I want to ask a question along the lines of "What would we see if there are four accessible spatial dimensions, and we are 'lifted up' then rotated in the fourth axis?" It will be hard to explain/assess this question without details, so please be patient:

In Flatland, there exist fictional flat creatures who only know 2 spatial dimensions, or only 2 perpendicular spatial axes. In the 3-dimensional world, we can lift a Flatlander up from its flat habitat, and rotate it so as to make it no longer parallel to the plane of its original residence, this will allow the Flatlander to see the insides of its fellow flat creatures. (See picture below:) enter image description here

The question I want to ask is: what would a human see if it is lifted up and rotated like that by a four dimension being in four dimensional space? In particular, how should the vision of such an individual be depicted? As in, should the person see the interior of other people's internal organs? Would the effect be as though the flesh on the observed be stripped off? What about hallways and solid geometric shapes?

I am asking the meta question to find out if such a question belong to the domain of physics S.E., or maybe visual design would be a better place?

  • $\begingroup$ Related to this, flatland inspired one mathematician, Rudy Rucker, to try to visualize 4D space. In 15 years, he wrote, he could see it for a total of about 15 mins. He also said, fwiw, it scared the bejaysus out of him, when it did appear and he would not recommend the experience. $\endgroup$ – user146020 Mar 10 '17 at 0:50
  • $\begingroup$ @Countto10 source? $\endgroup$ – Emilio Pisanty Mar 10 '17 at 12:54
  • $\begingroup$ @EmilioPisanty One of two books I own that he wrote, both good pop sci, but going back a few years it's either in "Geometry, Relativity and the Fourth Dimension", or en.wikipedia.org/wiki/The_Fourth_Dimension_(book). I can dig them out of the attic if you give me a day. $\endgroup$ – user146020 Mar 10 '17 at 13:00
  • $\begingroup$ @EmilioPisanty rudyrucker.com/thefourthdimension is online but you are reading it right now I guess. I will look through the other book tonight. $\endgroup$ – user146020 Mar 10 '17 at 13:17

My answer to these sorts of questions is generally "just ask --- don't ask permission to ask." If it's off-topic, it'll get closed, and there won't really be any hard feelings.

That being said: seeing as how we don't have any evidence that our three-dimensional space is any sort of surface in a four-dimensional bulk (with thoughtful meditations on spacetime and brane theories omitted here), this particular question might be as happy or happier on Mathematics.


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