This work presents a structural critique of the CERN AD/ELENA Antimatter Program by R. Caravita, A. Cridland Mathad, J. S. Hangst, M. Hori, B. M. Latacz, A. Obertelli, P. Perez, S. Ulmer, and E. Widmann, on behalf of the Antiproton Decelerator User Community (ADUC) (arXiv:2503.22471). The program produces and studies antiprotons, antihydrogen, and related systems through controlled experimental procedures including deceleration, trapping, cooling, transport, and manipulation. These configurations are interpreted as physically existing entities and used to perform tests of CPT invariance, gravitational behavior, and fundamental symmetries. We show that all experimentally realized configurations are externally sustained, time-dependent, and dependent on continuous interaction with the experimental apparatus. As such, they do not satisfy the structural conditions required for physical existence, which require stationarity and independence from external forcing. All observables arise from these laboratory configurations and therefore correspond to event-dependent outputs rather than autonomous physical states. The mapping from measurement to physical ontology is non-invertible, implying that observed signals cannot establish the existence of underlying physical entities. Furthermore, the assumption of a distinct antimatter sector is not derived from any structural condition and is introduced without a generating mechanism. The analysis demonstrates a systematic misclassification of externally generated configurations as physical objects. In particular, antiprotons and antihydrogen correspond to non-stationary, apparatus-dependent configurations rather than physically realized entities. All conclusions follow from structural analysis alone and do not rely on fitting procedures or external theoretical assumptions.
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