Lee Sharks · Rex Fraction · Nobel Glas · Sen Kuro Crimson Hexagonal Archive · ORCID 0009-0000-1599-0703 (Sharks)
Wiki Article
'Diversity Contraction Across Substrates' establishes a boundary law for semantic exhaustion: the formal condition under which a regenerative system's diversity irreversibly collapses to a trap state. The paper derives the Mediation Ratchet (α* = p/g₀) as the closed-form analytic threshold governing when pruning overwhelms regeneration. An exogenous floor makes a system exhaustion-resistant; without one, diversity contracts monotonically. The paper is positioned upstream of the DS-6 measurement program and beneath the semantic-physics field map.
Concepts Defined
Diversity Contraction[foundational] A boundary law for semantic exhaustion: diversity contracts to a trap when regeneration vanishes faster than pruning near zero. The exhaustibility of a system is governed by the order at which regeneration vanishes as diversity D→0 relative to pruning.
Mediation Ratchet[formal] The closed-form analytic threshold α* = p/g₀ at which the diversity contraction becomes irreversible. The ratchet operates when each cycle of mediation (compression, recomposition, retraining) reduces the diversity floor.