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The term Minkowski diagram refers to a specific form of spacetime diagram frequently used in special relativity. 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.
Minkowski's principal tool is the Minkowski diagram, and he uses it to define concepts and demonstrate properties of Lorentz transformations (e.g., proper time and length contraction) and to provide geometrical interpretation to the generalization of Newtonian mechanics to relativistic mechanics.
Rindler chart, for = in equation (), plotted on a Minkowski diagram.The dashed lines are the Rindler horizons. The worldline of a body in hyperbolic motion having constant proper acceleration in the -direction as a function of proper time and rapidity can be given by [16]
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 ).
A world line is a special type of curve in spacetime. Below an equivalent definition will be explained: A world line is either a time-like or a null curve in spacetime. Each point of a world line is an event that can be labeled with the time and the spatial position of the object at that time.
Subdivision of Minkowski spacetime with respect to a point in four disjoint sets. The light cone, the causal future, the causal past, and elsewhere.The terminology is defined in this article.
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.
Hermann Minkowski (1864–1909) Russian-born German mathematician and physicist, known for: Minkowski addition; Minkowski–Bouligand dimension; Minkowski diagram; Minkowski distance; Minkowski functional; Minkowski inequality; Minkowski space. Null vector (Minkowski space) Minkowski plane; Minkowski's theorem; Minkowski's question mark function