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Deactivating Anti-Space-Time attack mechanism limiter... | Sonic Cosmology Downgrade Part 2

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Game Sonic cosmology is currently rated as 6D due to having an extra spatial dimension (4D) plus two temporal dimensions (4+2D). In this thread I will be refuting the scaling based off of there supposedly being an extra spatial dimension in the cosmology.

"Tesseract" scaling refuted​

The blog justifies this scaling by citing an instance where it seems that Eggman has built a tesseract. However, there are multiple issues with this.

First of all, this is not remotely enough evidence to prove that the structure in question is a tesseract. We have zero statements that it is a tesseract, and literally the only evidence for it being a tesseract is it vaguely looking like the model of a shadow of a tesseract in three dimensions (which is itself only three dimensional!). A tesseract is a spatially 4-dimensional construct, so you cannot distinguish it from appearance alone. We especially cannot say that something is a fourth dimensional object if it's just a wireframe of a cube connected to the wireframe of a smaller cube inside of itself. This 3D model has the same appearance, but it obviously isn't fourth dimensional. Unless we actually get a statement that the structure was a tesseract (which we haven't) or see that structure move/interact with other things in a way that makes it much more likely to be a tesseract (which we haven't), we cannot reasonably conclude that Sonic's cosmology has a fourth spatial dimension.

Second of all, the way that the structure works actually disproves the idea that it's a tesseract. The reason why a tesseract contains a small looking cube inside of it is because it's an extension of how we may display a 3D cube in 2D.
cube.png

As you can see, it looks like a square connected to a smaller square inside of it. What's happening here is that the "bigger square" is a face of the cube that's closer to the viewer, whereas the "smaller square" is a face of the cube that's further from the viewer. The smaller square, however, is separated from the bigger square by the third dimension. Similarly, the "smaller cube" that looks like it's inside the "bigger cube" in a tesseract is separated from it by the fourth dimension.

Contrary to this, it kinda looks like Sonic is just able to move to the "smaller cube" with normal 3-dimensional movement which wouldn't be possible with a tesseract. The structure, for all intents and purposes, is just a normal cube wireframe connected to a smaller cube wireframe inside of it (which materializes into a normal 3D cubic room) rather than some crazy higher-dimensional object.

Edit: 4D maze scaling refuted​

The blog also claims that Eggman built a 4D maze, which the blog later uses to attempt to justify treating Cyberspace as spatially 4D and 5D in total. The blog attempts to justify this by pointing out that Eggman's maze loops in on itself and contains the aforementioned tesseract-looking thingy. The blog then says that this looping in on itself probably maybe applies to the tesseract looking thingy as well, and since a tesseract turns in on itself when it rotates, that must mean that the thingy is in fact a tesseract and the maze is 4D for containing a tesseract.

As you can probably tell, this logic is extremely flawed. First of all, it utilizes the fallacy of division when arguing that, since the maze turns in on itself, this means that the tesseract contained by the maze must also be turning in on itself. The fact is that we never actually saw the structure that resembles the model of a tesseract turn in on itself nor do we have any reason to believe that it did. Second of all, it assumes that "turning in on itself" is proof that the tesseract-looking thingy must actually be a tesseract when that simply isn't proof of an object being a tesseract. The blog even admits that this logic is shaky (a huge understatement) but proceeds to use it as proof anyways.

"4th dimension space" scaling refuted​

The blog also cites the existence of "4th dimension space" as evidence for a fourth spatial dimension, but there's no reason for us to assume that it's 4+1D space rather than just 3+1D space. And even if we did (we don't!), the blog would still have to prove that its extension into the fourth spatial dimension is significant enough to warrant higher tiering (they didn't). That doesn't even get into the fact that this is just a name, so it's not valid scaling, especially considering the fact that fiction uses terms like "the second dimension" or "the fourth dimension" without actually talking about geometric dimensions all the time. It's already been accepted here and further explained here that mentions of "dimensions", even if using the kanji "次元" are not sufficient proof of anything regarding geometric dimensions (here's a blatant example of "次元" in Sonic not referring to actual geometric dimensions). There are way too many problems with scaling off of this for it to be viable.

Final words​

So yeah, there's no proof of a fourth spatial dimension existing in the game Sonic cosmology. The verse's scaling should be downgraded to 5D (3 spatial dimensions, 2 temporal dimensions with hypertime).

Staff evaluation:​

Agree:
Disagree:
Qawsedf, Dalesean027
Neutral: DarkDragonMedeus (leaning towards agreeing)
 
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Love how the Sonic fandom didn’t even get a single day break period from the 16 page day war from the last CRT before immediately going back to war here.
This one should be easier. The spatial dimension scaling only has part of a blog dedicated to it, and DDM has already voiced his disapproval towards it elsewhere. The evidence is also weaker.
 
Yeah, no, nope, nuh-uh.

You know that space is continuously changing around those located inside it due to a spatial warping effect that's a result of Dr. Eggman bending the laws of physics to his will in order to create a space that circumvents spatial laws; allowing him to construct an autonomously tessellating, proportionally expansive structure with no limitations? Dr. Eggman could also freely control gravity within this space.
Even a "starry sky" and a tesseract is located inside of it.

A tesseract, also called a 4-cube / hypercube is the four-dimensional analog of a cube. Just as a cube is built by extruding a square through a third spatial dimension, a tesseract is formed by extruding a cube into a fourth spatial axis; one that is orthogonal to the x, y, and z axes. This fourth axis cannot be visualized directly but can be mathematically modeled using four-dimensional coordinate systems.

A tesseract has each 16 vertices, 32 edges, 24 square faces, and 8 cubic cells, one of these cubic cells being a normal 3D cube, the same way a cube has 6 square faces.

While we only ever see a 3D projection of a tesseract (which may look like a cube inside a cube connected by lines), that DOESN'T invalidate the object's dimensionality any more than a 2D drawing of a cube makes it non-3D. As such, the existence of a projected tesseract in a comical space (especially one tied to space-bending effects, non-Euclidean layouts, and internal looping geometries) is AT LEAST indicative of an attempt at higher-dimensional conceptualization, and not just an aesthetic coincidence.

Eggman's space warps proportion, gravity, and geometry, which inherently breaks 3D limitations. If something tessellates proportionally with no bounds, you're already implying non-Euclidean geometry, which is not possible in 3D without abstract embedding (like 4D manifolds).

You Don’t Need a Text Box That Says "This Is a Tesseract"
Just like how we don't need a character to say, Idk, "this is a black hole" for it to be one if it acts like one, behavioral and structural evidence can support dimensional claims.

Projection ≠ Denial


Every 4D object is projected into lower dimensions. The fact that it appears as a cube-inside-cube is exactly what a 3D tesseract projection looks like. That's not invalidation FYI, that's confirmation of how a tesseract should appear.

The structure also HAS traits unique to Tesseracts
Gravity shifting, internal looping, disconnected spaces with connected exits, and autonomous scaling are all traits tied to higher-dimensional constructs, especially when happening concurrently.

All of this showing that's a realm with four spatial dimensions.

Still not enough?
We got a realm LITERALLY called 4th Dimensional Space. AKA The higher plane of Maginaryworld, dreamed into existence by the Goddess of Dreams herself; Illumina. It encompasses all other Dream worlds, seeing them as nothing but flat images on a screen. It is also described as an infinite fourth-dimensional space and has a time component within it.

The totality of Maginaryworld is countless, possibly Infinite Low 1-C for being an infinite 4-Dimensional Space with a time component (accepted in this thread) and for containing all the Higher-Dimensional Dreams (like the Egg Field and the Ancients' Cyber Space) within itself.

But what's trying to sound academically bulletproof by casually name-dropping logical fallacies like the Fallacy of Division? lol

Unironically, while engaging in your own fallacy: Appeal to Ignorance. Just because something hasn't been outright stated doesn't mean it can't be inferred based on environmental, spatial, or mechanical behaviors shown in-universe. Fictional works very often rely on implication and environmental storytelling, especially when dealing with concepts like dimensional space, because spoon-feeding the audience every term defeats the narrative. Your repeated obsession with "we don’t get an explicit statement so it doesn’t count" is anti-analytical.

You can't demand rigorous mathematical proof from a piece of stylized fiction.

The biggest issue with the whole debunk approach is that you're actively avoiding proper research and instead spend your time nitpicking semantics to justify his pre-decided downgrades.

You're cherry-picking what "counts" and what "doesn't count" based solely on whether it supports your narrative. You're not cross-referencing the spatial logic shown, nor engaging with developer intent, environmental design, nor EVEN understanding spatial philosophy. You treats anything visually abstract as purely aesthetic without ever considering why a space is constructed the way it is (especially when it's shown to alter gravity, loop infinitely, and break physical structure.)

At this point, it's clear you're not debating in good faith, just finding whatever tool you can to downgrade.
 
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You know that space is continuously changing around those located inside it due to a spatial warping effect that's a result of Dr. Eggman bending the laws of physics to his will in order to create a space that circumvents spatial laws; allowing him to construct an autonomously tessellating, proportionally expansive structure with no limitations? Dr. Eggman could also freely control gravity within this space.

While we only ever see a 3D projection of a tesseract (which may look like a cube inside a cube connected by lines), that DOESN'T invalidate the object's dimensionality any more than a 2D drawing of a cube makes it non-3D. As such, the existence of a projected tesseract in a comical space (especially one tied to space-bending effects, non-Euclidean layouts, and internal looping geometries) is AT LEAST indicative of an attempt at higher-dimensional conceptualization, and not just an aesthetic coincidence.
Warping space, tessellating (which just refers to a repeated pattern), and internal looping are not indicative of higher dimensionality. All of these things can be done with three spatial dimensions. If anything, it's more indicative of non-euclidean geometry.
Eggman's space warps proportion, gravity, and geometry, which inherently breaks 3D limitations. If something tessellates proportionally with no bounds, you're already implying non-Euclidean geometry, which is not possible in 3D without abstract embedding (like 4D manifolds).
Non-Euclidean geometry is absolutely possible in just three dimensions. Non-Euclidean geometry is based off of intrinsically curved spaces, with intrinsic curvature being a separate concept from extrinsic curvature. Extrinsic curvature requires higher dimensions, intrinsic curvature does not. You don't need higher dimensions to have an intrinsically curved 3-dimensional space.
You're begging the question by assuming that it's actually a tesseract.
I already addressed why scaling based off of a realm being called "4th Dimensional Space" isn't valid. You have no reason to assume that it's 4+1D space rather than 3+1D space:
The blog also cites the existence of "4th dimension space" as evidence for a fourth spatial dimension, but there's no reason for us to assume that it's 4+1D space rather than just 3+1D space. And even if we did (we don't!), the blog would still have to prove that its extension into the fourth spatial dimension is significant enough to warrant higher tiering (they didn't). That doesn't even get into the fact that this is just a name, so it's not valid scaling, especially considering the fact that fiction uses terms like "the second dimension" or "the fourth dimension" without actually talking about geometric dimensions all the time. There are way too many problems with scaling off of this for it to be viable.

That's why I'm making this thread. To refute what was accepted there. This is a direct counter to it.
Fictional works very often rely on implication and environmental storytelling, especially when dealing with concepts like dimensional space, because spoon-feeding the audience every term defeats the narrative.
None of the examples you cited single out higher dimensionality rather than more generic non-euclidean space (which is not inherently higher dimensional)
 
The structure also HAS traits unique to Tesseracts
Gravity shifting, internal looping, disconnected spaces with connected exits, and autonomous scaling are all traits tied to higher-dimensional constructs, especially when happening concurrently.
I think it's pretty important to reiterate the fact that it's literally false that any of these are "unique to tesseracts."
 
I already addressed why scaling based off of a realm being called "4th Dimensional Space" isn't valid. You have no reason to assume that it's 4+1D space rather than 3+1D space:
bro what
And the final map: 4TH DIMENSION SPACE. The final map is the 4TH DIMENSION SPACE. The last stage in the Story Mode, will you be able to successfully clear the endless 4-dimensional space? The detailed maps and tricks will be introduced in the next article, so please wait a little longer.Skeleton Puzzle on the website! Currently, a skeleton (crossword puzzle) is being held on the official homepage .The Skeleton (crossword) puzzle campaign is currently being held on the official website until the 28th of this month. Check it out!
They are clearly trying to emphasize how big the map is so why would it be 3+1D???
Will you be able to successfully clear the endless 4-dimensional space?
straight up buns argument
 
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"4th dimension space" scaling refuted​

The blog also cites the existence of "4th dimension space" as evidence for a fourth spatial dimension, but there's no reason for us to assume that it's 4+1D space rather than just 3+1D space. And even if we did (we don't!), the blog would still have to prove that its extension into the fourth spatial dimension is significant enough to warrant higher tiering (they didn't).
Fourth Dimensional Space would already necessitate being of significant size because of the endless/infinite nature of the multiverse, as FDS gsthers dreams from throughout all the multiverse.

An endless/infinite multiverse would necessitate an axis which is significant.
That doesn't even get into the fact that this is just a name, so it's not valid scaling, especially considering the fact that fiction uses terms like "the second dimension" or "the fourth dimension" without actually talking about geometric dimensions all the time. There are way too many problems with scaling off of this for it to be viable.
Except it already displays a superiority to 4-D dream worlds, as entire 4-D structures are projected like flat images on a screen in Fourth Dimensional Space.

So I disagree with this thread because of Neon's reasons, and your continuation of making dubious assertions that are debunked by the story itself.

Farm Ws from a different verse, you aren't built strong enough for Sonic yet.
 
I already addressed why scaling based off of a realm being called "4th Dimensional Space" isn't valid. You have no reason to assume that it's 4+1D space rather than 3+1D space:
Yeah so apparently seeing all dreams—from all other dimensions that are assembled and become real, becoming universes/dream worlds, shaped by one's desires and aspirations of both positive and negative influences depending upon the person—as a flat image on a screen is simply 3-D.

Because obviously a compressing boundless, desire-forged multiversal constructs into a single readable snapshot doesn't imply any spatial transcendence. It's just a really ambitious PowerPoint.🙏

Even The Egg Field—which is described as an infinite super other-dimensional space, even after Dr. Eggman had created his maze, supported by the fact that it could hold several dream worlds inside of it which would've brought to reality Eggman's desired world as the "truth" if it hadn't been destroyed—doesn't count!

Buttt... Idk, maybe the Egg Field is 5-D due to it containing several universes/dream worlds inside of it (making it have a 5-D axis by default) while also being infinite and of different dimensionality from the Prime Universe (meaning either superior or inferior in dimensionality, since it is also said to be "super" dimensional, it must be superior)??? 🤔🤔🤔
 
Disagree.

First of all, Eggman specifically notes that his maze is “warping spatial laws and the laws of physics to construct an infinitely tessellated space”, which I think debunks the idea the space is referring to 3 spatial and 1 temporal dimension, as no mention of temporality is ever made. Temporality wouldn’t really make sense either, since at that point the tesseract shape would have just been a cube instead.

I don’t see why it isn’t a tesseract, it literally has the design of a tesseract. As for Sonic being able to interact with it normally, it’s because he’s charged with chaos energy, and chaos energy is the source of vitality for all living things, which would include Illumina, a being who created the 4th dimension space, another construct of higher dimensional nature; so a UES exists to allow Sonic to interact with these higher dimensional constructs.

Otherworld from Sonic Channel also is very blatantly called as “infinite super-other dimensional space”, meaning that it is super-dimensional. It’s pretty clear that superdimensional is referring to a tier jump, because the main time that term was used otherwise was Solaris, a character blatantly described as extra/super-dimensional, having physiology pointing to it being higher dimensional, and being large enough to absorb multiple dimensions into its being.

Finally, fourth dimension space. Even without the magazine, it is literally called “4th dimension space”, aka the space itself being 4-D and not the overall time continuum, and in that space every single dream world, no matter if they’re infinite size or macrocosms or infinite super-dimensional space, appear as infinitesimal and akin to “projections on a screen”, flat in comparison to Illumina’s dream, meaning that even infinite space or 4-D macrocosms like cyberspace (read the blog to see why cyberspace is considered a dream in 4-D space) is considered a dream within a dream, and there are still levels beyond that like the bulk space of white space, which is also infinite by proxy.

Even if Cyberspace and Otherworld are debunked I maintain Maginaryworld is 5-D.
 
Fourth Dimensional Space would already necessitate being of significant size because of the endless/infinite nature of the multiverse, as FDS gsthers dreams from throughout all the multiverse.

An endless/infinite multiverse would necessitate an axis which is significant.
By this standard, every 2-A multiverse would have to be Low 1-C as well. The point of the axis having to be "non-insignificant" is that the 5th axis specifically also has to be non-insignificant. If a 5D space is endless/infinite, that doesn't mean that its extra dimensional axes are endless/infinite as well.
That's not how it works. The entire dream world itself would have to be a flat image in comparison to FDS for us to conclude that FDS is superior to it. On the contrary, what the scene implies is that it is projecting a display of the dream worlds. Kind of like if you were to open portals into a bunch of different worlds and see into them rather than containing the entirety of them as flat images. That's far different and obviously doesn't imply any sort of superiority.
bro what

They are clearly trying to emphasize how big the map is so why would it be 3+1D???

straight up buns argument
Because it's projecting information across countless different worlds which, as pointed out in the blog, have separate time flows at different points in time? Even though these worlds are at vastly different points in time, it's able to reach across all those points in time and project information from them.

And like I mentioned in the OP, "fourth dimension" is just a name. Writers call things "fourth dimension" all the time even when not talking about literal spatial dimensions. We don't even know if it's talking about actual dimensions (spatial or temporal) at all. It's already been accepted here that "次元" need not refer to geometrical dimensions.
 
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First of all, Eggman specifically notes that his maze is “warping spatial laws and the laws of physics to construct an infinitely tessellated space”, which I think debunks the idea the space is referring to 3 spatial and 1 temporal dimension, as no mention of temporality is ever made. Temporality wouldn’t really make sense either, since at that point the tesseract shape would have just been a cube instead.
Time has nothing to do with any of my arguments regarding Eggman's maze, you're not even tracking.
 
That's not how it works. The entire dream world itself would have to be a flat image in comparison to FDS for us to conclude that FDS is superior to it. On the contrary, what the scene implies is that it is projecting a display of the dream worlds. Kind of like if you were to open portals into a bunch of different worlds and see into them rather than containing the entirety of them as flat images. That's far different and obviously doesn't imply any sort of superiority.
Except both cutscenes describe these as the actual worlds themselves, rather than portals to them. The entire realm is also just flat out a dream to Illumina, who Solaris is significantly above due to being referred to as a higher dimensional being, when Illumina is not.
 
By this standard, every 2-A multiverse would have to be Low 1-C as well.
Funny part is that it is on this wiki. It just as an "insignificant 5-D axis" that can't be tiered standardly. There have been several threads regarding this.
The point of the axis having to be "non-insignificant" is that the 5th axis specifically also has to be non-insignificant. If a 5D space is endless/infinite, that doesn't mean that its extra dimensional axes are endless/infinite as well.
Except this isn't a be-all-end-all because it entirely depends on what said 5-D space is containing.
That's not how it works. The entire dream world itself would have to be a flat image in comparison to FDS for us to conclude that FDS is superior to it. On the contrary, what the scene implies is that it is projecting a display of the dream worlds. Kind of like if you were to open portals into a bunch of different worlds and see into them rather than containing the entirety of them as flat images. That's far different and obviously doesn't imply any sort of superiority.
The entire dream being flat if you entered it would actually tear apart the argument, not strengthen it.

Also you're wrong because it's specifically stated they're actual worlds and not portals to them.

The dream worlds are already IN Fourth Dimensional Space, and those are the images that are flat. Universal structures are being splayed out as flat along FDS, meaning FDS has an axis that's significant enough to easily hold dream worlds like they're infinitesimal.
 
Why are we using a magazine from all things for an evidence, I'm not denying any dimensionality here btw, I'm just wondering.
Admittedly could be argued against, but I explained in my blog SoftBank (who wrote the magazine) contains exclusive interviews with SEGA R&D staff, the company was engaged in a partnership for game distribution with SEGA, and SEGA officially commissioned them for other magazines, so they did have a working relationship at the time. I consider it more supporting evidence though, the space would be inherently infinite already via lore and it was already referred to as four-dimensional space in game.
 
I don’t see why it isn’t a tesseract, it literally has the design of a tesseract. As for Sonic being able to interact with it normally, it’s because he’s charged with chaos energy, and chaos energy is the source of vitality for all living things, which would include Illumina, a being who created the 4th dimension space, another construct of higher dimensional nature; so a UES exists to allow Sonic to interact with these higher dimensional constructs.
I imagine you're referring to this?

 
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