First, let me preface this by stating that I'm just a layperson who is quite interested in this sort of thing. I'm just putting some of my thoughts down as they occur to me without any scientific theory behind it.
Having just watched the
first two of four episodes of "The Fabric of the Cosmos", they theorise that the the only reason time has a
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I can guess what you mean, but is it ever meaningful to say that time goes at one second per second normally, and half a second per second when slowed down? Can time itself slow down?
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I don't know. Sounds like it is vague enough for a good SF story.
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But to me, I 'could' read that as "gravity affects the free movement of atomic particles when applied as a force" ... which wouldn't mean 'time' had been affected, just the atom generating the pulse for the mechanism....
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The dimensions of space are symmetric: the universe as a whole has no "up". You can orient your X,Y and Z axes any way you like and the laws of physics keep working.
Time is different: it's asymmetric. Specifically, the Second Law of Thermodynamics distinguishes the "past" from the "future" and doesn't work if you swap them over. This also means you can't exchange the T and X axes and expect the universe to keep working in the same way that it would if you exchanged the Y and X axes.
(Personally, I wouldn't say time has a direction due to the big bang; I'd say it has a direction because of thermodynamics. It's the origin and direction of our universe's time axis that are intrinsic to the big bang.)
Frequently, we plot graphs of some quantity against time. Or we draw Feynman diagrams. And so on. Just as we can look at the entire M1 on a road map "all at once", we can look at an exponential ( ... )
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This probably all sounds rather confused - it is. This is why I need to really get my head around all this stuff before I can really say anything on the subject that makes much sense :)
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That's how we can tell that space is expanding. Or, more exactly, that's what we mean when we say that space is expanding. You could instead say that the speed of light is changing, but that redefinition of "the speed of light" would have a knock-on effect for the whole of the rest of physics (and the hard sums would turn out to be even harder if expressed in those terms).
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I tend to think that things like "space itself is expanding" or "time slowing down" (which make about as much sense as one another) are what the word "metaphysics" should really refer to :-)
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