I've understood that with timelike intervals all observers agree on the order of events and with spacelike intervals the order of the events can be changed with the reference frame. However, I wanted to know what these two types of intervals physically/intuitively represent?
So what physical difference separates a spacelike and timelike interval?
A spacelike interval is where one event is outside the light cone of the other event. No matter how fast you travel ($c$ being the maximum of course), you can never reach or influence this other event.
A timelike interval is where one event is inside the light cone of the other event. You could travel between these two events i.e. there can exist a causality between the two events.
You may want to search the site for other, better and more in-depth, answers to mine. Here's one I found which you might like to read through: What spacelike, timelike and lightlike spacetime interval really mean?
