The Cohesion Series and IVP — Five Papers Published

The cohesion paper series is now published in full — five papers that build a chain from the concept of cohesion to the Independent Variation Principle (IVP).

The chain:

1. On the Nature of Cohesion — defines cohesion as a $2k$-tuple: for $k$ partitioning rules, $k$ (purity, completeness) pairs. Proves the knowledge-embodiment theorem: maximal cohesion under a rule coincides with exact knowledge embodiment under that rule. Shows that every published algorithmic cohesion metric measures a structural proxy (method-call overlap, shared-field density), not cohesion as defined by a principle.




2. Four Necessary Conditions for Optimal Modularization — from the schema plus the objective of minimizing change propagation, proves four conditions — Admissibility, Element Form, Separation, Unification — are necessary and jointly exhaustive, uniquely pinning the $\Gamma$-equality partition $E / \tilde{\Gamma}$.




3. The Independent Variation Principle — synthesizes the chain into a single structural principle and examines the premises (change drivers, functional model, change isolation), preconditions (driver independence, decisional autonomy), and scope boundary. (June 2026).

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