The Superposition Principle states that in a linear system, the net response at a given time or space is equal to the sum of the individual responses. This principle is fundamental in understanding how waves interact, allowing for phenomena such as interference and diffraction. For example, when two waves meet, they combine to form a new wave pattern, demonstrating how their amplitudes add together.
In quantum mechanics, the Superposition Principle implies that a quantum system can exist in multiple states simultaneously until it is measured. This leads to the concept of quantum superposition, where particles like electrons can be in different positions or states at once, fundamentally challenging our understanding of reality.