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two theories are then stated to be dual to at least one another underneath the transformation. Put in a different way, the two theories are mathematically completely different descriptions of the identical phenomena. Compactification can be used to construct models in which spacetime is successfully four-dimensional. However, not each method of compactifying the extra dimensions produces a model with the proper properties to describe nature. In a viable mannequin of particle physics, the compact additional dimensions should be formed like a Calabi–Yau manifold. A Calabi–Yau manifold is a special house which is usually taken to be six-dimensional in applications to string principle. It is known as after mathematicians Eugenio Calabi and Shing-Tung Yau. The authentic model of string principle was bosonic string theory, however this version described solely bosons, a class of particles that transmit forces between the matter particles, or fermions. Bosonic string principle was eventually outdated by theories referred to as superstring theories. These theories describe both bosons and fermions, and they incorporate a theoretical concept known as supersymmetry. In theories with supersymmetry, every boson has a counterpart which is a fermion, and vice versa. The start line for string theory is the concept the point-like particles of quantum subject principle can be modeled as one-dimensional objects called strings. The interplay of strings is most straightforwardly defined by generalizing the perturbation theory utilized in odd quantum subject concept. At the level of Feynman diagrams, this means changing the one-dimensional diagram representing the path of a point particle by a two-dimensional surface representing the motion of a string. Unlike in quantum field concept, string principle does not have a full non-perturbative definition, so lots of the theoretical questions that physicists would like to answer remain out of reach. One of the challenges of string concept is that the full concept doesn’t have a satisfactory definition in all circumstances. Another problem is that the idea is thought to explain an unlimited panorama of potential universes, which has complicated efforts to develop theories

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