Diametercausing

Diametercausing is a neologism used to describe a process, transformation, or agent that increases the diameter of a cylindrical or roughly convex object, where diameter is defined as the greatest distance between any two points in the set. The term is not widely standardized and appears primarily in informal discussions across mathematics, physics, and applied sciences to denote diameter-expanding behavior.

In mathematics, a transformation is called diameter-causing if it increases the diameter of at least some set S, i.e., diam(f(S)) > diam(S). A classic example is uniform scaling by a factor greater than one, which multiplies all pairwise distances and thereby enlarges the diameter. In contrast, rotations and translations preserve diameter, while many nonlinear or anisotropic maps may either increase or decrease diameter depending on the geometry of the set and the map.

In applied contexts, diameter-causing phenomena describe real-world effects that enlarge cross-sectional size. Examples include solvent-induced swelling in polymers or hydrogels, osmotic expansion of biological tissues, and vasodilation that increases the diameter of blood vessels. These usages focus on practical outcomes rather than formal properties, illustrating how diameter changes relate to physical or biological processes.

Because diameter is defined differently across disciplines, diametercausing remains informal. For precision, it is advisable to specify the exact definition of diameter (for example, Euclidean diameter in a given space) and the specific transformation or process involved, or to use more established terms such as diameter-increasing or dilation when appropriate.