Sometimes, especially in the theory of relativity as it is expressed by Minkowski, the path traced by an object through spacetime.
He was also considering reformulating his theory in four dimensional spacetime, since the properties associated with the higher dimensions are oscillatory and can be represented as fiber bundles over a 4D Minkowski manifold.
Minkowski space | Minkowski | Eugène Minkowski | Oskar Minkowski | Minkowski inequality | Minkowski functional | Minkowski–Bouligand dimension |
Her season 2011-2012 was highlighted by Il trionfo del Tempo e del Disinganno at the Staatsoper Berlin under the baton of Marc Minkowski, Alcina (Bradamante) at the Lausanne Opera under the baton of Ottavio Dantone and Rinaldo (title role) in Reggio Emilia and Ferrara.
In 1923, with W. Perrett, he published what has become the definitive English translation of the seminal papers on relativity by Einstein, Lorenz, Weyl and Minkowski.
He became notable outside his field, especially among string theorists, in 1999 when he discovered the Algebraic holography (also called Rehren duality), a relation between quantum field theories AdSd+1 and conformal quantum field theories on d-dimensional Minkowski spacetime, which is similar in scope to the Holographic principle.
Of interest in this connection would be to see whether the LQG analogue of Minkowski spacetime breaks or preserves global Lorentz invariance, and Carlo Rovelli and coworkers have recently been investigating the Minkowski state of LQG using spin-foam techniques.
Minkowski–Bouligand dimension (also called the metric dimension), a way of determining the dimension of a fractal set in a Euclidean space by counting the number of fixed-size boxes needed to cover the set as a function of the box size
For , the Minkowski distance is a metric as a result of the Minkowski inequality.
In the 1990s Minkowski, along with P. Grieder, worked on the DUMAND Project.