ONTOΣ IX established that navigation in bounded adaptive systems is not teleological but anti-collapse: the system orients itself away from the direction of fastest interior contraction, preserving future possibility rather than pursuing a destination. This required a fundamental assumption - that the admissible interior contracts. The present work identifies the limit of that assumption. The admissible interior does not contract monotonically. It pulsates. Under variable environmental coupling, the set of structurally available continuations expands and contracts in alternating phases, even as the irreversible viability budget continues to decrease. This pulsation is not noise. It is a structural rhythm arising from the two-variable dependence of the interior on both budget and position. ONTOΣ X argues that pulsation changes the ontology of possibility itself. It introduces a distinction between reduced depletion and genuine reconstitution, identifies phase-blindness as a distinct ontological defect, and reinterprets will under pulsation as phase-aware orientation rather than uniform anti-collapse. Part of the Navigational Cybernetics 2.5 (NC2.5) corpus. Extends ONTOΣ IX - Navigation as Anti-Collapse Geometry - from a monotone to a non-monotone ontology of the admissible interior.
Maksim Barziankou (Thu,) studied this question.