The shape of the cosmos

Serrendipity in viewing the following three videos on YouTube in this sequence conjures an unlikely but curiously intriguing thought...

1. The 1995 Hubble photo that changed astronomy

2. Why does light slow down in water?

3. A Miraculous Proof (Ptolemy's Theorem) - Numberphile

The first video shows images of the early universe as it existed over 14 billion years ago.

Hubble image of the Big Bang

The second video provides a possible explanation for why the light from 14 billion years ago is only now arriving at the Hubble Space Telescope... namely that the light may have travelled quite slowly through the material existing in the early universe (just as it travels more slowly through water) while the outer parts of the expanding universe zipped off at a faster pace.

The third video gives a perplexing suggestion for the Hubble Space Telescope seeing the early universe no matter which direction it is pointing.

If the Hubble Space Telescope pointing in one direction viewed the early universe as a small bubble, then it might have been that when pointed in the opposite direction it would view the outer edges of the universe that had travelled ahead of the Milky Way galaxy as the universe expanded.

Curiously the Hubble Space Telescope viewed the earliest components of the universe no matter which direction it pointed.

The third video describes a process for creating one specific isomorphism of a geometrical structure.

"Reflection" - one type of transformation - "it will keep his elephant-ness"

"our inversion is a completely different animal"

• Points on the transform circle go to themselves. Points outside the circle go to points inside the circle. 
• Lines through the centre of the transform circle go to themselves. Lines not through the centre become circles through the centre.

  

  Lines through the centre go to themselves

• Circles inside the transform circle but not through the centre go to circles that are outside the transform circle. 

The latter mapping for circles inside the transform circle -in particular for those that are increasingly near to the centre- go to ever more distant circles outside the transform circle.

This is a description that uncanningly matches Hubble Space Telescope's images of the early universe.

Instead of seeing a miniature bubble in only one direction that represents the early universe, what the Hubble Space Telescope sees is a vast uniformly distant bubble that light has travelled for 14 billion years from all directions to reach it.

Perhaps the Hubble Space Telescope's image is of Aladdin's Shoe.
The view containing the Elephant has been subjected to an abstract mathematical transformation?