It all started by the quest of, what is light? Already in the 17th century the Danish astronomer Roemer, discovered that the moons of Jupiter were moving at a different speed from summer to winter. He concluded that since the distance changes during the year, it must be the effect of the speed of light, which he calculated quite closely, considering the technology of the time.
Then the question was: What is light? Does it moves like a sound wave? If so, in what does it move? And we called it, the ether! Light moves like a wave in the ether. Then we tried to measure if the ether move itself. For example, if a bird flies in the wind, it will go faster with the wind than against it. So we tried to find the "speed of the ether" but ... we couldn't find anything!
Then Einstein said: "What if the speed of light is constant and there is not ether?" If so, time and space must be two sides of the same thing and he called it, spacetime!
When you see the sun, you see how it was 8 minutes ago, the closest star, Proxima Centauri, how it was 4.5 years ago and, distant galaxies, how they were billions of years ago.
Hence, when you see in space, you also see in time and the past is a sphere around us! Yes it is and that is why the Cosmic Microwave Background (CMB) that is the left-over of the Big Bang, comes from all directions in the sky!
The universe has no center as any observer will observe it as being at its center. The universe has no edge either since it does't matter how you are, you always observe it as being at the center, pretty much like the fish swimming in an ocean without continents is always in the middle of the ocean!
Since two different observers, each in their own frame of observation, can observe two different things, they are both right! And that is what Relativity is all about.
Say, I fly a spaceship near the speed of light. I switch on my headlights and I see it lightning an object ahead of my, at once. But you, from another place, sees the headlight moving slowly ahead of me because you see me moving at nearly the speed of light. We observe differently and that is because, for me, time runs differently than for you.
The funny thing about Einstein is that everybody remembers him as an old man with long hair and a white mustache. But in reality, Einstein found everything, before he was 30 years old!