1. Topology
Formal study of the structures required for BRDS regimes, including admissibility, coupling architecture, and minimal role-structured configurations.
Independent Research Institute
Research in trajectory-based systems, structural coupling, and observer-dependent differentiation.
The Institute for Metastable Dynamics is an independent research institute devoted to the formal study of how structured regimes persist, differentiate, and transform under coupling. Its work spans mathematical foundations, role-structured interaction, observer-dependent differentiation, and applications in law, culture, and intersubjective systems.
Working Papers
Working paper
Working paper
A measure-theoretic taxonomy of Bounding, Resolving, Diverging, and Sustaining under a fixed observational regime.
Working paper
Working paper
A bipartite formalization of subsystem-environment coupling and the limits of separable interaction.
In preparation
In preparation
A study of role-structured interaction and the minimal topological conditions under which a BRDS regime can be represented.
Rationale
The institute studies systems that persist without presuming final equilibrium. Their order is real, but conditional; their continuity is structured, but revisable. Metastable dynamics names this regime of persistence under tension.
Research Program
The institute maintains a coordinated research program across foundational theory, formal specification, and interpretive evaluation. The program is organized into numbered strands with precise methodological scope and a limited set of defined aims.
Formal study of the structures required for BRDS regimes, including admissibility, coupling architecture, and minimal role-structured configurations.
Study of persistence, metastability, collapse, transition, and synchronization failure in coupled regimes over time.
Formal mapping of historical and institutional datasets, with attention to structural interpretation, regime comparison, and predictive limits.
Study of how BRDS regimes compose, nest, or scale across levels, including observer-coupling, shared resolution, and the implications of intersubjectivity.
Formal extension into law, attention systems, institutional dynamics, and other domain-specific cases.
Case Studies
Early case studies focus on borderline, partial, and contrastive systems used to clarify the scope of BRDS.
Borderline adaptive regime
Partial or externally constrained regime
Non-example
Partial-role case
Coarse feedback regime
Fine-grained adaptive regime
Constraint without adaptation
Persistence without meaningful divergence
A fuller atlas of case studies and exclusions is in preparation.