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A spacetime diagram is a graphical illustration of locations in space at various times, especially in the special theory of relativity.Spacetime diagrams can show the geometry underlying phenomena like time dilation and length contraction without mathematical equations.
A spacetime diagram is typically drawn with only a single space and a single time coordinate. Fig. 2-1 presents a spacetime diagram illustrating the world lines (i.e. paths in spacetime) of two photons, A and B, originating from the same event and going in opposite directions. In addition, C illustrates the world line of a slower-than-light ...
SpaceTime product debuted in beta on June 4, 2007. On the day of the release, the San Jose Mercury News noted that the software was "the most advanced 3-D navigation system I've seen", [4] while TechCrunch commented that SpaceTime is "pure eye candy, sort of like Second Life meets Firefox." [5] The technology was later presented at the 2008 CES ...
Interactive geometry software (IGS) or dynamic geometry environments (DGEs) are computer programs which allow one to create and then manipulate geometric constructions, primarily in plane geometry. In most IGS, one starts construction by putting a few points and using them to define new objects such as lines , circles or other points.
The principle of local Lorentz covariance, which states that the laws of special relativity hold locally about each point of spacetime, lends further support to the choice of a manifold structure for representing spacetime, as locally around a point on a general manifold, the region 'looks like', or approximates very closely Minkowski space ...
Thus, the geometry of a stationary spacetime does not change in time. In the special case ω i = 0 {\displaystyle \omega _{i}=0} the spacetime is said to be static . By definition, every static spacetime is stationary, but the converse is not generally true, as the Kerr metric provides a counterexample.
However, this definition can be strictly formalized using the spacetime triangle diagrams. Playing the same role as the Feynman diagrams in particle physics , STTDs provide a strict and illustrative procedure for definition of areas with the same analytic representation of the integration domain in the 2D space spanned by the non-separated ...
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