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This work demonstrates that structural distinction is essential for defining structure and prevents complete reducibility.
This work presents a proof that structural distinction is a necessary condition for every definable structure. It is shown that distinction cannot be eliminated without simultaneously eliminating the possibility of structure itself. From this it follows that complete structural reducibility is impossible and that every structural transition necessarily contains an irreducible event component, denoted by Eₜ. Supporting mathematical framework: https://doi.org/10.5281/zenodo.21262476
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