What question did this study set out to answer?

To develop a framework that resolves optimization conflicts in blockchain technology concerning security, decentralization, scalability, and sustainability.

January 20, 2026Open Access

On the Convergence of Algorithmic Issuance and Network Sustainability: A Unified Monetary-Supply Framework

Key Points

To develop a framework that resolves optimization conflicts in blockchain technology concerning security, decentralization, scalability, and sustainability.
Introduced a Unified Monetary-Supply Framework integrating customized halving mechanisms and asset attrition models.
Derivation of a closed-form solution for supply dynamics in blockchain networks.
Quantitative modeling to explore asymptotic convergence of effective circulating supply.
Demonstrated stability of effective circulating supply below 21 million RIN, converging specifically to 20.88 million RIN.
Secured deflationary emission schedule aligned with Bitcoin's scarcity model over a forecasted 443–703 years.

Abstract

AbstractContemporary blockchain architectures face a critical impasse defined herein as the "Tetra-Lemma"—a four-dimensional optimization problem comprising decentralization, security, scalability, and thermodynamic sustainability. Proof-of-Work networks confront diminishing security budgets, while Proof-of-Stake systems risk validator centralization. This paper presents a Unified Monetary-Supply Framework designed to resolve these structural conflicts. By deriving a closed-form solution for supply dynamics that integrates a deterministic "Customized Halving Mechanism" with probabilistic asset attrition models, we demonstrate a mathematical convergence that maintains thermodynamic security over a secular horizon. Key Quantitative Findings: Asymptotic Convergence: While effective circulating supply may experience a temporary peak (approx. 27 million RIN), all evaluated models are engineered to stabilize below the 21 million threshold (specifically converging to 20.88 million RIN). Secular Stability: The framework secures a deflationary emission schedule mirroring Bitcoin’s scarcity model over a multi-century horizon of 443–703 years. Publication Status & RoadmapThis manuscript (v1.5.0) is maintained as a Living Research Document. It serves as the foundational theoretical framework for the Rincoin protocol. Future iterations will formalize the consensus mechanisms required to govern these algorithmic parameters. Integrity & Provenance ArchitectureThe scientific integrity and existence of this document are secured by a Triple-Verification Layer: 1. Academic Provenance: Indexed via Zenodo (DOI: 10.5281/zenodo.17141922). 2. Thermodynamic Timestamping: Anchored to the Bitcoin blockchain via OpenTimestamps. 3. Identity Assurance: Digitally signed by the author via a third-party certification authority (GMO Sign). Note: Verification data and the "Certificate of Authenticity" are available in the supplementary files. CorrespondencePrimary Author: Michiru Tokino (also known as Aevust in the decentralized infrastructure community). Academic Inquiries: edu@aevust.org Community Governance: @aevustus (Discord) / @aevust (X/Telegram)

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