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From geometry to non-geometry via t-duality

Chinese Physics C 2018年第8期42卷 65-87页

作者： B.Sazdovi Institute of Physics University of Belgrade

Reconsideration of the t-duality of the open string allows us to introduce some geometric features in non-geometric ***,we have found what symmetry is t-dual to the local gauge *** includes transformations of background fields but does not include transformations of the *** to this we have introduced a new,up to now missing term,with additional gauge field Ai^D（D denotes components with Dirichlet boundary conditions）.It compensates non-fulfilment of the invariance under such transformations on the end-points of an open string,and the standard gauge field AaN（N denotes components with Neumann boundary conditions）compensates non-fulfilment of the gauge *** a generalized procedure we will perform t-duality of vector fields linear in *** show that gauge fields AaNand AiDare t-dual to ADaand AN^*** introduce the field strength of t-dual non-geometric theories as derivatives of t-dual gauge fields along both t-dual variable yμand its double？yμ.this definition allows us to obtain gauge transformation of non-geometric theories which leaves the t-dual field strength ***,we introduce some new features of non-geometric theories where field strength has both antisymmetric and symmetric *** allows us to define new kinds of truly non-geometric theories.

关键词： t-duality non-geometry open string neumann boundary conditions dirichlet boundary conditions

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Hubble Scale Dark Energy Meets Nano Scale Casimir Energy and the Rational of their t-duality and Mirror Symmetry Equivalence

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World Journal of Nano Science and Engineering 2015年第3期5卷 57-67页

作者： M.S.El Naschie Department of Physics University of AlexandriaAlexandriaEgypt

We establish that ordinary energy, Casimir energy and dark energy are not only interlinked but are basically the same thing separated merely by scale and topology. Casimir energy is essentially a nano scale spacetime phenomenon produced by the boundary condition of the two Casimir plates constituting the Casimir experimental set up for measuring the Casimir force. By contrast dark energy is the result of the cosmic boundary condition, i.e. the boundary of the universe. this one sided M?bius-like boundary located at vast cosmic distance and was comparable only to the Hubble radius scales of the universe. All the Casimir energy spreads out until the majority of it reaches the vicinity of the edge of the cosmos. According to a famous theorem due to the Ukrainian-Israeli scientist I. Dvoretzky, almost 96% of the total energy will be concentrated at the boundary of the universe, too far away to be measured directly. the rest of the accumulated Casimir energy density is consequently the nearly 4% to 4.5%, the existence of which is confirmed by various sophisticated cosmic measurements and observations. When all is said and done, the work is essentially yet another confirmation of Witten’s t-duality and mirror symmetry bringing nano scale and Hubble scale together in an unexpected magical yet mathematically rigorous way.

关键词： Mirror Symmetry Casimir Energy Dark Energy Zero Point Vacuum Energy t-duality Nano Scale-Hubble Scale Mobius Holographic Boundary Dvoretzky’s theorem Banach-tarski theorem

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Charged AdS black holes with finite electrodynamics in 4D Einstein-Gauss-Bonnet gravity

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Chinese Physics C 2023年第3期47卷 282-290页

作者： Kimet Jusufi Physics Department State University of TetovoIlinden Street nn120oTetovoNorth Macedonia

Using a modified expression for the electric potential in the context of t-duality [Gaete and Nicolini, Phys. Lett. B, 2022], we obtained an exact charged solution within the 4D Einstein-Gauss-Bonnet (4D EGB) theory of gravity in the presence of a cosmological constant. We show that the solution also exists in the regularized 4D EGB theory. Moreover, we point out a correspondence between the black hole solution in the 4D EGB theory and the solution in the non-relativistic Horava–Lifshitz theory. the black hole solution is regular and free from singularity. As a special case, we derive a class of well known solutions in the literature.

关键词： black holes 4D Einstein-Gauss-Bonnet gravity t-duality exact solutions

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twisted analytic torsion

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Science China Mathematics 2010年第3期53卷 555-563页

作者： MAtHAI Varghese Department of Mathematics University of Adelaide

We review the Reidemeister, Ray-Singer’s analytic torsion and the Cheeger-Mller theorem. We describe the analytic torsion of the de Rham complex twisted by a flux form introduced by the current authors and recall its properties. We define a new twisted analytic torsion for the complex of invariant differential forms on the total space of a principal circle bundle twisted by an invariant flux form. We show that when the dimension is even, such a torsion is invariant under certain deformation of the metric and the flux form. Under t-duality which exchanges the topology of the bundle and the flux form and the radius of the circular fiber with its inverse, the twisted torsion of invariant forms are inverse to each other for any dimension.

关键词： analytic torsion circle bundles t-duality

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Quantum Fractals and the Casimir-Dark Energy duality—the Road to a Clean Quantum Energy Nano Reactor

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Journal of Modern Physics 2015年第9期6卷 1321-1333页

作者： M. S. El Naschie Department of Physics University of Alexandria Alexandria Egypt

Based on Witten’s t-duality and mirror symmetry we show, following earlier work, the fundamental complimentarity of the Casimir energy and dark energy. Such a conclusion opens new vistas in cold fusion technology in the wider sense of the word which we tackle via fractal nano technologies leading to some design proposals for a nano Casimir-dark energy reactor.

关键词： Casimir Energy Zero Point Energy Dark Energy E-Infinity theory Quantum Set theory Algebraic Quantum Field Cantorian Spacetime Fractal Quantum Phase Space Mirror Symmetry Witten’s t-duality

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towards 6D Little String theory of Particles

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Journal of High Energy Physics, Gravitation and Cosmology 2024年第2期10卷 546-561页

作者： Risto Raitio Helsinki Institute of Physics University of Helsinki Helsinki Finland

A model for particles based on preons in chiral, vector and tensor/graviton supermultiplets of unbroken global supersymmetry is engineered. the framework of the model is little string theory. Phenomenological predicti... 详细信息

关键词： Standard Model Composite Models Supersymmetry Little String theory t-duality Holography

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