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Weyl conformal geometry vs Weyl anomaly
Journal of High Energy Physics, 2023 Weyl conformal geometry is a gauge theory of scale invariance that naturally brings together the Standard Model (SM) and Einstein gravity. The SM embedding in this geometry is possible without new degrees of freedom beyond SM and Weyl geometry, while ...
D. M. Ghilencea
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Geometries with the Second Poincaré Symmetry [PDF]
Communications in Theoretical Physics, 2012 The second Poincar kinematical group serves as one of new ones in addition to the known possible kinematics. The geometries with the second Poincar symmetry is presented and their properties are analyzed. On the geometries, the new mechanics based on the principle of relativity with two universal constants $(c,l)$ can be established.
Huang, Chao-Guang +4 more
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Comparing crystal structures with symmetry and geometry
npj Computational Materials, 2021 Measuring the similarity between two arbitrary crystal structures is a common challenge in crystallography and materials science. Although there are an infinite number of ways to mathematically relate two crystal structures, only a few are physically ...
John C. Thomas +2 more
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Non-metric geometry as the origin of mass in gauge theories of scale invariance
European Physical Journal C: Particles and Fields, 2023 We discuss gauge theories of scale invariance beyond the Standard Model (SM) and Einstein gravity. A consequence of gauging this symmetry is that their underlying 4D geometry is non-metric ( $$\nabla _\mu g_{\alpha \beta }\!\not =\!0$$ ∇ μ g α β ≠ 0 ...
D. M. Ghilencea
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Global Geometry of Bayesian Statistics
Entropy, 2020 In the previous work of the author, a non-trivial symmetry of the relative entropy in the information geometry of normal distributions was discovered. The same symmetry also appears in the symplectic/contact geometry of Hilbert modular cusps. Further, it
Atsuhide Mori
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Topologically protected optical signal processing using parity–time-symmetric oscillation quenching
Nanophotonics, 2021 The concept of topology is universally observed in various physical objects when the objects can be described by geometric structures. Although a representative example is the knotted geometry of wavefunctions in reciprocal space for quantum Hall family ...
Yu Sunkyu, Piao Xianji, Park Namkyoo
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Symmetry as a Representation of Intuitive Geometry?
, 2022 Recognition of geometrical patterns seems to be an important aspect of human intelligence. Geometric pattern recognition is used in many intelligence tests, including Dehaene's odd-one-out test of Core Geometry (CG)) based on intuitive geometrical concepts (Dehaene et al., 2006).
Xu, Wangcheng +2 more
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Trineodymium(III) pentairon(III) dodecaoxide, Nd3Fe5O12
Acta Crystallographica Section E, 2009 The title compound, Nd3Fe5O12 (NdIG), has an iron garnet structure. One of the Fe atoms is coordinated by six O atoms in a slightly distorted octahedral geometry and has overline{3} site symmetry.
Takashi Komori +4 more
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Corner Symmetry and Quantum Geometry
, 2023 By virtue of the Noether theorems, the vast gauge redundancy of general relativity provides us with a rich algebra of boundary charges that generate physical symmetries. These charges are located at codimension-2 entangling surfaces called corners.
Freidel, Laurent +2 more
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Symmetry in Complex Contact Manifolds
Hittite Journal of Science and Engineering, 2017 W ,κ µ-spaces with κ< are locally -symmetric.e define complex locally -symmetric spaces.
Belgin Korkmaz
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