Can someone explain spacetime to me? "Time is the fourth dimension of space," but what the hell does that mean?! It just doesn't make sense to me. I don't reject it, for that very reason, but I'm sorely tempted because it strikes me as utterly nonsensical.
I think you raised two different issues:
- what does "time is the fourth dimension" mean?
- what is spacetime?
In regard to your first question, maybe it would help to think of things mathematically: any quantifiable property can be thought of as a variable... i.e. a dimension for the purposes of an equation. However, only certain variables are completely independent.
For example, say I want to come up with a mathematical function that represents every point within this room. Let's call it f, where f equals air pressure, say. What determines f? Well, it might be a number of things:
- distance from an open window
- wind speed and angle outside
- location relative to objects in the room
- etc., etc.
If you break each of these things down, you can express each one as its own function of measurements along basic dimensions:
- distance from the open window is a function of the x, y and z co-ordinates measured from some reference point.
- wind speed and wind angle are functions of time as the wind changes
- location relative to objects in the room is a function of both spatial co-ordinates (i.e. where you are and where the object is) but also potentially of time: if the curtains are fluttering or the cat is walking across the floor, then your location is a function of time as well.
However, you can't express time as a function of the spatial dimensions x, y and z, and f depends on time; there's no single answer for f(x,y,z); you need a fourth variable to get an answer: f(x,y,z,t).
First off, is spacetime a theory, or a hypothesis? If the former, how in the world was it tested?
I'm not sure if you're talking about relativity here, but it seems like you might be. Our movement in space affects the passage of time for us. This effect is only really measurable with very precise instruments or at extreme conditions, but it is measurable. Gravity affects the passage of time. Speed affects the passage of time. For the most part, testing this just comes down to taking two ultra-precise clocks, synching them, subjecting them to different gravitational fields or speeds, and then seeing how much they're different.
Also, we can test this by looking at distant stars and galaxies. Remember the Doppler effect from science class? Well, it applies to light as well. When we make astronomical observations, the frequency of the light is shifted by the Doppler effect - we call this redshift. However, when we observe objects moving close to the speed of light, we see that the redshift that we predict using classical equations is off: the frequency it predicts isn't the frequency we see. The difference between the two is due to relativistic effects: the movement of the object through space has effected how time passes for it.
Redshift - Wikipedia, the free encyclopedia
Anyway, even if it's true, it seems to me that there would be two different modes of time. Spacetime, and linear progression. There was still something before the Big Bang.
I think you may be confusing concepts here. Spacetime is
what we move through as time passes; linear progression is
how we move through it.