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A Minkowski diagram is a two-dimensional graphical depiction of a portion of Minkowski space, usually where space has been curtailed to a single dimension. The units of measurement in these diagrams are taken such that the light cone at an event consists of the lines of slope plus or minus one through that event. [ 3 ]
Minkowski_diagram_-_time_dilation.png: Wolfgangbeyer derivative work: Duschi ( talk ) This is a retouched picture , which means that it has been digitally altered from its original version.
The following other wikis use this file: Usage on cs.wikipedia.org Prostoročasový diagram; Usage on de.wikipedia.org Minkowski-Diagramm; Diskussion:4D; Usage on en.wikiversity.org Dynamics/Kinematics/Reference Frames; Usage on eo.wikipedia.org Lorenca transformo; Usage on es.wikipedia.org Diagrama de Minkowski; Usage on eu.wikipedia.org
Commonly a Minkowski diagram is used to illustrate this property of Lorentz transformations. Elsewhere, an integral part of light cones is the region of spacetime outside the light cone at a given event (a point in spacetime). Events that are elsewhere from each other are mutually unobservable, and cannot be causally connected.
Hyperbolic motion can be visualized on a Minkowski diagram, where the motion of the accelerating particle is along the -axis. Each hyperbola is defined by x = ± c 2 / α {\displaystyle x=\pm c^{2}/\alpha } and η = α τ / c {\displaystyle \eta =\alpha \tau /c} (with c = 1 , α = 1 {\displaystyle c=1,\alpha =1} ) in equation ( 2 ).
Hermann Minkowski (1864–1909) found that the theory of special relativity could be best understood as a four-dimensional space, since known as the Minkowski spacetime. In physics, Minkowski space (or Minkowski spacetime) (/ m ɪ ŋ ˈ k ɔː f s k i,-ˈ k ɒ f-/ [1]) is the main mathematical description of spacetime in the absence of gravitation.
Minkowski diagram: Sending a message with superluminal speed from O via A to B in the own past. Both observer consider the temporal order of the pairs of events O and A as well as A and B different. Date: 12 September 2011, 11:25 (UTC) Source: Minkowski_diagram_-_time_travel.png; Author: Minkowski_diagram_-_time_travel.png: Wolfgangbeyer
For easy visualizations of four dimensions, two space coordinates are often suppressed. An event is then represented by a point in a Minkowski diagram, which is a plane usually plotted with the time coordinate, say , vertically, and the space coordinate, say , horizontally. As expressed by F.R. Harvey