singlecentered

Singlecentered is a term used across mathematics, physics, and related disciplines to describe a configuration or system that has one distinct central point, as opposed to configurations with multiple centers. The concept emphasizes a unique origin or focal point around which symmetry, mass, charge, potential, or other relevant quantities are organized.

In geometry and spatial reasoning, a single-centered object or coordinate system is one that possesses a single center of symmetry or rotation. For example, many classic geometric figures (like circles) are described as centered at one point, from which distances or angles are measured. In potential theory and physics, a single-centered potential refers to a system where the essential singularity or source is located at a single point, whereas multi-centered formulations involve several centers.

In gravitational and field theories, single-centered solutions describe objects or configurations with one core or horizon, in contrast to multi-centered solutions, which involve several interacting centers. This distinction is especially relevant in areas such as supergravity and gauge theories, where the arrangement of centers affects stability, interactions, and moduli spaces.

The term can be encountered with hyphenation variants such as single-centered or single-centered, depending on regional spelling conventions. While the core idea is simple—one central point—the precise definition of “center” can vary by context, including geometric, mass- or charge-centered, or symmetry-centered interpretations. Consequently, singlecentered descriptions are frequently contrasted with multi-centered configurations to highlight differences in structure, dynamics, and boundary conditions.