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This has a natural formulation in twistor space [26] [27] that in turn led to remarkable formulations of scattering amplitudes in terms of Grassmann integral formulae [28] [29] and polytopes. [30] These ideas have evolved more recently into the positive Grassmannian [31] and amplituhedron.
In mathematics and theoretical physics (especially twistor theory), twistor space is the complex vector space of solutions of the twistor equation ′ =. It was described in the 1960s by Roger Penrose and Malcolm MacCallum. [ 1 ]
On an eigenspace of the 4-momentum operator with 4-momentum eigenvalue of the Hilbert space of a quantum system (or for that matter the standard representation with ℝ 4 interpreted as momentum space acted on by 5×5 matrices with the upper left 4×4 block an ordinary Lorentz transformation, the last column reserved for translations and the ...
A science fair or engineering fair is an event hosted by a school that offers students the opportunity to experience the practices of science and engineering for themselves. In the United States, the Next Generation Science Standards makes experiencing the practices of science and engineering one of the three pillars of science education.
Science Buddies also provides resources to support parents and teachers as they guide students seeking out and performing science projects. They attempt to provide a bridge between scientists, engineers, educators, and students, giving students access to current scientific research and simultaneously giving scientists a way to reach out to ...
Twistor string theory is an equivalence between N = 4 supersymmetric Yang–Mills theory and the perturbative topological B model string theory in twistor space. [1] It was initially proposed by Edward Witten in 2003. Twistor theory was introduced by Roger Penrose from the 1960s as a new approach to the unification of quantum theory with gravity.
In differential geometry, the local twistor bundle is a specific vector bundle with connection that can be associated to any conformal manifold, at least locally.Intuitively, a local twistor is an association of a twistor space to each point of space-time, together with a conformally invariant connection that relates the twistor spaces at different points.
In mathematical physics, the twistor correspondence (also known as Penrose–Ward correspondence) is a bijection between instantons on complexified Minkowski space and holomorphic vector bundles on twistor space, which as a complex manifold is , or complex projective 3-space.