Reality

Overview
In Kthulhutuverse cosmology, realities are the quanta of existence and the highest ontological layer for non transcendentals.

Description
Realities are 'bubbles' of high Void potential energy, resulting in coherent Void interactions that create a concept-set. The concepts in this set then go on to shape unique derived interactions within the Void field that drive ontological phenomena such as dimensionality, space, time, mass, energy and the fields that govern their behaviour.

The specifics of each reality differ depending on the parameters of the particular Void interactions that created it. It is generally agreed that realities with concept equivelants to Space and Time will have a minimum of 12 well defined dimensions of space and time and a measurable distance in a given axis of at least log10(log10(log10(1x1010))) metre equivelants. Ontologically distant realities may have non compatible 'altphysic' analogs of these concepts that aren't definable with 21st century understanding of mathematics and physics.

Realities also possess arbitrary quantities of poorly defined "higher-dimensions" leading to a theoretically infinite volume and casuality space, though interacting with higher-dimensions leads to undefined interactions and bleedthrough into the Void or meta-conceptually adjacent realities and their status as "being part of a given parent reality" is questionable at best.

Realities don't have an "edge" as they aren't containers in the literal sense. In a reality with appropriate comprehensible analogs of space and distance, attemping to reach an "edge" will just lead to one looping around.

One thing to note is that realities aren't guranteed to have a uniform field of interactions. Due to the underlying Void state tending to differ slightly throughout, one can find alternate sets of conceptually adjacent fields. These are often referred to as "segments" and are the usual explanation for alternate realms, planes and 'dimensions' existing in the same ontology.

For realities that have standard notions of time and time flow- it is important to note that perception of time, relative rate of time flow and directionality of said flow can differ between realities. For example, let's say an entity decides to travel between three meta-conceptually adjacent realities: a, b and c. He spends one perceived standard second in a, then travels to b and spends a perceived second in b's time. Then he travels to c and does the same. He travels back to b and notices that since his 1 second in c, several million years have passed in b. Then he travels back to a and notices that for his 2 seconds in b and 1 second in c that he is now several years in the past in a. Not only did he experience different perceived rates of time flow in each reality but also different directionality.

Categorization
Realities elude perfect generic categorization by their very nature. However a simplified system is shared by both the Pianists and Domain for realities in scope for them.

Define a number of root level concepts for your given comparison set.

Decompose each root level concept into a tree of all subconcepts and the resulting fields they produce.

Produce and apply a function to each tree that generates a real number with a magnitude determined by the elements of the tree.

You should now have a number between 0 and 1 for each root level concept of each reality you are comparing. This acts as a relative measure of "meta-conceptual" distance and be used to categorize realities in scope for interaction and map them in a vector space. Realities that fall out of the 0,1 range are too distant. Realities that have more root concepts are even more distant.