it's called "finite but unbounded" and it's a very important concept in geometry and has implications across all of physics. the inverse square law is also related to this, as it is about the radial spread of energy emitted from a point emitter. at distance N the linear surface of the cross section of the perpendicular square is N^2, which means that the visible brightness of an object is squared as you get closer to it.

these both relate to the properties of finite and unbounded geometry, and the primordial form of it is a 2 dimensional line, which is called a circle. the sphere is the same geometry in 3 dimensions. the sphere geometry is at the center of everything, the forces of gravity also obey the inverse square law as well, so it's not just energy that follows this, gravity also does, and because gravity does, everything in space is a sphere, all else being equal (in fact they tend to be slightly squashed due to their rotation).

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also, yes, it is about the relation between flat (ortholinear) geometry like a flat square, and how it maps to a circle. a square is actually a renormalized circle, projected onto a linear surface.

the universe itself is a curved space, not like einstein style "curved space" but rather, in the same way as you can forever travel in one direction over teh earth and you keep passing the same places, you can do the same in the universe.

however, as i understand it, this is at odds with mainstream science. space itself is curved. it's actually illogical to suggest that the universe is not also finite and unbounded when everything inside it is finite and unbounded. because the universe is finite.

if you understand the universe is a 4 dimensional hypersphere, you see how absurd big bang and other bang/bust theories actually are. but don't mind me, i'm just saying that just like the earth is not flat, neither is space.

Ok, so I’m onto something 😁

yeah, the flat earth shit completely fails because it disregards finite and unbounded geometries. only a naive idiot would think that just because the rotation of the moon maintains the same face towards us at all times means that the moon is flat, when it has a shadow that exactly matches what you'd see with a ball lit from one direction, walking around it. just make the ball keep facing you and there you have it. the light is moving around but the face is not.

another data point to this you can observe for yourself by looking at a *flat* mirror. when you get up really close to it, you start to notice that your face kinda distorts like your nose and cheeks get bigger and you can't see so much of your ears and side of your head. same reason. lenses, also, are shaped as the intersection of two spheres, and cause light to spread out or spread in. you can get the opposite effect with a concave lens, which is like a section of the difference of two spheres.

haha anyhow. yeah, i'm pretty sure that mainstream astrophysics doesn't assert that space is a finite but unbounded volume, a hypersphere.

the instant implication of this is that there is probably a horizon, but if the universe happens to also be growing, at the rate that we call light speed, at that point where the relative motion of space increasing between two points will create a black void, the 3d horizon. but if the universe is not expanding, then we would zoom in and see the old version of the universe.

i personally think that the universe is expanding, and that this is the base of almost everything else, but specifically gravity, which means that at some point James Webb or some later space telescope will discover a black void instead of the endless field of galaxies it currently sees.

oh yeah, the whole thing of "traveling indefinitely in one direction" is a problem because of light speed. if the lightspeed itself is caused by the expansion of the universe (they are based on the same thing) then you are actually doing a Red Queen paradox by going as fast as you can, to actually stay in one place.

and another implication of the expanding universe idea i have, is that actually, you are actually in the same place always, but you are removing space from in front of you when you move around, and putting that space behind you.

i still haven't thought about a falsifiable experiment to prove this, i'm sure there is a way. the thing is though, if we really can see so far into space, then either the expansion is nonuniform, or it isn't expanding.

i had some dick trolling me about these ideas i have, as it's foundational to some ideas i have about how to control gravity. i'm not selling some book based on my half baked theory, it's my life's passion to figure out gravity.

like, one way that might resolve this issue is if that matter itself causes space to expand, but then i don't know how that would even work, but i know there is some esoteric branches of quantum physics involving dimensional manifolds, that might explain it.

i just don't have the time to dedicate to actually working on it, and i'm quite shit at regular mathematics. i can do math in programming code but the ideas i'm exploring blow up to such stupendous numbers so quickly. maybe some day i will learn how to do regular math lol. i understand the shit but i can't fucking read the formulas.