The term for space in front of the expanding universe is known as the "cosmic horizon" or "observable universe". This is the boundary beyond which we cannot observe or interact with due to the expansion of the universe.
The cosmic horizon is closely related to the Big Bang theory as it marks the distance that light has traveled since the beginning of the universe. This means that objects beyond the cosmic horizon are so far away that light from them has not had enough time to reach us since the Big Bang.
The size of the cosmic horizon is constantly changing and is dependent on the age of the universe. Currently, the cosmic horizon is estimated to be about 46 billion light years in diameter.
No, we cannot see beyond the cosmic horizon. This is because the expansion of the universe is accelerating, causing objects to move away from us faster than the speed of light. Therefore, light from these objects will never reach us.
The cosmic horizon plays a crucial role in our understanding of the universe as it sets a limit on what we can observe and study. It also helps us understand the age and size of the universe, as well as the rate of expansion. Studying the cosmic horizon can also provide insights into the early stages of the universe and the processes that have shaped it over time.