Aspiring to a Higher Plane: “Flatland: A Romance of Many Dimensions” (2011)
publicdomainreview.org
publicdomainreview.org
I've had a look around and cannot find it online, though the excellent animated adaptation is easy to find [1] - well worth picking up the hardcopy as a beautifully designed picture book.
I'd also recommend Norton Juster's other work "The Phantom Tollboth" as being another great math & science inspired kids fairy-tale type book [2]
[0] https://en.wikipedia.org/wiki/The_Dot_and_the_Line
While the classism mostly consisted of the typical oft-repeated jabs that don't really mean anything, the sexism felt much stronger. So much so that I assumed that it was meant to be satire. But is it reflective of the views that were prevalent at the time it was written?
Computing would work better in a higher dimensional space. Propagation delay is less of a problem because you can have more things closer to each other. Cooling would be easier with an extra dimension or two into which heat could be radiated.
But if higher dimensional beings want to run a universe simulation, 3D would be enough for entertainment purposes.
This is only tangential, but a few months ago I vaporized 50mg of DMT after spending a day studying linear algebra and differential equations. You only ever take back flashes, but I remember seeing this higher-dimensional hypercube where every "face" of the cube was a 3 dimensional space. I came away from that trip feeling that our universe was just one of infinitely many solutions to a higher-dimensional equation. I still haven't decided if that makes any sense or not.
Cool. Did everything else appear "flat" in comparison?
Think electronics: no bridges -> no cables crossing
Think biology: any kind of digestive tract would split a purely 2D being in two.
Think neurons, and then think of the Four Color Theorem[0].
How are you going to feed the center cells all while trying to get a feedback loop?
Still struggle with the idea of feeding said thing properly in 2d.
Take Game of life for example. It doesn't matter that you cannot make circuits without crossing wires in 2D, Game of Life is turing complete anyways. A computer based on GoL is totally unlike our 3D computers, but can have the same capabilities. There's no reason to think that it would be any different with biology.
Or you can try comparing our 3D world with a hypothetical higher dimension. Our intestines are hollow cilinders, stable in 3D but not suited for 4D — in 4D you can look inside a 3D cilinder just like we can look inside a 2D-sphere (a circle) from our 3D perspective. A 4D creature would probably have a very different, more efficient, structure for this use case (food containment and nutrient absorption), which they probably wouldn't be able to just translate to 3D.
https://en.wikipedia.org/wiki/The_Planiverse
http://www.csd.uwo.ca/faculty/akd/PERSONAL/books_and_article...
E.g. if I want to simulate humanity, while I need to create the appearance of a universe, the scope of observation of the universe is very, very limited, so I don't need to actually simulate anything other than Earth and maybe a few minor bits and pieces of the solar system. Outside of that, I can take a leaf from the book of Elite, and simply have a way to generate whichever bits and pieces that those annoying astronomers happens to try to observe, to sufficient fidelity to feed into the simulation.
On Earth too, I could simplify drastically. E.g. there was a school of philosophy called Empirio-Criticism that believed only that which is directly observed by the senses exist (they are perhaps best known today through an obscure book by Lenin called Materialism and Empirio-Criticism [1] largely motivated by the fact that one of Lenins opponents in the Bolchevik party was leading supporter of the empirio-criticists). Ernst Mach - a physicist - caused some consternation, for example, by expressing doubt that atoms existed... As such it occupies a middle ground between Berkeleys Idealism and Materialism.
But imagine if they were right in the context of a simulation: The simulation, like games like Elite or Minecraft, only instantiates what you can observe directly, and when you can no longer observe it, it is either discarded, or stored (e.g. Elite re-generates each solar system on entry; Minecraft after a while de-spawns any entities that are not contained, so e.g. you can maintain an animal farm, but only as long as the animals are in a small enough enclosure). Since you could introspect the mind of the simulation subject, you could determine (or change!) which details the subject remembers, and allow everything else to be re-generated as needed.
Furthermore, depending on the simulation goals, it'd not necessarily need every person in the simulation to be "real" - it could imbue persons you run into with a personality and generated mind just for the time you interact with them, and step their complexity up/down as needed.
It doesn't need to be correct, just to be believable by someone who has no memory that contradicts it.
Lastly, unless there are reasons we don't know that requires a simulation of a mind to run at a specific speed, a lot can be solved simply by slowing a simulation down.
In other words: If you first go down the rabbit hole of a simulated reality, things get hairy quite quickly.
[1] https://en.wikipedia.org/wiki/Materialism_and_Empirio-critic...
Part of the conceit of the film is that it's continuously interrupted by snarky title cards. The action continues, you can hear the audio, but all you see is the title card. For me, this single thing completely ruined the otherwise excellent film --- they weren't required to understand the story, they didn't add anything to the theme, they just got in the way, every single time. They're painfully, painfully long, too.
If there was a version of the film which was otherwise identical but without the title cards, I'd definitely suggest checking it out. As it is, YMMV.
Hey, it's on Youtube. https://www.youtube.com/watch?v=Mfglluny8Z0