Interference-First Reality: A Variational Information-Geometric Framework for Emergent Objectivity, Time, Spacetime, and Gravitation

We introduce Interference-First Reality (IFR), a theoretical framework in which physical objectivity is not assumed as a primitive property of the world, but is derived as a stable multi-observer limit of an underlying interference structure. The fundamental object of the theory is a pre-spatiotemporal interference state Ψ defined on an abstract configuration space X, together with a family of operational observer maps projecting Ψ into observer-accessible representation spaces. Agreement between observers is quantified by an information-geometric redundant dispersion functional. Within IFR, objective structures are defined as stable Fréchet-type centers of observer projections, and physical configurations are selected by a variational principle involving interference dynamics, informational curvature, and redundant multi-observer contraction. The parameter λ is not identified with physical time. Instead, temporal order is defined as the ordered succession of stable minima of redundant dispersion, while effective spacetime geometry arises when the underlying information geometry admits a low-dimensional metric representation. The framework derives objectivity, time, space, and gravitation from a single variational structure. Version note. This version updates and consolidates the computational materials accompanying the IFR framework. The archive includes, alongside the complete-formulation preprint, the consolidated information-geometry module ifr_core, implementing Jensen–Shannon divergence and distance, geometric and arithmetic barycenters, and the redundant-dispersion functional, together with its verification routines, the full set of analysis scripts, and self-configuring ready-to-run launcher packages for Windows, macOS, and the flat code archive. All three computational packages have been rebuilt to fully reflect the ifr_core refactor. The legacy modules utils_metrics.py and hrv_bootstrap_compare_models.py have been removed; the corresponding _v2 variants have been retained; qhct_master_pipeline.py has been updated; and jwst_photometry_jsd_partI_variant.py has been added. The consolidated ifr_core module is byte-identical across all packages, hash-verified, and reproduces all previously reported JSD/KL values with a maximum numerical discrepancy below 1e-13. The packages are strictly code-only. Data directories contain only .gitkeep or README.md placeholders, and the public re-downloadable datasets used in the analyses, including Planck, GWOSC, JWST/JADES, and PhysioNet, are intentionally excluded from the deposit. Build artifacts such as pycache, .pyc files, virtual environments, and .DS_Store files have been removed. The Concept DOI 10.5281/zenodo.20528552 remains the stable DOI to be used for citation. This deposit mints a new version DOI for archival versioning only and should not be used in manuscripts.