Persistence ($\mathrm{\Pi }$)

• Definition: The measure of a distinction's structural stability across recursive updates. It is the effective resistance to entropy.

• Formalism: $\mathrm{\Pi }(\mathcal{D})⟺R({\mathcal{D}}_t)\approx {\mathcal{D}}_{t+1}$. Persistence is achieved when the output of recursion is structurally isomorphic to the input.

• Contextual Anchor: Heinz von Foerster’s Eigenvalues (Objects as tokens for eigenbehaviors); Identity Theory (Continuity of pattern vs. substance).

• Persistence is the "survival rate" of a distinction.
• In a system of constant recursion, nothing is static; things only appear solid because they actively rebuild themselves in the same shape every moment.
• It is the result of Gravity: when a distinction falls into a stable loop (eigenbehavior), it resists dissolution and becomes an "object" rather than an "event."

• Defines Reality: Distinguishes "Noise" (fleeting, unstable cuts) from "Signal" (stable, enduring matter).
• Explains Identity: Clarifies that "You" are a persistent pattern of information, not the specific biological atoms currently hosting that pattern.
• Predicts Decay: Implies that persistence requires energy; without active recursive maintenance,  drops to 0 and the object dissolves.

• Broader topic: Recursive Distinction Dynamics
• Related atoms: RDD – Gravity (Definition), RDD – Entropy (Definition), RDD – Existence (Definition)
• Upstream source note: