Beyond-Dimensional Existence
This refers to characters who are superior to the concept of dimensions. Their superiority can range from transcending the dimensions within their own universe to surpassing the dimensional limits of classical physics and quantum mechanics, including Euclidean vector spaces and Hilbert spaces. At the highest level, these characters exist in a qualitatively superior state compared to any dimension that can be mapped to any infinity.
Types
Type 1 (Conventional Dimensional Superiority): Characters who exist beyond the dimensions of their own reality, typically granting them a tier above the entire cosmology, particularly concerning "material" aspects of that cosmology.
Type 2 (Beyond Scientific Dimensions): Characters that surpass all scientific dimensions, including Euclidean vector spaces, which can extend to RR (uncountably infinite) or Hilbert space. This tier is reserved for characters proven to be 1-A.
Type 3 (Qualitative Superiority): Characters who transcend all forms of dimensions. Since spatial dimensions can theoretically map to any infinity, including large cardinals, characters of this level are usually classified as High 1-A and are reserved for this type.