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Why Reality Cannot Differentiate Infinitely and Why Resolution Collapses
This paper investigates one central question: Why does reality not undergo infinite differentiation, but instead continuously oscillate among differentiation, convergence, compression, and reconstruction? The paper argues that whether differences can stably persist depends not merely on whether incoming impacts differ, but on whether the field still possesses the capacity to sustain differentiation itself. As boundary density, tuning load, noise interference, and deep-core flow occupation continuously increase, the differentiability threshold of the field gradually drifts upward, causing previously sustainable fine boundaries and fine categories to collapse back into shared cores. Thus: reality does not infinitely refine itself, but continuously oscillates among: * differentiation, * compression, * convergence, * and reconstruction. The paper further establishes field-dynamical relations among: * differentiability thresholds, * boundary interference, * deep-core flow occupation, * commonality expansion, * and resolution collapse, while proposing a structural account of why stable categories within reality continuously form, expand, collapse, and reorganize.
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