Translational symmetry refers to a property of a system where it looks the same when shifted or translated by a certain distance in a specific direction. This concept is commonly observed in various fields, including physics, mathematics, and art. For example, a repeating pattern in a wallpaper exhibits translational symmetry, as moving the pattern horizontally or vertically does not change its appearance. In physics, translational symmetry is significant because it implies the conservation of momentum. According to Noether's theorem, every symmetry in a physical system corresponds to a conservation law. Thus, if a system remains unchanged under translation, the total momentum of that system remains constant over time.