<p>Meaning-making frequently encounters interpretive limits in situations of aesthetic intensity, silence, and semantic excess. While phenomenological and hermeneutic traditions have shown that aesthetic experience often resists full conceptual closure, fewer accounts have clarified the structural conditions under which responsiveness may persist precisely where interpretation cannot be completed.</p><p>This paper proposes a conceptual-structural framework for analyzing beauty under such conditions of interpretive incompletion. Rather than treating beauty as an object-property, a subjective judgment, or a fully representable form, the paper understands beauty as a condition in which responsiveness remains viable under excess, compression, and remainder. To articulate this claim, it introduces Translator–∞, Untranslatable Threshold of Cognitive Engagement (UTCE), the Compressed Deviation Hypothesis (CDH), and the Structural Vibration Ratio (SVR) as heuristic tools for clarifying the thresholds at which interpretive endurance, rigid closure, or reorganization may occur.</p><p>The framework does not claim to measure beauty directly or to formalize aesthetic experience in exhaustive terms. Instead, it seeks to render partially visible the structural conditions under which beauty may persist where translation fails productively. In this sense, SVR functions not as an empirical metric but as a heuristic index for distinguishing regimes of responsiveness under strain.</p><p>Discussions of artificial intelligence and clinical implication are included as secondary extensions of this primary aesthetic argument. Their role is to clarify, by contrast, how formal indeterminacy differs from responsive openness under irreducible interpretive limit. The paper’s central contribution is therefore limited but consequential: it offers a structural account of how beauty may endure not by ending interpretation, but by sustaining responsiveness where interpretation cannot be finished.</p>