11dimensionale

11-dimensional, often abbreviated as 11D, refers to spaces or theories that involve eleven independent directions or coordinates. In mathematics it denotes manifolds whose local neighborhoods resemble eleven-dimensional Euclidean space. In theoretical physics, 11D models describe a spacetime with eleven dimensions, typically one time dimension and ten spatial dimensions, equipped with a Lorentzian metric of signature (-,+,...,+).

In mathematics, 11-dimensional Euclidean space R^11 is the simplest example, and higher-dimensional spaces are studied in differential geometry and topology. Concepts such as linear subspaces, projections, and curvature extend neatly to eleven dimensions, though intuition often becomes limited as dimension grows.

In physics, 11-dimensional theories are central to M-theory, a framework that aims to unify energy scales of different superstring theories. The low-energy limit of M-theory is eleven-dimensional supergravity. In these models, the extra dimensions are usually compactified on small manifolds (for example, G2-manifolds) or curled up on tiny circles, leaving an effective four-dimensional world. The theory also posits extended objects called branes, notably M2- and M5-branes, which propagate through the eleven-dimensional bulk.

Experimental status: No direct evidence of eleven dimensions exists; the extra dimensions are typically compactified at the Planck scale, rendering them inaccessible with current experiments. The concept remains a theoretical tool for exploring unification and quantum gravity.