conformal transformations

Conformal transformations are mathematical operations that change the shape of an object while preserving angles between intersecting lines. In physical terms, they can be visualized as stretching or squeezing a surface, like reshaping a rubber sheet, without distorting its inherent structure. These transformations are essential in fields like physics and geometry, particularly in the study of space and time in general relativity, where they help simplify complex equations and maintain the fundamental properties of shapes and their relationships. Essentially, conformal transformations help us understand how different perspectives can yield the same underlying truth.