Asymptotic Stigmergic Lattice Consensus (ASLC): Post-Quantum Isentropic Economic Coordination

Abstract

This research introduces a radical paradigm shift in decentralized economic consensus and distributed ledger technology, moving beyond the thermodynamic inefficiencies of Proof-of-Work (PoW) and the quantum vulnerabilities of conventional Elliptic Curve Cryptography (ECDSA). By integrating Hyperdimensional Computing (HDC) within a 10,000-dimensional bipolar vector space and Module Learning with Errors (MLWE) via the ML-DSA (FIPS 204) post-quantum signature standard, this paper proposes the Asymptotic Stigmergic Lattice Consensus (ASLC) architecture. Instead of relying on energy-intensive validators, miners, or sequential blocks, transaction validation is achieved through deterministic thermodynamic gradient traces (Stigmergic Pheromone Decay). Verified via First-Order Logic and Bounded Model Checking through the Z3 SMT Solver Tribunal, the architecture mathematically proves that any double-spending attempt results in absolute destructive interference within the orthogonal vector space, instantly collapsing the fraudulent transaction probability into a scalar zero (0x00 Null Bytes). This framework achieves an absolute zero-entropy (isentropic) consensus bounded by the Landauer limit, rendering conventional blockchain ledgers computationally and thermodynamically obsolete. Keywords: Distributed Ledger Technology, Post-Quantum Cryptography, ML-DSA, Hyperdimensional Computing, Isentropic Consensus, Pheromone Decay, Double-Spending, Z3 SMT Solver, Bounded Model Checking, Zero-Miner Consensus