Twisted geometries are discrete geometries that play a role in loop quantum gravity and spin foam models, where they appear in the semiclassical limit...

quantum gravity Robinson congruences Spin network Twisted geometries Penrose, R. (1967). "Twistor Algebra". Journal of Mathematical Physics. 8 (2): 345–366...

in three different configurations known as the twist, bend, and splay geometries. The phase transition was first observed by Fréedericksz and Repiewa in...

non-Euclidean geometry consists of two geometries based on axioms closely related to those that specify Euclidean geometry. As Euclidean geometry lies at the...

one (see twisted dodecagonal prism). A twisted prism cannot be dissected into tetrahedra without adding new vertices. The simplest twisted prism has...

classified the 8 model geometries satisfying these conditions; they are listed below and are sometimes called Thurston geometries. (There are also uncountably...

|journal= (help) Freidel, Laurent; Speziale, Simone (2010). "Twistors to twisted geometries". Physical Review D. 82 (8): 084041. arXiv:1006.0199. Bibcode:2010PhRvD...

general relativity Causal dynamical triangulation Ricci calculus Twisted geometries Tullio E. Regge (1961). "General relativity without coordinates"....

aeronautics Twisted (disambiguation) Twister (disambiguation) Torque This disambiguation page lists articles associated with the title Twist. If an internal...

In differential geometry, the twist of a ribbon is its rate of axial rotation. Let a ribbon ( X , U ) {\displaystyle (X,U)} be composed of a space curve...

unique, up to projective transformation (the twisted cubic, therefore). In algebraic geometry, the twisted cubic is a simple example of a projective variety...

hyperbolic geometry and thus demonstrated the existence of consistent geometries outside Euclid's paradigm. Concrete models of hyperbolic geometry were produced...

is the algebraic closure of K {\displaystyle K} . Twisted Hessian curves Twisted Edwards curve Twisted tripling-oriented Doche–Icart–Kohel curve Bos, Joppe...

In algebraic geometry, the twisted Edwards curves are plane models of elliptic curves, a generalisation of Edwards curves introduced by Bernstein, Birkner...

(1991). Twistor Geometry and Field Theory. Cambridge University Press. ISBN 0-521-42268-X. Huggett, S.A.; Tod, K.P. (1994). An introduction to twistor theory...

equivalent to a cylinder. Cutting this double-twisted strip again along its centerline produces two linked double-twisted strips. If, instead, a Möbius strip is...

Ward's twistor transform of SDYM, applied to string theory, is leading to striking progress in quantum Yang-Mills theory. Twistor geometry and field...

A photoswitch is a type of molecule that can change its structural geometry and chemical properties upon irradiation with electromagnetic radiation. Although...

In mathematics, contact geometry is the study of a geometric structure on smooth manifolds given by a hyperplane distribution in the tangent bundle satisfying...

light afforded each unit as well as views of the Hudson River. The twisting geometry at the corners of the towers also reduces the overall bulk of the...

Chemists. Zimmerman, H., Academic Press, New York, 1975. Due to the twisted geometry required for a molecule to take on Möbius aromaticity, the idealized...

is twisted 79° out of the plane (C2 symmetry). The third singlet state, 21A1/1A1′ (3.88 eV), is also a D3h-symmetric equilibrium of three geometries; each...

Erlangen program is a method of characterizing geometries based on group theory and projective geometry. It was published by Felix Klein in 1872 as Vergleichende...

not twin tubes twisted around one another, as they may appear to be, but rather a single strand with an "S"-shaped cross-section twisted into a spiral...

linear approximation of a spherical or other curved or twisted line of a function. In geometry, the tangent line (or simply tangent) to a plane curve...

foundational role in understanding twisted multiplets and their implications for nonlinear sigma models, generalized complex geometry, and duality in supersymmetric...

of X. The cohomology class measures the extent to which the bundle is "twisted" and whether it possesses sections. Characteristic classes are global invariants...

considered relative to its predecessor, there are the following base pair geometries to consider: Shear Stretch Stagger Buckle Propeller: rotation of one base...

plays a central role in algebraic geometry. This article aims to define the notion in terms of abstract algebraic geometry and to describe some basic uses...

differentiable stacks have applications in foliation theory, Poisson geometry and twisted K-theory. Recall that a category fibred in groupoids (also called a groupoid...