Maßerhaltende

Maßerhaltende is a German term that translates to "dimension-preserving" or "mass-preserving" in English, depending on the context. It refers to a process or transformation that does not alter the fundamental size, volume, or mass of an object or system. In physics and mathematics, maßerhaltende processes are often idealizations or describe specific physical laws.

In mechanics, a maßerhaltende transformation is one where the volume occupied by a collection of particles remains constant, even if the particles themselves move. This concept is closely related to the conservation of mass. In fluid dynamics, a maßerhaltende flow means that the mass of fluid passing through a given cross-section per unit time is constant. This is a direct consequence of the principle of mass conservation.

In geometry, a maßerhaltende transformation is a mapping that preserves measures such as length, area, or volume. Examples include isometries like translations and rotations. The term emphasizes the invariance of a specific quantitative property throughout a transformation. Understanding maßerhaltende processes is crucial for analyzing physical phenomena and developing mathematical models that accurately represent the behavior of systems. It signifies that a certain quantity remains unchanged, a fundamental aspect of many scientific principles.