mnMN

mnMN is a term used in theoretical discussions as a fictional or hypothetical construct intended to study properties of modular networks and symmetry. In this context, mnMN is not tied to a single established definition; instead, it denotes a class of abstract networks designed to illustrate how local rules can generate global structure. Conceptually, a mnMN consists of an ordered sequence of layers, called mn-frames, each containing a finite set of nodes and a prescribed pattern of connections. A defining feature is the minimality condition: connections between successive frames are added only as needed to guarantee reachability under a given traversal, yielding a parsimonious, self-similar architecture. The framework often emphasizes invariants such as depth—the number of frames required to connect all nodes—and width—the maximum size of a frame.

Origins and usage: The term mnMN arose in informal mathematical writing and in speculative fiction as a concise placeholder for experiments with recursive networks. Because mnMN is not standardized, different authors may use slightly different expansions of the acronym or emphasize different construction rules. This flexibility makes mnMN a useful teaching and world-building device, while also requiring readers to consider context when interpreting its meaning.

Applications and reception: As a teaching tool, mnMN helps illustrate ideas about recursion, modularity, and minimal connective conditions. In fiction and world-building, mnMN can serve as a fictional technology or organizational principle for networks and information flow. The concept remains informal and is primarily used to explore theoretical contrasts between local rules and emergent global structure.