Hyperdimensions

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 $$\H$$. This number is typically used only for expressing larger sets than hyperdimensions (i.e. $$\H^2$$, $$2^{\H}$$), 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&lt;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.