How to Realize Recursively Self-Improving Agents and Personal Singularity: A Goal-, Scope-, Tool-, and Benchmark-Driven Multi-Agent Architecture

arXiv:2607.12254v1 Announce Type: new Abstract: Large language model (LLM) agents can increasingly plan, use tools, maintain memory, and execute long-horizon tasks. These advances motivate two linked questions: how can an agent improve the mechanisms by which it learns and acts, and how can that improvement increase the durable capabilities of its user rather than only the software itself? This paper proposes a governed multi-agent architecture for recursively self-improving agents and introduces personal singularity as a bounded human-AI co-development objective: helping a user approach an expanding, user-defined capability frontier across selected domains. Each agent is defined by a goal contract, bounded scope, validated tool registry, tool-level tests, end-to-end benchmarks, an owner-controlled autonomy policy, a routing policy, memory, and an improvement policy. Out-of-scope tasks are transferred to another accountable agent or to a newly created niche agent. A user-facing Auto-Index selects interactive, hybrid, autonomous, or scheduled operation without overriding external permissions. The architecture combines a fast planner-executor-verifier loop, a slower evidence-gated improvement loop, an external governance plane, decentralized agent lineages, an owner-directed agent foundry, and a Personal Singularity OS coordinating working, computational-imaging, process-learning, and personal-learning agents. We formalize scope, routing, improvement acceptance, bounded goal evolution, tool-first execution, and human capability transfer, and provide safety invariants, benchmark design, and an implementation roadmap. This is a position and systems-design paper, not evidence that unrestricted recursive self-improvement or personal singularity has already been achieved.