Results 11 to 20 of about 673,928 (292)

Corner Symmetry and Quantum Geometry

open access: yes, 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
openaire   +3 more sources

Geometries with the Second Poincaré Symmetry [PDF]

open access: yesCommunications 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
openaire   +2 more sources

Global Geometry of Bayesian Statistics

open access: yesEntropy, 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
doaj   +1 more source

Topologically protected optical signal processing using parity–time-symmetric oscillation quenching

open access: yesNanophotonics, 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
doaj   +1 more source

Metric-Affine Geometries with Spherical Symmetry [PDF]

open access: yesSymmetry, 2020
We provide a comprehensive overview of metric-affine geometries with spherical symmetry, which may be used in order to solve the field equations for generic gravity theories which employ these geometries as their field variables. We discuss the most general class of such geometries, which we display both in the metric-Palatini formulation and in the ...
openaire   +2 more sources

WKB Approximation in Noncommutative Gravity [PDF]

open access: yes, 2007
We consider the quasi-commutative approximation to a noncommutative geometry defined as a generalization of the moving frame formalism. The relation which exists between noncommutativity and geometry is used to study the properties of the high-frequency ...
Buric, Maja   +2 more
core   +4 more sources

Trineodymium(III) pentairon(III) dodecaoxide, Nd3Fe5O12

open access: yesActa 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
doaj   +1 more source

Geometry of Invariant Tori of Certain Integrable Systems with Symmetry and an Application to a Nonholonomic System [PDF]

open access: yes, 2007
Bifibrations, in symplectic geometry called also dual pairs, play a relevant role in the theory of superintegrable Hamiltonian systems. We prove the existence of an analogous bifibrated geometry in dynamical systems with a symmetry group such that the ...
Fassò, Francesco, Giacobbe, Andrea
core   +4 more sources

Symmetry breaking via internal geometry

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2005
Gauge theories commonly employ complex vector-valued fields to reduce symmetry groups through the Higgs mechanism of spontaneous symmetry breaking.
Andrew Talmadge
doaj   +1 more source

Evolution of Axially Symmetric Anisotropic Sources in $f(R,T)$ Gravity [PDF]

open access: yes, 2015
We discuss the dynamical analysis in $f(R,T)$ gravity (where $R$ is Ricci scalar and $T$ is trace of energy momentum tensor) for gravitating sources carrying axial symmetry.
Noureen, Ifra, Zubair, M.
core   +2 more sources

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