Hyperdimensions are sets of dimensions beyond the traditional "spatial and temporal" dimensions. Each set is almost unbound, with the only boundary being the definition of a hyperdimension.

The cardinality of dimensions within a hyperdimension is expressed as . This number is typically used only for expressing larger sets than hyperdimensions (i.e. , ), with rare use otherwise.

Definition

H(i) is the notation for hyperdimensionality, it takes integers/ordinals as input.

The definition is below:

• H(0) = Spatial dimensions
• H(i) =
• An independent set of dimensions (mostly) controlling the behavior of the space of all dimensions of all H(j) for 0≤j<i and j being an integer
• Uses data from those dimensions as an input along with a translation vector in H(i), for a law function which evaluates the result of passing through H(i)'s dimensions
• The cardinality of negative hyperdimensions will be excluded from an object's dimensionality, since objects normally contain many negative hyperdimensions and therefore it would be useless to include them. This means that H(<0) hyperdimensional dimensions can be subtracted from an object to give it a negative dimensionality.

Examples

Hyperdimension Relevant container's attributes
H(-2) Abstract dimensions, a strange blend of mathematics and objects. Particles embodying mathematical concepts, are a common sight here.
H(-1) Hypospatial dimensions, contains negative-dimensional objects and the basics of properties. Goes all the way down to the bottom of Class -1 in The Pre-Hierarchy.
H(0) Spatial dimensions, by definition.
H(1) Space and Temporal dimensions/order-0 law dimensions, since it defines what causes space to change. Also includes iterations of "time of time" and "timelines".
H(2) H(2) contains various distorted versions of realties and reality-less voids. Also the set of order-1 law dimensions, which are independent from Verse laws due to being very static over time and space.
H(3) H(3) contains a deformed version of logic that doesn't appear to work anymore, priority over logic is needed to enter without getting converted into a jumbled soup. Omnionions use dimensions from this hyperdimension, towards their larger layers. Also the set of order-2 law dimensions.
H(4) Even logic priority breaks down at H(4), leading a lot of this hyperdimension unknown. However, creating artificial logic here is still an option. Also the set of order-3 law dimensions.
H(5) This hyperdimension is chaotic to the point that even artificial logic doesn't work for exploration. Similarly to H(4), a lot of this hyperdimension is unknown. Also the set of order-4 law dimensions.
H(6) Currently, very little is known about this (the set of order-5 law dimensions), but it is probably more chaotic than H(5) due to this. The only way we know of this, is via H(ω).
H(161) At this estimate, hyperdimensions destablize to the point where the half life of any objects distant via this dimension is OYC. This means that basically nothing is present here, apart from negative hyperdimensions.
H(ω) H(ω) is the hyperlaw dimensions, the first hyperdimension that can push new hyperdimensions at H(0) due to the properties of ordinals. Due to the fact that the other hyperdimensions would probably collapse if H(ω) followed the pattern of the ones below it, H(ω) is actually somewhat stable and therefore is used as a nexus for the other hyperdimensions.