More complete explanation of the illusion of expansion
- From: Michael Helland <mobydikc@xxxxxxxxx>
- Date: Thu, 24 Apr 2008 15:11:01 -0700 (PDT)
Here's a complete description of the graphs:
|123456|
if X = 3, then it's charted like this:
|..X...|
Ok.
So step 1 X is at 1.
|X.....| (step 1)
On step 2 X is at 3. It's velocity is 2.
|..X...| (step 2)
On Step 3 it is at 4, so its velocity was 1.
|...X..| (step 3)
It's slowing down, when shown together, it looks like this:
|X.....| (step 1)
|..X...| (step 2)
|...X..| (step 3)
If you drew a line through the Xs it would be a curve that depicts
deceleration.
Now the same three steps, shown while zooming-in :
|X.....|
| . . X. . . |
| . . . X. . |
A line through these Xs would be a straight line, that depicts a
constant velocity.
If we interpret the zoom as the literal expansion of space, then:
v = d / t
d increases proportionately with the t, and the velocity stays the
same.
If you don't interpret the zoom as expansion, then d stays the same,
and a decelerating v and inversely increasing t match the same data.
.
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