Absolute Relativity Conjecture (ARC): The Unified Universe as the Fundamental Inverse Problem of Observation

Current cosmological models are trapped in a state of ”epicyclic” refinement, relying ona forward-problem approach that treats the observer as a neutral witness and necessitatesthe proliferation of non-geometric auxiliary parameters. This paper establishes that theexistence of Science is strictly contingent upon an Extrinsic Source (S) and a ProjectionOperator (Ψ) of absolute integrity. We propose the Absolute Relativity Conjecture(ARC), defining the Unified Universe (U) as the Fundamental Inverse Problem ofObservation. By replacing the descriptive adjustment of perceived effects with the StructuralSynthesis of Ψ, we identify persistent anomalies—such as dark energy, gravity, andthe dimensional surplus of mass (kg) and temperature (K)—not as independent physicalentities, but as perspective residues of a differential scaling gradient between theUnified Universe (U) and the observer (O). The resolution of this synthesis reveals reality asa single, continuous Morphology of Deformation, providing a rigorous path to decouplephysical laws from the intrinsic bias of the observational scale. Version 4.0 (Current Revision — September 16th, 2026)This version preserves the core text of the original preprint and Appendices A–B remain unchangedwhile incorporating a new Appendix C: methodological and epistemic demarcation. Appendix C.6 supersedesthe original interpretive description of Ref. [4], delimiting G¨odel’s role to that of a conceptualprecedent. The stronger ontological, deterministic, and operational formulations retained in the originalcore text and Appendices A–B are preserved as part of the conceptual and structural development of theframework. Appendix C specifies their present epistemic status by distinguishing conceptual necessityand structural determinacy from subsequent explicit algebraic realization.