The phrase "without stopping" can be replaced with various synonyms such as continuously, incessantly, endlessly, uninterruptedly, and perpetually. These words convey the idea of something continuing without a break or pause. Additionally, the word "non-stop" is also a commonly used synonym and is often used in the context of travel or transportation, such as a non-stop flight or a non-stop train. Whether it's music that's playing without pausing or a conversation that flows smoothly without interruptions, a range of synonyms can be used to convey the idea of things happening without stopping.