## Economics Dictionary of ArgumentsHome | |||

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Minkowski space: The Minkowski space is a four-dimensional space-time continuum that was introduced by Hermann Minkowski in 1907. It is used in Einstein's theory of special relativity to describe the relationship between space and time. See also Space time, Theory of Relativity, Space curvature._____________ Annotation: The above characterizations of concepts are neither definitions nor exhausting presentations of problems related to them. Instead, they are intended to give a short introduction to the contributions below. – Lexicon of Arguments. | |||

Author | Concept | Summary/Quotes | Sources |
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Bernulf Kanitscheider on Minkowski Space - Dictionary of Arguments I 472 Minkowski space/Kanitscheider: the flat space-time of special relativity (SR). Four-dimensional Euclidean space spanned with the imaginary time coordinate ict = x4.(Notation: t time, c speed of light). Here the laws of the SR can be represented particularly simply. A point (event) is a world point, a place vector a world vector, the path of a particle a world line. Lorentz transformation means here a simple rotation of the coordinate system. If one chooses as time coordinate the real quantity x _{0} = ct = ix4 , then the space has a pseudo-Euclidean metric.The square of the length of any world vector is then given by R ^{2} (squares of the coordinates). For R^{2} > 0 the world vector is space-like, for R2< 0 time-like.Light cone: the null cone or causality cone defined by R² = 0: The area within the light cone (R² < 0) includes all events which are or can be causally related to events in the vertex. Def Haussdorff space/Kanitscheider: a topological space is Haussdorffian if the Def separation axiom is satisfied: if x and y are two distinct points from T, then there are environments U(x) and U(y) such that there is no intersection of the two environments. >Relativity theory, >Space curvature, >Weyl principle. I 183 Spacetime/Kanitscheider: The Minkowski space (asymptotically flat in great distance is isotropic only from our location! I.e. from other points of view, the universe looks different. This is unsatisfactory. Our requirement is that the whole universe is isotropic (looking the same from all sides) and homogeneous (same approximate density everywhere). I.e. that if one puts a cut S(t) = const through the space-time, then one receives three-dimensional spaces (not Minkowski), which possess everywhere constant curvature and material condition. Friedman succeeded in 1922 to present a solution model. >Field equations/Kanitscheider. _____________ Explanation of symbols: Roman numerals indicate the source, arabic numerals indicate the page number. The corresponding books are indicated on the right hand side. ((s)…): Comment by the sender of the contribution. Translations: Dictionary of Arguments The note [Concept/Author], [Author1]Vs[Author2] or [Author]Vs[term] resp. "problem:"/"solution:", "old:"/"new:" and "thesis:" is an addition from the Dictionary of Arguments. If a German edition is specified, the page numbers refer to this edition. |
Kanitsch I B. Kanitscheider Kosmologie Stuttgart 1991 Kanitsch II B. Kanitscheider Im Innern der Natur Darmstadt 1996 |

> Counter arguments against **Kanitscheider**

> Counter arguments in relation to **Minkowski Space**