Absolute Cosmology 04:The Observational–Ontological Mapping Principle and the Theoretical Foundation of the Absolute Cosmic Transformation

This paper is the fourth installment of the Absolute Cosmology series. Building upon the establishment of absolute spacetime, absolute causality, and the photon reference frame in the first three papers, this work systematically derives the Absolute Cosmic Transformation Equations, establishing a rigorous mapping between observed physical quantities and ontological physical quantities. By introducing the observer's motion vector relative to absolute space and the light-travel-time correction term, this paper demonstrates that the measured speed of light follows Galilean superposition, time delays originate from light-travel-time differences, and scale deviations arise from geometric projection—none of which constitute deformations of spacetime ontology. Unlike the traditional Lorentz transformation, this system remains mathematically convergent and causally consistent across the full velocity range (including superluminal speeds), and naturally reproduces the null result of the Michelson–Morley experiment as well as quantitative predictions for its modified version. This paper provides a unified kinematic foundation for subsequent decisive experiments and astronomical observational inversion.Keywords: Absolute Cosmology; Observational Distortion; Light Travel Time; Absolute Transformation; Michelson–Morley Experiment; Galilean Superposition; Superluminal Motion