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Boundary-Constrained Persistence — Paper 4 the latest in the ongoing series on regime boundaries and structural limits in Relational Field Theory

How much complexity can a stable system sustain before it must reorganize?

The latest paper in my Boundary Science series explores a structural hypothesis: the persistence capacity of a regime may be fundamentally constrained by the structure of its boundary.

While previous papers explored regime definitions, persistence measures, and sensitivity amplification, this note introduces a higher-order structural principle: the persistence capacity of a regime is not determined solely internally, but is fundamentally constrained by the structure of its boundary.

In short: Boundaries don't just separate regimes — they set the upper limit on how much stable structure a regime can sustain.

This Boundary Persistence Principle offers a unifying layer that connects regime definition, boundary behavior, and the practical limits of organization. It is presented as a general constraint rather than a specific physical derivation, inviting further exploration and testing.

Paper (internal draft): Boundary-Constrained Persistence: A Structural Principle for Regime Capacity in Relational Field Theory https://doi.org/10.17605/OSF.IO/WNSTQ

Series Progress

1. Mathematical Conditions for Regime Failure in Relational Field Theory
2. Phase Transitions as Regime Boundaries
3. Turbulence as Regime Breakdown
4. Boundary-Constrained Persistence ← current paper
5. The Planck Regime as a Boundary Intersection (planned)
6. Relational Field Theory: Structural Program Overview (in progress)

Comments and constructive feedback are always welcome — especially thoughts on how this principle might apply (or need refinement) in specific physical domains.

#RelationalFieldTheory #BoundaryScience #ComplexSystems #Physics #StructuralPrinciples

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