Curved Space
Curved Space-Time for Light by an Anisotropic Medium: Media with the Variable Optical Axes
... Abstract—An optical impedance-matched medium with a gradient refractive index can resemble a geometrical analogy with an arbitrary curved space-time. In this paper, we show that a non-impedance- matched ...
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Vacuum Effective Actions and Mass-Dependent Renormalization in Curved Space
... As anticipated, in this contribution we generalize similar results to several types of massive fields in two and four dimensional curved spacetimes. In dealing with curved space it is convenient to ...
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Cylindrical symmetry: II. The Green's function in 3+ 1 dimensional curved space
... role. To elaborate, the spherically symmetric Schwarzschild solution is a staple of textbooks on general relativity; not so perhaps, the static but cylindrically symmetric ones, though they were obtained almost ...
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Precanonical Structure of the Schrödinger Wave Functional of a Quantum Scalar Field in Curved Space-Time
... Abstract: A relationship between the functional Schrödinger representation and the precanonical quantization of a nonlinear scalar field theory is extended to arbitrary curved space-times. The canonical ...
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A New Perspective on Path Integral Quantum Mechanics in Curved Space-Time
... incorporate space-time curvature within this framework, compared to other treatments found within the ...in curved space-time, while revealing what seem like significant physical predictions with ...
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Representation of 3D and 4D Objects Based on an Associated Curved Space and a General Coordinate Transformation Invariant Description
... Riemannian space or curved space (as opposed to standard flat Euclidian space) is associated to an ...This space is described by tensorial equations which are form invariant under ...
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Theory of Spinors in Curved Space-Time
... in curved space-time, such as the decomposition of the spinor connection, the classical approxi- mation of Dirac equation, the energy momentum tensor of spinors and so ...
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General Relativity without Curved Space Time (₲ R)
... of space- time induced by the presence of the massive ...the space-time and the big bang theory, which prove the existence of space-time before that, which leads to the existence of the creator of ...
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Micro black holes in the laboratory
... in curved space-time, the simplest theoretical arena for studying particle physics in the presence of gravitational ...in curved space, which is often regarded as the semi-classical limit of ...
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Spin, the Classical Theory
... Now we may focus on “the intriguing aspect of curved space” I mentioned above, something not known when Einstein published his theory. Suppose we have two vectors A and B. They are in a plane (of course), ...
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Modification of Einstein's E= mc2 to E =1/22 mc2
... 4D space-time was transferred by El Naschie to a rugged Calabi-Yau and K3 fuzzy Kähler ...in curved space-time, Veneziano’s dual resonance model and Nash’s Euclidean embedding all reinforce, without ...
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Dirac Fermions on an Anti-de Sitter Background
... on curved space-time is considerably more complicated than quantum field theory on Minkowski ...Minkowski space-time, there is a natural definition of a global vacuum state as seen by an inertial ...
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A Unified Newtonian Relativistic Quantum Resolution of the Supposedly Missing Dark Energy of the Cosmos and the Constancy of the Speed of Light
... in curved space time, Veneziano’s dual resonance model, Nash Euclidean embedding and super gravity all reinforce, without any reservation, the above mentioned theoretical result which in turn is in total ...
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Calculation of the Riemann Zeta-function on a Relativistic Computer
... As was said above, the study of the behavior of the sum (1) can be regarded as a problem of the motion of a material particle along the trajectory of a vortex. In this case, as shown below, the analysis should be carried ...
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On Characterization of Non-Commutative Minkowski Space Time
... non-commutative curved space time and analyze the κ -Minkowski deformations of ...flat space time. It is further generalized to κ -deformed space time with arbitrary ...
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Quantum walking in curved spacetime: discrete metric
... the least number of coin operators, differently from all previous models, in which the quantum coins were depending continuously upon the spacetime metrics. We hope that these will contribute to the QW toolbox of ...
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Definition of mass and production of equations of general relativity
... two-dimensional space into a curved ...in curved spaces but to study the plane two-dimensional space and transfer relations from it to a curved ...three-dimensional curved ...
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How Quantum Mechanics and General Relativity Can Be Brought Together
... ∂ ∂ (9) This equation describing a quantum wave in curved space-time of GR is our starting point for further conside- rations. This quantum wave is not free anymore because it is affected by the ...
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Space Curved Surface Numerical Control Macro Program Milling Programming and Simulation
... structure curved surface, for example, the pat- tern is adopted by double-section and ellipse [11] to conduct ...is curved surface milling macro program logical structure chart, tool path simulation path is ...
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On nonnegatively curved hypersurfaces in hyperbolic space
... Our approach for solving the conjecture of Alexander and Currier in higher dimen- sions (n ≥ 3) is based on the recent work [4] on horospherically concave hypersurfaces in hyperbolic space (cf. Defnition 2.2), ...
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