Hello again. After the first thread which dealt with introducing the idea of what's Qualitative Superiority and making up new tiers for Omni TL, I'll be making its sequel, given it was necessary to introduce some other stuff.
Re-do of Higher Dimensional Existence
Current page
New page
The current page is outdated beyond belief, as it still has the good ol' pre-2020 misconception that higher-dimensions always act as higher planes of existence that perceive the lower ones as fictional stories, when at the same time we mention multiple times in the FAQ that it's not like that, but that higher dimensions instead work as merely extra axes of space where energy and mass can expand to.
The new page does this:
Has generally a more accurate explanation of how Higher-Dimensions work.
Removed Types. Making a "Type 2" for Meta-Dimensional beings is entirely non-sensical, as the point of that tier is to be entirely above dimensions as a whole, it's basically trying to associate a supernova with a tiny lighter because they're both burning to us humans.
Obviously, the question that arises now would be: "what happens to Type 2?"
The following section will tackle into this.
Introducing "Non Dimensional Existence"
The page
This is for beings that are beyond spatio-temporal features entirely, reasons ranging from simply lacking them, to straight up being superior to said concepts.
This is something that almost every Meta-Dimensional character gets by default, given that their very nature is being beyond the notion of spatio-temporal dimensions and whatever extension they may have, but obviously it's not the only way to get this.
This ability also can be achieved by simply lacking space-time features as said above, while still having statistics that are still comparable to dimensioned beings. An example is Lavos from Chrono, who exists as a being of the Darkness Beyond Time, a place that is entirely devoid of every concept that makes up existence, including space and time, and where deleted timelines go to rot, but he's clearly not beyond every possible extension of space-time in raw power.
Everything else is in the sandbox that I linked above. Characters who'd qualify for this ability will have an "Inapplicable" in their Dimensionality section, given the inability to apply this concept to their being.
This also means that the "Devoid" that is usually given to Meta-Dimensional beings will also be changed to Inapplicable, as the word in itself is indeed vague: 0-Dimensional beings are also technically devoid of dimensions, but they're still part of the space-time continuum and are indeed defined by our physics, while Non-Dimensional stuff lack this entirely.
Changing the Omega Threat Levels in order to match Real-World theories
Right now, we have this as the peak of the Omega TLs:
High Hyper Dimensional+ - This tier includes characters able to significantly alter, create or destroy a space which dwarfs 4D constructs by infinite degrees of infinity, which is usually potrayed as a hierarchy made of endless planes of existence, each transcending the previous one to the point is it insignificant in comparison.
While the "baseline" of this tier is Countable Infinite-D (which in terms of cardinality is the equivalent of ℵ0 amount of higher dimensions), this tier extends to also Uncountable Infinite-D, thus including bigger cardinal numbers such as ℵ1, ℵ2 and so on, infinitely.
Note that to qualify for a higher degree of this tier simply being on the top of an infinite hierarchy of dimensions is not enough, as the character has to be completely beyond said hierarchy and not just being in a level within it.
The main problem I have with this is that Countable Infinite and Uncountable Infinite are part of the same tier, which I find to oversimplify stuff and even clashes with ways to treat cosmologies that use concepts like Modal Realism and Type IV Multiverses (which will be elaborated later on here), and makes such gap extremely trivial.
We have to understand that the point of the Tiering System at such high tiers is making it clear that the gap between a tier and the previous one is far greater than the previous gaps. In the FAQ we already make it clear that the gaps between Alephs is greater than any previous gap between finite dimensions, as each Aleph is greater than anything the previous one can give in size. Heck, we have even the Infinite Hotel Paradox, which explains pretty decently that a Countable Infinite set can introduce within itself without any issues even infinite groups of infinite elements each without a problem, as long as these groups are still Countable Infinite in size as well.
The problem comes however when an Uncountable Infinite group of things gets in the scene, as there it's no longer possible to contain, given that it'd contain elements that'd be outside even a "normal" infinity and cannot be hold in.
If you still did not understand what I mean, it's heavily suggested to see this video made from Veritasium. It's only 6 minutes long, and it explains in a very organic way why Uncountable Infinity just cannot mix with Countable Infinity.
Not to mention that typically speaking, characters scaling to Uncountable Infinite amount of dimensions are generally way less common than ones scaling to only a Countable amount, given that for the latter it's generally just infinite layers/hierarchy and that's it, while for the former instead is being beyond said hierarchy entirely, and not just being at the top of it, as that'd still mean that you're part of the hierarchy.
It's also inconsistent with how we treat the difference between High Universe and Universe+, as the former is just a Countable Infinite amount of Joules, and the latter an Uncountable Infinite amount, so why this this the same?
Based on the info above (and others below as I said), I do not think it's right to make Countable Infinity and Uncountable Infinity the same tier, so I suggest to do this:
Hyper Dimensional: 5D to 11D
Hyper Dimensional+: 12D to any higher yet finite amount of dimensions
High Hyper Dimensional: Countable Infinite Dimensions
High Hyper Dimensional+: Uncountable Infinite Dimensions and higher Alephs
Threat levels instead would become this (also because LOL at current Omega+ having both finite and infinite dimensions):
Omega-: Hyper Dimensional to Hyper Dimensional+
Omega: High Hyper Dimensional
Omega+: High Hyper Dimensional+
Fixing these with a bot on the profiles is extremely easy as well and only a matter of hours at most.
How to deal with Real-World Theories
As mentioned above, the suggestion that I am making for Omega Tiers is necessary to implement cosmologies that use things like Type IV Tegmark Multiverse, or Modal Realities.
To dummify it, I'll explain in simple words what those are:
Type IV Multiverse is in short a place where all mathematics exists due to reality being mathematics itself, thus every universe that is possible due to it existing within mathematics does indeed exist.
Modal Realism is the theory where all the possible worlds physically exist outside of each other, in order to fulfill said possibilities, including also higher-dimensional worlds.
The absolute minimal tier for these would be the new High Hyper Dimensional+, as according to the real coordinate space, dimensions operate under real numbers, meaning that at absolute least, there must be an amount of higher dimensions equal to the real numbers, as these do exist in nature (example being pi in our spheres), hence uncountable infinity.
This also fits with how Type IV multiverse is superior to Types II and III, with the former having infinite different universes with different physics and dimensionality, and the latter having even the Infinite-Dimensional Hilbert Space.
(Obviously if the verse mentions even bigger infinities and cardinal numbers, then these things would upscale, but these work as a baseline if no further context is given).
If people are ok with the concept, I'll also start to write in sandboxes stuff to add to the FAQ regarding this, as we do the same with Platonism after all.
Part 3 will also on how we tackle other things like Reality-Fiction Transcendence and multiple wordings on the FAQ.
TLDR:
Higher Dimensional Existence becomes a decent page, and no more types.
Non Dimensional Existence will be a thing.
Omega Tiers will change to go more in line with real world theories and maths.