Final answer:
The look-back time of 2 billion years for a galaxy indicates we are seeing the galaxy as it existed 2 billion years in the past due to the time it takes for light to travel to us. This concept is a crucial tool for astronomers to study the evolution of galaxies over the universe's history.
Step-by-step explanation:
When we say that a galaxy has a look-back time of 2 billion years, we mean that we are observing the galaxy as it was 2 billion years ago because that's how long the light has taken to travel from the galaxy to us. This concept allows astronomers to see galaxies at various stages in their evolution by observing them at different distances, effectively creating a timeline that depicts the history of the universe and the life story of these galaxies. As we observe galaxies further away, we're looking further back in time, giving us insights into the early universe and the formation and evolution of galaxies.
For galaxies close to us, like Andromeda, the changes over timescales of a few million years may not be significant, but by studying extremely distant galaxies, we can witness the conditions of the universe as it was over 10 billion years ago. By comparing galaxies at various look-back times, astronomers can piece together a picture of galactic evolution, from 'baby' galaxies in the early universe to mature 'adult' galaxies in the current 13.8-billion-year-old universe.
To further understand galactic evolution, astronomers also study the oldest stars in our own Galaxy, which serve as a kind of 'fossil record' for the history of the universe. These observations contribute to building our knowledge of the cosmos, despite the significant uncertainties that are inherent in cosmology.