Topology of the ambient boundary and the convergence of causal curves [PDF]
, 2015 We discuss the topological nature of the boundary spacetime, the conformal infinity of the ambient cosmological metric. Due to the existence of a homothetic group, the bounding spacetime must be equipped not with the usual Euclidean metric topology but ...
Ignatios Antoniadis, Spiros Cotsakis
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Boundary edge networks induced by bulk topology [PDF]
Physical review B, 2019 We introduce an effective edge network theory to characterize the boundary topology of coupled edge states generated from various types of topological insulators.
Yanqi Wang, Joel E. Moore
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Topology and dynamics of the contracting boundary of cocompact CAT(0) spaces [PDF]
Pacific Journal of Mathematics, 2019 Let $X$ be a proper CAT(0) space and let $G$ be a cocompact group of isometries of $X$ which acts properly discontinuously. Charney and Sultan constructed a quasi-isometry invariant boundary for proper CAT(0) spaces which they called the contracting ...
Devin Murray
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Boundary dynamics and topology change in quantum mechanics [PDF]
, 2015 We show how to use boundary conditions to drive the evolution on a Quantum Mechanical system. We will see how this problem can be expressed in terms of a time-dependent Schr\"{o}dinger equation.
Juan Manuel Pérez-Pardo +2 more
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Observation of momentum-gap topology of light at temporal interfaces in a time-synthetic lattice [PDF]
Nature CommunicationsTopological phases have prevailed across diverse disciplines, spanning electronics, photonics, and acoustics. Hitherto, the understanding of these phases has centred on energy (frequency) bandstructures, showcasing topological boundary states at spatial ...
Yudong Ren +10 more
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Design of multiple materials structure based on an explicit and implicit hybrid topology optimization method [PDF]
Scientific ReportsIn this paper, an explicit and implicit hybrid topology optimization method is proposed for the design of multiple materials structure. The explicit topology optimization employs the moving morphable component (MMC) method to determine where the solid ...
Zhao Li +4 more
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Boundary topological superconductors [PDF]
Physical Review B, 2021 For strongly anisotropic time-reversal invariant (TRI) insulators in two and three dimensions, the band inversion can occur respectively at all TRI momenta of a high symmetry axis and plane. Although these classes of materials are topologically trivial as the strong and weak $Z_{2}$ indices are all trivial, they can host an even number of unprotected ...
Bo-Xuan Li, Zhongbo Yan
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Some Weaker Forms of Bipolar Neutrosophic Nano * Open Sets [PDF]
Neutrosophic Sets and Systems, 2023 In this paper, the weaker forms of open sets in Bipolar Neutrosophic Nano* (BNN*) topology are studied. This topology is defined on a space of bipolar neutrosophic sets with respect to the lower, upper, boundary approximations and the union and ...
G. Gincy +2 more
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Bulk-boundary and RPS thermodynamics from topology perspective [PDF]
Chinese Physics C, High Energy Physics & Nuclear Physics, 2023 In this study, we investigate the bulk-boundary and restricted phase space (RPS) thermodynamics of Rissner-Nordström (R-N) AdS and 6-dimensional charged Gauss-Bonnet AdS black holes.
J. Sadeghi +3 more
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Smooth boundary topology optimization applied to an electrostatic actuator [PDF]
, 2008 D.-H. Kim +2 more
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