TITLE:
Interference-First Reality: Multi-Observer Emergence of Objectivity and Time from Information Geometry
AUTHORS:
Michele Bianchi
KEYWORDS:
Interference-First Reality, Information Geometry, Jensen-Shannon Distance, Fréchet Barycenter, Multi-Observer Stabilization, Emergent Objectivity, Probability Simplex, Cross-Domain Inference, CMB, HRV, JWST, LSS, GWOSC
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.14 No.4,
April
23,
2026
ABSTRACT: We present the Interference-First Reality (IFR) framework, in which physical objectivity is not assumed as primitive but is operationally characterized through the stabilization of observer-induced probability distributions under redundant observation. Within this framework, emergent shared reality is identified with the Fréchet barycenter of an ensemble of observer-induced probability distributions in Jensen-Shannon geometry. A consistency theorem shows that empirical barycenters converge almost surely to their population counterpart as the number of independent observers grows, grounding objectivity in standard metric barycenter theory rather than in additional physical postulates. Alongside this variational construction, we introduce a complementary weighted geometric-overlap estimator and analyze its relation to the barycentric formulation. We instantiate the framework across five physical domains: cosmic microwave background (CMB), heart-rate variability (HRV), JWST spectroscopy, large-scale structure (LSS), and gravitational-wave open data (GWOSC). Across all domains, we find reproducible multi-observer collective summaries, bounded Jensen-Shannon distances consistent with stabilization, and a cross-domain distinguishability hierarchy stable under bootstrap resampling and insensitive to the choice between arithmetic and geometric aggregation. Permutation-based null tests further show that the observed clustering structure exceeds domain-specific random baselines. The empirical scope is nevertheless domain-specific: the GW cross-event comparison mainly reflects observational context and noise geometry, while the JWST case probes structured instrumental heterogeneity within a common observing program rather than independent platforms. Finally, we outline an extension in which time is defined as cumulative informational arc-length between successive stabilized collective states, leaving its full development to a companion study.