Archreality

An Archreality is an extension of Reality constructed with iterated power sets of a variable elementary logical unit (i.e., Blueprint Particle, external Archrealities). 
== Archreality-centric logic ==
ACL (Archreality-centric logic) implements R notation (R_{a}^{b}) and (r_{a}(0)), and the unit R. Axioms and definitions are definable in ACL:
Property 	Definition
Recursive 	R_{a}^{b} = R_{R_{a}^{b-1}}^{1} = r_{a}(\omega \times b) for b > 1
Unitary 	R = B where B is the Blueprint Particle
Reduction 	R_{a}^{1} = r_{a}(\omega )
Identity of Depth 	R_{a}^{0} = a
Identity of Iteration	r_{a}(0) = a
Basic 	r_{a}(c) = r_{a}(c-1) \cup P(r_{a}(c-1)) (where P(x) is the powerset of x)
===Elementary unit===
The elementary unit of an Archreality is a unit that serves as the basis for the reality's components. 
The most basic elementary objects would be comprised of a unique combination of an elementary unit's sub-elements. For example, the lowest level object in Unireality is an arrangement of the properties of a Blueprint Particle, or in other words, a simple list of boolean properties.
By this definition, an Archreality is bound to a power set of an arbitrary component.
== Properties ==
Archrealities with no superior reality will join together at a speed proportional to the corresponding diameter. This event occurs to counter the propagation of gaps which contain undefined information.
A system of elementary units in an Archreality progressively return to their original state, comparable to the laws of entropy in the Universe. The magnitude of speed recovery is variable relative to recursive layers, with greater levels of recursion having a higher magnitude, and a inferior depth of iteration resulting in a lower multiplier.
==Terminology==
Archrealities with no content other than Blueprint Particles are a Inane. Archrealities with an elementary unit that isn't an external Archreality are a prime Archreality.
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