Physical Medium X: A Source–Vacuum–Receiver Framework for Radiative Transfer — Mathematical Models, Cosmological Constraints, and Experimental Testability

Abstract

Physical Medium X — Research Overview This independent research article presents Physical Medium X, a proposed Source A–Physical Vacuum–Receiver B framework for investigating whether a distinct, physically measurable vacuum-associated response contributes to observed radiation timing, spectral evolution, and energy transfer. The research examines stochastic interaction models, phenomenological distance and time-stretch formulations, transfer-operator approaches, and geometrical constraints on radiative propagation. Historical numerical comparisons with Pantheon+ Type Ia supernova observations and DESI DR2 baryon acoustic oscillation measurements are presented. The tested restricted Medium X models do not outperform the flat ΛCDM benchmark in the recorded Pantheon+ comparisons. The DESI-based conclusions remain conditional on the adopted geometrical and reconstruction assumptions. The manuscript explicitly distinguishes mathematically derived relationships from phenomenological assumptions and identifies unresolved requirements, including causal vacuum-response dynamics, conservation laws, and a unique quantitative experimental prediction. Research Status: Independent theoretical and exploratory research, presented for scientific discussion, critical evaluation, and potential academic collaboration. The historical numerical results have not yet been independently reproduced from the original computational inputs. Author: ESAM SHALABYORCID: https://orcid.org/0009-0007-1171-6900 Location: Schweinfurt, Germany The deposit includes the main research article and supplementary scientific material documenting additional analyses, historical model development, and scientific limitations.