Representation-Theoretic Symmetry Reduction and Fuzzy-Grey Optimization of Modular Vibration Systems
This paper presents a representation-theoretic framework for symmetry-aware vibration control in modular structural systems.
Emerging Trends in Symmetry Emerging Trends in Symmetry (ETSY) is a peer-reviewed open-access journal launched in 2025, dedicated to advancing research on symmetry and its practical applications, with a special focus on architecture, engineering, and applied physical sciences. …
etsy maintains an Editorial Board of practicing researchers from around the world, to ensure manuscripts are handled by editors who are experts in the field of study.

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Journal: Emerging Trends in Symmetry
This paper presents a representation-theoretic framework for symmetry-aware vibration control in modular structural systems.
The integration of fuzzy logic and quantum information theory raises a fundamental mathematical question: how can degrees of truth be encoded in multi-qubit amplitudes while preserving the unitary dynamics and symmetry structure of quantum state spaces? This paper develops a tensor-operator framework for implementing quantum-fuzzy logical operations on finite qubit registers.
A tensor-operator framework is developed for fuzzy conjunction, fuzzy disjunction, and symmetry-preserving state discrimination in multi-qubit quantum systems.
Symmetry in modular buildings operates simultaneously as an architectural language, a structural regularizer, and a computational design variable.
Symmetry, long recognized as a cornerstone of the natural sciences, has increasingly found relevance across a variety of disciplines, from physics and mathematics to economics, architecture, and systems theory. This interdisciplinary review explores the expanding role of symmetry as a conceptual and analytical tool, highlighting its applications in diverse fields. In classical and quantum physics, symmetry principles form the foundation for conservation laws, particle interactions, and field equations. In economics and decision sciences, symmetry underlies equilibrium models and optimization techniques. In design and architecture, symmetry informs aesthetics and structural integrity.
Topological insulators and superconductors constitute a class of quantum materials characterized by insulating bulks and symmetry-protected conducting boundaries. Symmetry principles, notably time-reversal (TRS), particle-hole (PHS), and chiral symmetry, play a fundamental role in determining the topological phases and their classification within the Altland-Zirnbauer scheme.