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 adds the consolidated computational materials accompanying the IFR framework. The archive now includes, alongside the complete-formulation preprint: the consolidated information-geometry module ifr_core (Jensen–Shannon divergence and distance, geometric and arithmetic barycenters, redundant-dispersion functional) with its verification routines, the full set of analysis scripts, and self-configuring ready-to-run launcher packages for macOS (IFR_mac) and Windows (IFR_windows). Property-based and on-data equivalence tests confirm that the consolidated module leaves all previously reported numerical results unchanged (maximum discrepancy below 1e-13).