In our current understanding of physics based on Einstein's theory of special relativity, it is not possible for an object with mass to travel faster than the speed of light in a vacuum. As an object with mass approaches the speed of light, its relativistic mass increases, and the energy required to accelerate it further becomes infinite. This means that it would take an infinite amount of energy to accelerate a massive object to the speed of light, making it an impossible feat.
Moreover, as an object approaches the speed of light, time dilation occurs, meaning that time appears to pass more slowly for the moving object relative to an observer at rest. At the speed of light, time would stop for the moving object.
If an object with mass were somehow able to exceed the speed of light, it would lead to several paradoxes and violations of causality, where cause and effect relationships could be observed out of order. This is one of the reasons why the speed of light is considered an unbreakable speed limit in our current understanding of the universe.
Regarding the comparison to the sonic boom, the concept doesn't directly apply to objects moving faster than light because it is not possible for them to do so within our current understanding of physics. The notion of a "light boom" or similar effect doesn't arise in our current understanding of the laws of nature.