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mesmerizing infinity


michel123456

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Just wanted to share

post-19758-0-01565000-1474717357.gif

 

 

Click on the image if the gif doesn't start.

 

It is a scale factor.

It can also be seen as if you were traveling. It follows the rules of perspective: there is a focus point, all the lines are extending geometrically from this point. But the on graph it is a scaling.

 

And the scale factor pictures an acceleration, but that is not so easy to decipher.

 

Here below an explanation to my acceleration comment.

post-19758-0-32178700-1474718235_thumb.jpg

*(edit) for a regular time interval (say each second) the length increase exponentially.

 

So that the next time you travel on the highway you may realize that although moving at constant speed you see the surrounding scaling and that corresponds to an acceleration.

Even worse: If you stay at rest, you see the world around you deformed exactly like a scale factor would do. And that corresponds to an acceleration.

Edited by michel123456
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Click on the image if the gif doesn't start.

 

You have to attach anim GIF, then click it yourself in your almost ready post, copy full image url, and then use Image tool (or use [ img] ... [ /img] tags) and paste forum url.

http://www.scienceforums.net/uploads/monthly_09_2016/post-19758-0-01565000-1474717357.gif

post-19758-0-01565000-1474717357.gif

Edited by Sensei
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You have to attach anim GIF, then click it yourself in your almost ready post, copy past forum full image url, and then use Image tool (or use [ img] ... [ /img] tags) and paste forum url.

http://www.scienceforums.net/uploads/monthly_09_2016/post-19758-0-01565000-1474717357.gif

Thank you. Done.

 

Another way of looking at it is that the speed is proportional to separation => Hubble's Law! (Which is also due to scaling.)

Exactly!!

And we are experiencing all the time a similar phenomenon when looking around us.

Edited by michel123456
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Another way of looking at it is that the speed is proportional to separation => Hubble's Law! (Which is also due to scaling.)

And something more: i have lebeled the distances corresponding to T1, T2,T3, T4 as d1,d2,d3,d4

post-19758-0-96116200-1474835121_thumb.jpg

 

_Well, if you look at what is happening as if you were traveling (perspective view), the distances d1,d2,d3,d4 are the same. Imagine for example driving on the highway and looking at the distance between posts along the road. The distance between the post is regular (it is the same) simply because of perspective it looks like the distance increase as much it is close to you. At the horizon the distance looks like zero. However, we know that it is the same distance. d1=d2=d3=d4

post-19758-0-64535300-1474835805_thumb.jpg

 

_when you view it as a scale factor, it is exactly the same. Again d1=d2=d3=d4. What increases is the metric, not the distance.

Edited by michel123456
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