Warping from one hemiplane to another

[Optic Cabling]

Under DET, walking off the edge of one hemiplane causes you to appear on the opposite end of the other one. This raises a number of problems.
1: Why can you see the other hemiplane if you are at the equator, about to step into it, if it's actually just empty space?
2: The aether vacuum necessary to create this supposed effect would attract the two hemiplanes together (because aether moves from high concentration to low), until they collided and there was no more aether vacuum, thus no more dual earth.
3: Why do you show up on the opposite side? How does the aether vacuum discriminate based on location?

[JRowe]

Firstly, don't think of it as warping. Forgive me if I'm wrong, but I expect you first heard of that aspect of the model from a REer; it is a persistent straw man that simply isn't accurate. The key thing to grasp is that nothing special happens at the equator, it's movement through space like it is anywhere.

1. Space is not the vacuum of outer space, it is the fabric of space; the very medium required for distance. There isn't empty space at the equator, there's space stretched thin. You just look through it, the same as you would any other space. Essentially all that happens is that the distance you observe on a diagram of the model is stretched thin; what looks like a long distance on a depiction is next to no distance at all, so there's nothing to see from that perspective between the sides of the equator.
2. After a fashion, the discs have collided. That's why we observe gravity; the Earth is the middle of two mostly balanced flows, so it stays stationary, while we're carried down by the flows. It wouldn't translate to 'no more aether vacuum' however, because of the cyclic flow, explained in the overview.
3. If you take a step forwards, you take a step forwards. The principle there doesn't vary based on location, and that's all that really happens at the equator. However, if you alter direction, you'd end up somewhere different after that one step. You can't turn around in lack of space; there's no distance in which to do so. You'd just continue on in the same straight line.

[Optic Cabling]

I got all my information from your theory threads, I just couldn't think of a better term for magically jumping from one location to another.

1. 'Space stretched thin' does not explain why we see beyond the equator. If the other hemiplane is functionally below us as step over the edge, then we wouldn't be able to see it. The only way we could see it is if it were in front of us.
2. Cyclic flow means that there will be aether in between the two disks (to satisfy the entire point of cyclic flow), therefore there is no 'space stretched thin', as the low concentration will attract higher concentrations of aether underneath the disks, negating any warping abilities.
3. So, i it can't discriminate based on location, why (in your provided diagrams) do we show up on the opposite side of the opposite hemiplane when we step over the edge? There is no reason why the 'space stretched thin' could be able to do this.

[JRowe]

Like I said, there is no magical jumping. The fact nothing special happens at the equator is key to all of this. This seems to be the crux of most of your misunderstanding; don't imagine what's happening as any kind of jump or warp. Space is thin there, so a regular step appears to cover a larger distance from a perspective in a thicker concentration.

1. It is in front of us, from that perspective. Space isn't the simplified, uniform medium people assume. You can only see with reference to the space you exist in, and for that space it's flowing in a specific fashion; you see along that direction because that's where the space comes from. The same way matter's carried through space (or, rather, occupies a fixed point in space in the absence of movement, and said point can move with reference to other points in space), so too is light.
2. There is aether between the discs, just a negligible amount (mostly, there is a higher concentration right in the centre, but you'd have to reach incredible altitudes to even brush it when crossing the equator. The high concentration is always flowing to the low concentration, just as it's always flowing out to fill the low concentration left in its awake. A cyclic flow, by its definition, has to leave things non-uniform, else there'd be no flow.
3. I'm not sure what you imagine would happen. If you take a step forward, you don't end up in the same location regardless of which way you're facing. The direction you travel in determines your destination, nothing special about that. The space doesn't need to do anything. Cross the equator, you're travelling in a straight line. That's all.

[Optic Cabling]

So, if what you say is correct, then if you were to draw the dual-earth model in normal space, without drawing the "aether" or anything like that, you'd just end up with a sphere. Is that not correct?

[JRowe]

Absolutely not, the discs are flat. There is no way to create a sphere from them, short of completely twisting and contorting everything out of shape.
As far as drawing it in normal space goes, it depends what you mean. if you mean trying to create a similar set-up in Euclidean space, you can't. It's just impossible, the shape is not Euclidean. It would be closer to an infinite, repeating plane, but as circles don't fit together like tiles even that won't work.