Computational-Settlement Cascade Attractors: The Composed Stack as Residue and the Operational De-Concentration Spectrum

Abstract

The structural supranational criterion has been applied to public attractors with a legal form, to a monetary attractor with none, and to private platform attractors. This paper carries it to a third attractor type, the computational-settlement platform on a pure-protocol substrate, the larger smart-contract platforms and the rollups that settle to them. The supranational criterion holds that an entity is a cascade attractor when its binding residue density spans participants so that no single participant’s reversal dissolves the network, with density a multiplicative product of depth, extent, and interconnection in which a necessary component at near-zero nullifies the whole. The decisive choice is the location of the residue. The residue is the composed stack, the deployed contracts, the value locked in them, the standards, and the settlement finality that applications and rollups depend on. It is not the token, which is the internal unit and the instrument that secures and meters the chain. Depth is switching-cost lock-in of composed state. Extent is the deployed value and the user base. Interconnection is composability, the dependence of applications on applications and of settlement layers on a base layer, the settlement interconnection of the Euro re-realised in contract code. The reversal test is the consensus halt, which suspends but does not relocate the residue, because the composed stack persists across it and resumes on restart. The de-concentration that governs whether a platform halts is operational, the diversity of the implementation, the clients and the sequencers, and it is not the distribution of stake, a measure on which the halting platform scores as well as the resilient one. The Ethereum finality incident of May 2023, set against the halt records of Solana and Avalanche, is the existence proof. The same class of client defect stalled Ethereum without halting it, because the independent clients that did not share the defect carried the chain, and halted the two platforms that ran a single client. The argument is set alongside the blockchain trilemma, which states the scalability-decentralisation tradeoff the spectrum populates, and it contributes what the trilemma does not, the location of the residue and the survival of the attractor when it halts.