If we are ever able to build an amazing enough telescope (far better than what we have - the kind needed to see freckles on planets thousands of light years away), and we are able to find a reflective surface in deep space at the right angle, would it be possible to observe our own reflection and see ancient earth unfold in real time? Watch dinosaurs live out their lives?
In a general sense, I guess I'm really just asking if you guys think we will ever be able to take advantage of the speed of light in some way to observe our ancient past. If its as simple as having another perspective in space, it seems like technology could get us there rather easy.
You have two questions.
Is it possible to see things in the past? Yes. Light takes time to travel, so if you found a reflector at a distance you could see things in the past.
Is it possible to watch OUR ancient past? No. At that kind of distance the angular diameter distance would make that practically impossible. The farther away something is, the smaller the angle it takes up. Look at how much light we get from nearby stars and how tiny their angle is. The smaller the angle the less photons there are. You'd be looking at an angle that is hundreds of light years away, or for the dinosaurs, millions of light years away. With our current technology we are able to detect planets at the 50 light year range, and even then they are detected not usually by direct observation of the planets but as statistical analysis of the tiniest blips of signals around a star.
So the planets around Tau Ceti, the are 10 light years away. Even so, we cannot actually see the planets. We can see the tiny variations in the star's light and use that to estimate the properties of the planet itself. There is not enough detectable light coming from the planets to even figure out what kind of atmosphere they have, let alone what was happening on the planet's surface 10 years ago.
Even if you did set up a reflector at the right distance and angle to see back hundreds of years, or thousands of years, or especially millions of years, there won't be enough concentration of light for any meaningful observation.