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Moving electrons around loops with light:A quantum device based on geometry
Moving electrons loops with light quantum device geometry
2016/3/2
While a classical bit found in conventional electronics exists only in binary one or zero states, the more resourceful quantum bit, or ‘qubit,’ is represented by a vector, pointing to a simultaneous c...
Oregon physicists use geometry to understand 'jamming' process
Oregon physicists geometry jamming process
2014/3/28
EUGENE, Ore. — (March 20, 2014) — University of Oregon physicists using a supercomputer and mathematically rich formulas have captured fundamental insights about what happens when objects moving freel...
Fractals, coherent states and self-similarity induced noncommutative geometry
self-similarity fractals squeezed coherent states noncommutative geometry dissipation
2012/6/30
The self-similarity properties of fractals are studied in the framework of the theory of entire analytical functions and the $q$-deformed algebra of coherent states. Self-similar structures are relate...
Spinor formalism and the geometry of six-dimensional Riemannian spaces
Spinor formalism geometry six-dimensional Riemannian spaces Mathematical Physics
2012/4/17
The article consists of the Russian and English variants of Ph.D. Thesis in which the answers is given on the following questions.
Geometry and field theory in multi-fractional spacetime
Models of Quantum Gravity Field Theories in Lower Dimensions Fractal Geometry
2011/10/9
Abstract: We construct a theory of fields living on continuous geometries with fractional Hausdorff and spectral dimensions, focussing on a flat background analogous to Minkowski spacetime. After revi...
On the Quasi-Linear Elliptic PDE $-\nabla\cdot(\nabla{u}/\sqrt{1-|\nabla{u}|^2}) = 4π\sum_k a_k δ_{s_k}$ in Physics and Geometry
Lorentz manifolds maximal foliations lightcone singularities
2011/9/15
Abstract: It is shown that for each finite number of Dirac measures supported at points $s_n$ in three-dimensional Euclidean space, with given amplitudes $a_n$, there exists a unique real-valued Lipsc...
Geometry and Shape of Minkowski's Space Conformal Infinity
Minkowski space space-time conformal group twistors infinity Cli ord algebra cyclide
2011/8/25
Abstract: We review and further analyze Penrose's 'light cone at infinity' - the conformal closure of Minkowski space. Examples of a potential confusion in the existing literature about it's geometry ...
Geometry of fractional spaces
Models of Quantum Gravity Field Theories in Lower Dimensions Fractal Geometry
2011/7/28
Abstract: We introduce fractional flat space, described by a continuous geometry with constant non-integer Hausdorff and spectral dimensions. This is the analogue of Euclidean space, but with anomalou...
The Wave Equation in a General Spherically Symmetric Particlelike Geometry
The Wave Equation Spherically Symmetric Particlelike Geometry Analysis of PDEs
2011/7/28
The Wave Equation in a General Spherically Symmetric Particlelike Geometry.
Abstract: We consider generalizations of symplectic manifolds called n-plectic manifolds. A manifold is n-plectic if it is equipped with a closed, nondegenerate form of degree n+1. We show that higher...
Noncommutative spectral geometry, algebra doubling and the seeds of quantization
Noncommutative spectral geometry algebra doubling the seeds of quantization
2011/7/26
Abstract: A physical interpretation of the two-sheeted space, the most fundamental ingredient of noncommutative spectral geometry proposed by Connes as an approach to unification, is presented. It is ...
The Wave Equation in a General Spherically Symmetric Black Hole Geometry
The Wave Equation Spherically Symmetric Black Hole Geometry General Relativity and Quantum Cosmology
2011/7/28
The Wave Equation in a General Spherically Symmetric Black Hole Geometry.
The Dirac Theory of Constraints, the Gotay-Nester Theory and Poisson Geometry
The Dirac Theory of Constraints the Gotay-Nester Theory Poisson Geometry
2011/7/26
Abstract: We present a study of the Dirac theory of constraints emphasizing the duality between the Poisson-algebraic and the geometric points of view, related respectively to the work of Dirac and of...
Investigating the Spectral Geometry of a Soft Wall
Spectral Geometry Quantum Physics High Energy Physics - Theory
2011/7/27
Investigating the Spectral Geometry of a Soft Wall.
Quantum Dirac Field on Moyal-Minkowski Spacetime - Illustrating Quantum Field Theory over Lorentzian Spectral Geometry
Quantum Dirac Field Illustrating Quantum Field Theory Lorentzian Spectral Geometry
2011/7/25
Abstract: A sketch of an approach towards Lorentzian spectral geometry (based on joint work with Mario Paschke) is described, together with a general way to define abstractly the quantized Dirac field...