Results 1 to 10 of about 14,765 (135)
Geometry without topology as a new conception of geometry [PDF]
, 2001 A geometric conception is a method of a geometry construction. The Riemannian geometric conception and a new T-geometric one are considered. T-geometry is built only on the basis of information included in the metric (distance between two points).
Rylov, Yuri A.
core +4 more sources
A new look at loop quantum gravity [PDF]
, 2010 I describe a possible perspective on the current state of loop quantum gravity, at the light of the developments of the last years. I point out that a theory is now available, having a well-defined background-independent kinematics and a dynamics ...
Alesci E +36 more
core +5 more sources
A Lorentzian version of the non-commutative geometry of the standard model of particle physics [PDF]
, 2006 A formulation of the non-commutative geometry for the standard model of particle physics with a Lorentzian signature metric is presented. The elimination of the fermion doubling in the Lorentzian case is achieved by a modification of Connes' internal ...
Barrett, John W.
core +2 more sources
, 2005 A fascinating and deep question about nature is what one would see if one could probe space and time at smaller and smaller distances. Already the 19th-century founders of modern geometry contemplated the possibility that a piece of empty space that ...
Ambjorn, J., Jurkiewicz, J., Loll, R.
core +7 more sources
Loop Quantum Gravity on Non-Compact Spaces [PDF]
, 2000 We present a general procedure for constructing new Hilbert spaces for loop quantum gravity on non-compact spatial manifolds. Given any fixed background state representing a non-compact spatial geometry, we use the Gel'fand-Naimark-Segal construction to ...
Arnsdorf +23 more
core +3 more sources
Patching up the No-Boundary Proposal with virtual Euclidean wormholes [PDF]
, 1998 In quantum cosmology, one often considers tunneling phenomena which may have occurred in the early universe. Processes requiring quantum penetration of a potential barrier include black hole pair creation and the decay of vacuum domain walls.
A. Linde +33 more
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Nonperturbative Quantum Gravity [PDF]
, 2012 Asymptotic safety describes a scenario in which general relativity can be quantized as a conventional field theory, despite being nonrenormalizable when expanding it around a fixed background geometry.
A. Görlich +161 more
core +2 more sources
Discrete space-time geometry and skeleton conception of particle dynamics
, 2011 It is shown that properties of a discrete space-time geometry distinguish from properties of the Riemannian space-time geometry. The discrete geometry is a physical geometry, which is described completely by the world function.
J.L. Synge +7 more
core +1 more source
Perfect imaging with positive refraction in three dimensions [PDF]
, 2009 Maxwell's fish eye has been known to be a perfect lens within the validity range of ray optics since 1854. Solving Maxwell's equations we show that the fish-eye lens in three dimensions has unlimited resolution for electromagnetic ...
J. C. Maxwell +7 more
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Discrete constant mean curvature nets in space forms: Steiner's formula and Christoffel duality
, 2014 We show that the discrete principal nets in quadrics of constant curvature that have constant mixed area mean curvature can be characterized by the existence of a K\"onigs dual in a concentric quadric.Comment: 12 pages, 10 figures, pdfLaTeX (plain pdfTeX
Bobenko, A. +2 more
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