Upload log
Below is a list of the most recent file uploads. See the gallery of new files for a more visual overview.
- 17:15, 27 May 2006 Hillman talk contribs uploaded File:Slabs.png (This figure illustrates analogous situations in three-dimensional euclidean space '''E'''<sup>2</sup> (left) and three-dimensional Minkowski spacetime '''E'''<sup>1,2</sup> (right). The figure at right shows the "world sheet" of a slab which is "booste)
- 02:32, 20 May 2006 Hillman talk contribs uploaded File:Ring2Ring Born Chart.png (This figure depicts a null geodesic arc in the Born chart for Minkowski spacetime. In this chart, the world lines of ''Langevin observers'', who ride on disks rotating with constant angular velocity, appear as vertical lines. Th)
- 02:25, 20 May 2006 Hillman talk contribs uploaded File:LangevinScrew BornChart.png (This figure depicts, in the Born chart, the desynchronization of clocks carried by observers riding on a rigidly rotating disk. The z coordinate is inessential and has been supressed in the figure. Consider integral curves of the th)
- 23:59, 17 May 2006 Hillman talk contribs uploaded File:BornChartRadialNullGeodesicTracks.png (This figure depicts the tracks of representative radial null geodesics in the Born coordinate chart for Minkowski spacetime, in which the world lines (nongeodesic timelike curves) of ''Langevin observers'' appear as vertic)
- 23:50, 17 May 2006 Hillman talk contribs uploaded File:Rotating Ring Cyl Ring2RingRadar.png (This schematic figure illustrates the concept of ''radar distance'' between two ''Langevin observers'' in Minkowski spacetime. Langevin observers rotate rigidly around r = 0 (in a standard cylindrical chart) with angular)
- 23:41, 17 May 2006 Hillman talk contribs uploaded File:Rotating Ring Cyl Cntr2RingRadar.png (This figure schematically represents the concept of ''radar distance'', one of several distinct operationally significant notion of distance which can employed by ''Langevin observers'' (and other accelerating observers) in Minkowski spacetime. Thi)
- 23:28, 17 May 2006 Hillman talk contribs uploaded File:Langevin Frame Cyl Vorticity.png (This figure illustrates the nonzero ''vorticity'' of the timelike congruence of world lines of ''Langevin observers'', who rotate about the axis r=0 in cylindrical coordinates with angular velocity ω. In th)
- 23:16, 17 May 2006 Hillman talk contribs uploaded File:Langevin Frame Cyl Desynchronization.png (This figure illustrates the ''desychronization'' of a clock transported around a rotating ring. The gold light cones are the light cones of various ''Langevin observers'' in Minkowski spacetime. These observers rotate rigidly with angular velocity &o)
- 18:17, 10 May 2006 Hillman talk contribs uploaded File:Bell observers experiment2.png
- 18:14, 10 May 2006 Hillman talk contribs uploaded File:Bell observers.png (This png image was converted using eog from a jpg image made using Maple by User:Hillman.)
- 18:13, 10 May 2006 Hillman talk contribs uploaded File:Bell observers expansion.png (This png image was converted using eog from a jpeg image made using Maple by User:Hillman)
- 18:11, 10 May 2006 Hillman talk contribs uploaded File:Bell observers experiment1.png (A thought experiment related to one discussed by J. S. Bell (see Bell's spaceship paradox). Two observers in Minkowski spacetime accelerate with constant magnitude <math>k</math> acceleration for proper time <math>sigma</math> (acceleration and e)
- 18:08, 10 May 2006 Hillman talk contribs uploaded File:Bell observers experiment2.png (A thought experiment related to one discussed by J. S. Bell (see Bell's spaceship paradox). Two observers in Minkowski spacetime accelerate with constant magnitude <math>k</math> acceleration for proper time <math>sigma</math> (acceleration and e)
- 00:13, 5 May 2006 Hillman talk contribs uploaded File:RindlerObserversCartesian.png (This figure depicts some representative ''Rindler observers'' in a ''Rindler wedge'' <math>0 < \abs{T} < X</math> in a Cartesian chart for Minkowski vacuum, <math> ds^2 = -dT^2 + dX^2 + dY^2 + dZ^2, \; \; -\infty < T, X, Y, Z < \infty </math> The world li)
- 00:00, 5 May 2006 Hillman talk contribs uploaded File:RadarDistanceRindler.png (The concept of ''"radar distance"'' for illustrated in the Rindler chart :<math>ds^2 = -x^2 \, dt^2 + dx^2 + dy^2 + dz^2, \; \; 0 < x < \infty, \; -\infty < t, y, z < \infty</math> for the Minkowski vacuum (flat spacetime). The vertical red line at far)
- 23:48, 4 May 2006 Hillman talk contribs uploaded File:MinkowskiObserverRindler.png (A Minkowski (static) observer depicted in the Rindler chart for the Minkowski vacuum (flat spacetime), :<math> ds^2 = x^2 \, dt^2 + dx^2 + dy^2 + dz^2, \; \; 0 < x < \infty, \; -\inft < t, y, z < \infty</math> This observer has world line :<math>t=\arcco)
- 23:37, 4 May 2006 Hillman talk contribs uploaded File:UHS geodesics.png (Geodesics in upper half space model of three-dimensional hyperbolic space '''H'''<sup>3</sup>. The metric is :<math> ds^2 = \frac{dx^2+dy^2+dz^2}{x^2}, \; \; 0 < x < \infty, \; \; -infty < y,z < \infty </math> Some typical geodesics through one point are)
- 01:19, 25 March 2006 Hillman talk contribs uploaded File:KruskalSzekeres PenroseCarter.png (Penrose-Carter diagram showing conformal structure of the maximal extension of the Schwarzschild vacuum solution in general relativity, sometimes called Kruskal-Szekeres spacetime. This diagram was made with Dia 0.92 and exported)
- 08:24, 23 December 2005 Hillman talk contribs uploaded File:EnergyConditions.png (Implications among four commonly used energy conditions in the case of a perfect fluid.)
- 06:55, 13 December 2005 Hillman talk contribs uploaded File:Lorentz group subalgebra lattice.png (Supplied missing line segment.)
- 05:23, 13 December 2005 Hillman talk contribs uploaded File:Lorentz group subalgebra lattice.png (Lattice of subalgebras of the Lie algebra of the Lorentz group, taken up to conjugacy. The vectors X1, X2, ... X6 refer to the second set of generators given in the article Lorentz group.)
- 16:24, 18 October 2005 Hillman talk contribs uploaded File:Pith helmet.gif (This is an illustration of a three-dimensional hyperslice of a simple example of static spherically symmetric perfect fluid solution, with one dimension supressed, embedded in a flat euclidean spacetime for ease of visualizing the geometry. The figure sh)
- 21:09, 7 October 2005 Hillman talk contribs uploaded File:Pw nevac caustics shortwave.gif (Cosine curves illustrating shortwave approximation for world lines of the family of inertial observers discussed in Monochromatic_electromagnetic_plane_wave, represented in the Brinkmann chart.)
- 20:52, 7 October 2005 Hillman talk contribs uploaded File:MathieuCPrime shortwave.gif (Sinusoidal approximation to derivative of Mathieu cosine Cprime(a,q,x). In the example, a=0.3, q=0.1)
- 20:50, 7 October 2005 Hillman talk contribs uploaded File:MathieuC shortwave.gif (Sinusoidal approximation to the Mathieu cosine C(a,q,x). In the example, a = 0.3, q = 0.1.)
- 12:37, 4 October 2005 Hillman talk contribs uploaded File:Pw nevac monochrom expansion.gif (Exact (red) and approximate sinusoidal (green) transverse components of the expansion tensor for the exact monochromatic electromagnetic plane wave solution in general relativity, with q = 1/2, \omega = 5.)
- 12:18, 4 October 2005 Hillman talk contribs uploaded File:Pw nevac monochrom metric.gif (Example of metric component g_{yy} for the exact monochromatic electromagnetic plane wave in general relativity, with \omega=5, q = 1/2.)
- 00:06, 4 October 2005 Hillman talk contribs uploaded File:MathieuCE.gif (The first few periodic Mathieu cosine functions, for q=1, n = 0,1,2,3.)
- 23:51, 3 October 2005 Hillman talk contribs uploaded File:MathieuCosine example.gif (Example of Mathieu cosine function C(1,1/5,x) (red curve), plotted from -4 pi to 4 pi, compared with cosine (green curve). The Mathieu exponent of this example is approximately 1 + 0.0995 i.)
- 23:28, 3 October 2005 Hillman talk contribs uploaded File:MathieuFloquet.gif (An example of a Floquet solution F(1, 0.2, x) to Mathieu's equation. Red: real part; Green: complex part.)
- 15:58, 3 October 2005 Hillman talk contribs uploaded File:MatheiuCosine.gif (Red curve: Mathieu cosine function MC(1,0.2,x). Green curve: cos(x).)
- 06:27, 11 September 2005 Hillman talk contribs uploaded File:VanStockum dust tiltcones.gif (This figure depicts some light cones in the van Stockum dust, an exact solution to the Einstein field equation. The frame vectors e_0, e_3, e_4 are also shown. This frame appears static in our comoving cylindrical coordinate chart, but it is actually sp)
- 05:58, 11 September 2005 Hillman talk contribs uploaded File:VanStockum dust inspiral.gif (This figure depicts a thought experiment in the van Stockum dust, an exact solution of the Einstein field equation. The figure shows the world lines of three dust particles, one (green) sitting on the axis of symmetry, and two others (blue), with two set)
- 23:09, 10 September 2005 Hillman talk contribs uploaded File:Goedel lambdadust tiltcones.gif (This figure depicts a closed null curve in a cylindrical chart for the Goedel lambdadust solution, an exact solution of the Einstein field equation.)
- 21:50, 10 September 2005 Hillman talk contribs uploaded File:Goedel lambdadust samplecones.gif (Couldn't overwrite my first (junky) figure so now I am trying to make another one.)
- 21:49, 10 September 2005 Hillman talk contribs uploaded File:Goedeldust samplecones.gif (Still another attempt)
- 21:46, 10 September 2005 Hillman talk contribs uploaded File:Goedeldust samplecones.gif (Something went wrong with upload, trying again.)
- 21:43, 10 September 2005 Hillman talk contribs uploaded File:Goedeldust samplecones.gif (Much improved figure showing two sample light cones in the Goedel lambdadust solution.)
- 23:40, 9 September 2005 Hillman talk contribs uploaded File:Goedel lambdadust centralcone.gif (Hawking and Ellis picture of behavior of light emitted from an event on the symmetry axis of the Goedel lambdadust solution: light spirals outwards, forms a circular cusp (a null curve, but not a null geodesic), then spirals back inwards and reconverges a)
- 23:25, 9 September 2005 Hillman talk contribs uploaded File:Goedel lambdadust centralcone inspiral.gif (This figure depicts the inspiral of null geodesics into an event on the symmetry axis <math>r=0</math> in a "cylindrical" chart for the Goedel lambdadust solution, which is interpreted as a "lag" due to the rotation of nearby dust particles.)
- 23:00, 9 September 2005 Hillman talk contribs uploaded File:Goedeldust samplecones.gif (This figure shows the appearance of the light cones in a certain "cylindrical" chart for the Goedel lambdadust solution.)
- 21:10, 23 August 2005 Hillman talk contribs uploaded File:Dennis William Sciama.gif (Dennis William Sciama (1926-1999), British physicist. Image provied courtesy of John Miller (public domain).)
- 01:47, 23 August 2005 Hillman talk contribs uploaded File:Biographical Barnstar for Brainnumbingly Obscure Web Research.png (Image for the Biographical Barnstar for Brainnumbingly Obscure Web Research)
- 01:36, 23 August 2005 Hillman talk contribs uploaded File:Image-Biographical Barnstar for Brainnumbingly Obscure Web Research.png (Image for the Biographical Barnstar for Brainnumbingly Obscure Web Research)
- 21:48, 18 August 2005 Hillman talk contribs uploaded File:RobinsonShiftExample.gif (Colourful example of a (2,2) Robinson shift)
- 21:15, 18 August 2005 Hillman talk contribs uploaded File:FibonacciTiling.gif (Construction of (1,1) Sturmian tiling S(W) where W is a line with slope the reciprocal of the golden ratio by the oblique tiling method. Aka Fibonacci tiling or one-dimensional Penrose tiling.)
- 21:08, 18 August 2005 Hillman talk contribs uploaded File:FibonacciObliqueTiling.gif (An oblique tiling showing construction of (1,1) Sturmian tiling with slope the golden ratio, a.k.a. "one-dimensional Penrose tiling".)
- 02:29, 16 August 2005 Hillman talk contribs uploaded File:BrandonCarter.jpg (Image of Brandon Carter (b. 1942) from his home page, used by permission (with Creative Commons license))
- 02:22, 16 August 2005 Hillman talk contribs uploaded File:Carter01.JPG (Brandon Carter (b. 1942) Creative commons license.)
- 02:18, 16 August 2005 Hillman talk contribs uploaded File:Brandon Carter.JPG (Brandon Carter (b. 1942))