Is vacuum empty space? I don't know...
This is getting picky with definitions, but basically yes. A vacuum is defined by an area of space that is free of matter. A vacuum may, and inevitably does, contain energy however. Energy does not need matter to exist.
As for the term "empty space", this gets into the vagaries of the term "space". "Space" is defined by the four important dimensions, height, width, depth and time (I'll elaborate more on this below). But people also use the word "space" to mean the area outside the Earth's atmosphere that the stars and planets are in (as in "The Space Race", the time when the Soviet Union and America were competing to launch satellites and orbiting craft, or the Space Shuttle). Another term is "outer space", which is almost certainly better to use, as it's at least slightly less confusing. So, if we define "outer space" as the area outside of Earth's atmosphere, then yes it is a functional vacuum. It's not a perfect vacuum, there are a few interstellar particles floating around out there, but the density is so low that there's no real difference for most purposes. But you probably already knew that. I was just making sure that we were all using consistent terms. You'd be surprised how important that is in science, and how many misunderstandings happen when two people are saying the same word and meaning different things!
wannaknow4995 said:
What do u mean by the term "dimension"? When I meant space, I meant space as empty space, not vacuum , or a dimension(p.s. I don't know what a dimension is.) Thanks for your reply anyway. Yeah, space can't be ignored, since, matter and energy act on it. But, the question was, "Does it need space to exist?" {No doubt matter requires space to sxist}
Ok, let's see if I can help you on this one. There are four "dimensions" in which we functionally operate: Height, width, depth, and time (there are probably a good bit more, but they probably aren't very useful and we don't interact with them, but that gets more complicated than you need right now). Dimensions are defined mathematically, but you can understand them without the math. Let me see if I can explain:
Imagine a single point, as a zero dimension object. Now imagine stretching that point in some direction, by doing this you get a 1-dimensional object. It now has width, so your point becomes a line. By stretching your 1-dimensional object in a new direction, you get a 2-dimensional object. If you stretch it straight "up", your line becomes a square. Now it has width
and height. Stretch it in another direction and you get depth. Mathematically there's no reason to stop there, you could keep on adding dimensions, but we know from observation that our universe only has three dimensions that we operate in. However, it's worth noting that some math uses high dimension space for conceptual purposes.
Let me give you another example, your computer screen, right now, is projecting you an image that you see in two dimensions. You have height and width, but no depth. You can't reach into your screen, thus no depth. A TV is the same way. That's why, if you've ever watched American Football, on a Field Goal kick, when the ball is in the air, sometimes you think the ball is going to miss going through the goal posts, but in reality, the kick is straight down the middle. You don't see it correctly without depth (the third dimension). Time is the fourth dimension, and probably a bit of a special case from the others, and a bit too complicated for me to explain, mostly because I probably understand only a little more than you. :)
So when we think of "space" (not necessarily "outer space", but just, for instance, empty space on a table) we are thinking of those three dimensions which we interact with freely, height, width, and depth; and time, which is a special dimension we can only move through in one direction (we can't go backwards in time, obviously ;) ).
So, space, in those four dimensions, is pretty much what the universe exists in. If there were no space, there would be no height, width, depth or time. A place without space would have to be outside the boundaries of the universe (if such a thing can even be said to exist, which it probably doesn't). So, I'm going to disagree with gmax and say that yes, in that sense, energy needs "space" to exist. I guess the "concept" of energy is arguably independent of space (and I would argue against even that), but energy, as a measurable phenomenon, cannot exist in a place that has no "space". We couldn't, for instance, transmit a radio wave or an X-Ray outside the boundaries of the universe. In fact, there is no place in the universe without "space". It's kind of an oxymoron, since the universe is defined by the existence of space.
Oh, and you asked for more information about "A Brief History of Time", well check out
https://www.amazon.com/dp/0553103741/?tag=pfamazon01-20. I would very strongly recommend this book. I read it when I was in High School and it really sparked my interest in understanding the universe.