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Unified Invariant Structural Theory

Year: 2026
Type: article
Abstract: This paper introduces Unified Invariant Structural Theory, in which an invariantidentity is treated as a primitive structural object. An invariant identity is a quantitypreserved under admissible structural transformations:I(T (x)) = I(x).This invariance forms a single structural framework from which optimization, equilib-rium, energy, force, geometry, and curvature arise as invariant structural realizations.In particular, optimization appears as a special case in which invariant identity isexpressed through equilibrium-type conditions and admissibility preservation
Language: English
Open Access status: green
OpenAlex ID: W7204120672
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