This work presents the Convergence Lattice. A recursive, multi-scale structure emerging from the interaction of proliferating autonomous agents, programmable value flows, self-serve abstraction layers, distributed edge hardware, and the topological constraints of semi-multiplanetary coordination. What begins as fragmented systems (overlapping but poorly coordinated computational, financial, and physical substrates) gradually organizes through increasing density, self-similar patterns across scales, and compression of coordination overhead. At certain density thresholds, the lattice exhibits phase-like behavioral shifts where coordination cost no longer grows linearly with system size; under the right topology it can even compress or invert. The framework integrates insights from multi-agent systems, network theory, distributed computing, programmable finance, and energy/latency-constrained environments. Particular attention is given to edge co-design, vertical compute stacks, energy reuse, and the structural requirement for autonomy beyond low-latency terrestrial settings. Open conjectures include the Lattice Convergence Hypothesis, Coordination Inversion Thresholds, Energy Reuse Scaling Behavior, and Autonomy Thresholds for off-world systems, formalized directionally through successive refinements of the Entropy Rate Margin (ERM). Rather than a finished theory, this document offers a provisional synthesis and lens for interpreting ongoing convergence trends.
Martin B. Joseph (Mon,) studied this question.