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2 articles for “Point group symmetry”
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The Principles and Applications of Structural Symmetry in Natural and Engineered Systems: A Comprehensive Review
Abstract: Structural symmetry is a fundamental constraint across scientific domains, dictating the stability, functionality, and efficiency of systems from the subatomic to the macroscopic. In physics and chemistry, symmetry is mathematically defined through Group Theory, specifically point groups (e.g., Cnv, Oh). These groups govern molecular orbital interactions; high-symmetry configurations, such as the icosahedral C60 fullerene, achieve optimal energy distribution and structural resilience. In Structural Biology, symmetry is an evolutionary strategy for …
Published in Emerging Trends in Symmetry · Vol. 2, Issue 1, 2026 · pp. 30–34 Read article
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Quantum-Fuzzy Tensor Operators and Uncertainty-Band Bifurcation for Symmetry-Preserving State Discrimination
Abstract: A tensor-operator framework is developed for fuzzy conjunction, fuzzy disjunction, and symmetry-preserving state discrimination in multi-qubit quantum systems. In this formulation, fuzzy membership and non-membership degrees are represented through expectations of effect operators acting on density matrices, providing a natural bridge between fuzzy logic and quantum measurement theory. Conjunction and disjunction operations are extended to the quantum domain via tensorised channels, constructed using projective measurements and unitary transformations, enabling logical …
Published in Emerging Trends in Symmetry · Vol. 2, Issue 1, 2026 · pp. 08–15 Read article