@Hollow-world theory: This theory includes the requirement that light does not run in straight lines, but along the vurvature so that it
appears to run in straight lines on a curved surface. That would then have to also apply to other electromagnetic waves, including radio signals, so they, too, will follow the surface. Therefore, even if there indeed was a straight line from one side of the world to the other that went through space, it wouldn't help, since the radio waves would not follow that line, giving you the same effect: destination unreachable.
However, AFAIK this theory
can be disproven by the following experiment: assume you dig two shafts straight downwards. This would not be affected by sight and optical laws. Straight down. Then you connect these two vertical shafts by a horizontal one. Now measure the distance between the shaft endings on the surface and underground. If the surface is inside a ball, then the distance at the surface will be smaller than that underground. Otherwise, it will be larger.
Anyway, back to Yliakum now: there exist no special laws of nature that would make light go in bends or somesuch, thus the Yliaki can, given the required science and math, deduce that they're inside something. From the settings, it is clear that they
do know that. What they
don't know (but assume from the dimensions of the levels), is that they are inside a stalactite that hands inside a cave.
There is a book at Jayose's library that talks about the dimensions of the world (with a caveat that it might be incorrect). According to that book
- there is a huge hole in the very center of each level. Through that hole the light from the crystal travels to the levels below. The dimensions of the holes are such that the light can reach the outskirts of the level below, hence the holes diameters shrink along with the level diameter.
The gods made the slopes between the levels so that the light of crystal could illuminate all the available land
That likely means that the holes are not vertical, but coned (i.e., the diameter of the hole is larger at it's lower end).
- the levels are spaced 5km apart, and are 5km think, except the first level which is 10km thick and the ceiling is 10km high.
- the first level is not inside the stalactite, but inside the rock that it hangs from, which is why it can connect to the stone labyrints at all. This is also why mining is allowed there: you can't dig through the walls into the cave (though you could reach the bottom of the level's floor given sufficiently advanced mining techniques; also, excessive mining would still destabilise the stalactite, regardless of where it is done; however, the scale of mining would have to meet todays RL standards for it to have any such effect).
- All water enters the stalactite through the first level, where vast underground rivers come from the stone walls. That water then travels through the level and to the lower levels. I assume that part of it falls down through the center hole, and part through cracks in the levels or walls.
- the lowest levels (7 and 8) are submerged, the center holes are filled by water as well. Depending on season, the 6th level is partially submerged or dry. The center hole is a huge lake when viewed from the dried sixth level.
- the water exits the stalactite through the bottom of the 8th level. This means that there are cracks through which it flows out, and falls from the stalactite in a huge waterfall down into the cave, where it forms a huge lake at the shores of which the Lemur settlement, left over from Laanx's wanderings and now ruled by the Black Flame, is located.
The dimensions of the stalactite, according to the book, would, in theory, allow one to see from one side to the other.
The first level has a total diameter (hole included) of 50 km (...) with an inner circumference of about 102 km, with an outer circumference of about 157 km. This means a surface of 1256 square km. The second level has a total diameter of 40 km, the floor is 5 km wide, with an inner circumference of about 102 km, with an outer circumference of about 125 km. This means a surface of 549,8 square km
Assuming this continues, the 8th level will be a puddle of mere 1.25km in diameter.
It also means that the planet's crust must, at least at the place where Yliakum is located, be thicker than that of earth, since otherwise the underside of the stalactite would be below it, let alone the huge cave, especially since the stalactite's upper end is about 10km below the surface.
Regarding the percentage of Yliakum that is implemented: I think it's nowhere near 1/16th. Yliakum is an entire country, after all. Given the sheer physical dimensions and the fact that ATM we have only two cities, of which only a tiny fraction is implemented, and some open space that would, if laid out in a straight line, AFAICS not even suffice to connect the two cities when they are placed where they belong in the long run, it is clear that we see, at best, 1/100th of Yliakum, likely much less. This does not even account for the planetary surface, the stone labyrinths, the cave below the stalactite, Pradesha and the other planes that the portals lead to.
The dimensions would, compared to the earth's atmosphere, probably allow atmospheric phenomena to develop (considering that the weather on earth forms in the lower 18km of the atmosphere), which means that, contrary to my previous interpretations of Yliakum weather (which were founded on a much lower ceiling), RL-like weather, including rain, could possibly form. This does, however, not exclude the possibility of trickles of water that fall frim the ceiling, though they would be heavily disturbed by atmospheric motion and thus affect an area, not a single place.
Regarding the planet: I am not aware of a name either. There, however, must be similarly many planets in the PS universe as in the RL one, given that Laanx and Talad, according to the settings,
discovered one quiet planet with a crystal column full of energy and mystery.
This implies there are lots of other planets.
Regarding the lunatic: I don't think that would work. The lunatic cannot know the names of the machinery like lasers or computers. They might not even know the word "simulation". It is possible for them to describe things in terms of a chess-board, but not in terms of modern-day tech.
Edit: corrections