Negentropy and Entropy Topologies Ontological Correlation Capacity and the Epistemic Origin of Measured  Entropy

Part I of the Negentropy, Closure Degeneracy, and Entropy Topologies SeriesEntropy is usually treated as a thermodynamic, statistical, or informational quantity: a measure of disorder, uncertainty, inaccessible information, or the multiplicity of possible states. These formulations are operationally successful, but they often begin after a deeper ontological passage has already occurred. They assume distinguishable states, probability spaces, microstate counts, measurement partitions, or coarse-grained observables. This paper asks what must exist before entropy can be measured at all. The central proposal is an ontological-epistemic stratification of entropy. Negentropy is not interpreted as the mere negative of entropy, nor as simple local order. Instead, negentropy is defined as ontological correlation capacity: the pre-statistical capacity of a continuum coherence field to sustain relation, organization, and coherent possibility prior to discretization or measurement. Entropy, by contrast, is epistemic in form: it appears through projection, coarse-graining, distinguishability, and access. Yet entropy is not merely subjective, because what it measures is grounded in real relational structure. Between ontological negentropy and epistemic entropy lies the key mediating concept of this paper: entropy topology. Entropy topology names the closure-structured field of accessible relational configurations from which entropy measures are derived. Before probabilities can be assigned, before disorder can be observed, and before microstates can be counted, there must already be a topology of accessible possibility. Thus, entropy does not generate topology; topology generates entropy. Negentropy - ontological correlation capacityEntropy topology - relational closure accessibilityEntropy - epistemic measurement of accessible degeneracy This framework preserves the validity of thermodynamic, statistical, informational, quantum, and dynamical entropy measures while relocating their foundation. Entropy is not fundamental disorder. It is the epistemic shadow of ontological negentropy passing through relational closure topology. KeywordsNegentropy; entropy topology; ontological entropy; epistemic entropy; closure topology; relational closure; thermodynamic information; coherence capacity; closure degeneracy; information ontology; probability space; coarse-graining; measured entropy; entropy stratification.