Constitutional Mathematics 101
The mathematical framework governing democratic AI infrastructure.
Six rings. One theorem.
Constitutional governance is not one rule. It is six rules that build on each other. Remove any one and the system can be captured. Together they produce something none of them produces alone: a network that gets harder to capture as it grows.
Ring 1 - Equal start. Everyone enters with the same vote. One person, one vote. Money cannot buy a bigger starting position.
Ring 2 - Equal votes. Money cannot buy extra votes once inside either. Economic weight and governance weight are separate.
Ring 3 - Separated planes. Token holdings and vote weight are mathematically independent. They cannot distort each other at all.
Ring 4 - The ceiling. No single actor can exceed one-third. This is in the database. If a write would push any actor above one-third, the database refuses the write. No court order. No committee. Schema.
Ring 5 - Fault tolerance. Even if up to one-third of participants are malicious, the honest two-thirds still reach correct consensus. Proved mathematically by Leslie Lamport in 1982.
The exit gate - Clean Severance. When you leave, what you earned inside is yours. The protocol cannot reach your future. A democracy where leaving is catastrophic is not a democracy - it is a guild. Failure is a boundary, not a trap.
When all five rings hold, one equation emerges: S = N × (1 − max(Pc)). Stability rises as the network grows. The math does not guarantee wisdom. It guarantees legitimacy.
Six mathematical constraints. Nine years of proof. Free download.
Democratic networks become MORE stable as they scale. As N grows under the one-third ceiling, S = N × (1 − max(Pc)) rises. The more people enrolled, the harder the network is to capture. Six years confirms it.
That rule has held for six years on this network. 126 people. 30+ countries. Zero times broken. 5 ballots ratified (FG.001-FG.005). Five-ballot average approval 77.43%. FG.006 in SR deliberation, not yet ratified.
$420,000 minimum to approach the ceiling without breaking it. That still does not buy a seat.
The connection was made in 2017. Chris McCoy read Lamport's 1982 proof and recognized Hamilton's threshold. STORE Research was founded that year. First Governance went live in Q2 2020.
All prior STORE agreements are SAFTs. This paper is pre-public peer review - pre-ratification research. Not an offer of securities. The math is open source - anyone can use it to build their own constitutional networks. The IP remains with STORE Research Inc. Available for download at no cost.