Time is a fundamental aspect of our universe and is intricately linked to space in what is known as spacetime. According to our current understanding in physics, time exists everywhere in the universe. It is a dimension that is experienced and measured, and it is a fundamental component of the fabric of spacetime.
However, it's important to note that the nature of time can vary depending on the context and conditions. In extreme environments, such as near black holes or during the early moments of the universe, the effects of gravity and high-energy physics can cause time to behave differently. For example, near a black hole, intense gravitational forces can cause time dilation, where time appears to slow down for an observer outside the black hole relative to someone closer to the black hole.
While these scenarios can lead to unusual temporal experiences or effects, time itself does not cease to exist. It remains a fundamental part of the structure of the universe, and it is an integral component of our existence and the processes that govern our physical reality.