information geometry, DMRG, TFIM, entanglement, quantum gravity