What question did this study set out to answer?

To formulate a finite structural theory analyzing information condensation, safe forgetting, and emergence across nested dynamical regimes.

August 14, 2026Open Access

Condensation Dynamics of Nested Regimes: Emergence, Safe Forgetting, and the Rate of Persistent Information

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To formulate a finite structural theory analyzing information condensation, safe forgetting, and emergence across nested dynamical regimes.
Defined structural condensation as the logarithmic reduction of distinguishable states under safe quotient operations.
Introduced an algebraic framework modeling condensation potentials as path potentials on quotient orders and congruence lattices.
Analyzed composition rules across serial stages, parallel channels, and shared carriers, integrating declared clock metrics.
Proved a no-free-acceleration theorem showing total serial condensation rate is a duration-weighted average bounded by the fastest stage, whereas parallel channels exhibit exact amplification.
Formulated an interaction defect to quantify path-dependent allocation discrepancies across congruence-lattice squares, identifying zero-defect conditions in congruence-uniform, permutable algebras.
Established that higher-level emergence from reduced lower-level states requires strictly weaker transported demand, with the released budget bounding the emerging level.

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Implication

Theoretical analysis reveals structural limits on information condensation across nested systems, proving total rates cannot exceed the fastest serial stage.

Cite This Study

Devin Bostick (2026) studied this question.

synapsesocial.com/papers/6a7ec79cb70b84ec8b9141b4 https://doi.org/10.5281/zenodo.21908249

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Implication

Theoretical analysis reveals structural limits on information condensation across nested systems, proving total rates cannot exceed the fastest serial stage.

Condensation Dynamics of Nested Regimes: Emergence, Safe Forgetting, and the Rate of Persistent Information

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Condensation Dynamics of Nested Regimes: Emergence, Safe Forgetting, and the Rate of Persistent Information

Key Points

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Implication

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