We propose a framework for the fair democratic governance of federated digital communities that form and evolve dynamically, where small groups self-govern and larger groups are represented by assemblies selected via sortition. Prior work addressed static fairness conditions; here, we formalize a dynamic setting where federations evolve over time through communities forming, joining, and splitting, in all directions -- bottom-up, top-down, and middle-out -- and adapt the fairness guarantees. The main technical challenge is reconciling integral seat allocations with dynamic, overlapping federations, so that child communities always meet their persistent floors while long-run averages converge to proportional fairness. Overcoming these challenges, we introduce a protocol that ensures fair participation and representation both persistently (at all times) and eventually (in the limit after stabilization), extending the static fairness properties to handle structural changes. Prior work shows how grassroots federations can be specified via atomic transactions among assembly members, Constitutional Consensus can realize these transactions and the democratic processes leading to them, and Constitutional Governance in Metric Spaces lets a community govern itself and amend its own constitution. Together, these works form a comprehensive design for an egalitarian, fairly governed, large-scale decentralized sovereign digital community platform.

翻译：我们提出一个框架，用于实现动态形成与演化的联邦数字社区的公平民主治理，其中小群体实行自治，较大群体则通过抽签选出的代表大会进行代表。先前的工作处理了静态公平条件；本文形式化了一个动态环境：联邦随时间演化，社区通过自下而上、自上而下及中层扩展等所有方向进行组建、加入和分裂，并相应调整了公平保障机制。主要技术挑战在于协调整数席位分配与动态重叠的联邦结构，使得子社区始终满足其持续性下限，同时长期平均值收敛于比例公平。克服这些挑战后，我们引入了一种协议，既能持续保证（始终）公平参与和代表权，又能最终保证（稳定后的极限状态）公平，将静态公平属性扩展以处理结构性变化。先前的研究表明，草根联邦可以通过议会成员间的原子事务进行规范，宪政共识能够实现这些事务及其导向的民主进程，而度量空间中的宪政治理则允许社区自治并修订自身宪法。这些工作共同构成了一个全面设计，用于构建平等主义、公平治理的大规模去中心化主权数字社区平台。