When an object is moving at a constant speed of Mach 1 (the speed of sound), it creates a phenomenon known as a sonic boom. However, it is important to note that a sonic boom is not a result of infinite wave superposition.
When an object is traveling at or faster than the speed of sound in a medium (such as air), it creates a series of shock waves in its wake. These shock waves compress the air molecules, leading to a rapid increase in pressure. As the object continues to move, these compressed regions of air propagate as a cone-shaped shock wave outward from the object.
The shock wave is not an infinite superposition of waves but rather a single wavefront created by the constructive interference of all the pressure disturbances generated by the object. This wavefront is a result of the continuous buildup of pressure as the object moves through the air.
The sonic boom occurs when this shock wave reaches an observer on the ground. It is a sudden increase in pressure that is heard as a loud noise. The sonic boom is a consequence of the compression of air molecules and the resulting rapid pressure change, rather than an infinite superposition of waves.
So, in summary, when an object moves at the speed of sound, it creates a shock wave that propagates as a single wavefront. This wavefront produces a sonic boom when it reaches an observer, but it is not an infinite superposition of waves.