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The aim is to establish a narrow framework for L1 causal-lattice defect systems, emphasizing finite propagation and residual effects.

June 3, 2026Open Access

Scaling Limits of an ℓ¹ Causal Lattice

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The aim is to establish a narrow framework for L1 causal-lattice defect systems, emphasizing finite propagation and residual effects.
Introduced a conservative structural framework for L1 lattice dynamics.
Examined local defects, admissible repairs, and finite propagation dynamics.
Emphasized lossy transitions from L1 defect data to smoother L2 continuum descriptions.
Demonstrated local L1 update rules can model finite propagation and residual bookkeeping.
Highlighted how microscopic defect information may be obscured by coarse-graining.
Clarified structural content while avoiding claims of validated physical theories.

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This public-cleanup release describes finite L1 lattice dynamics in defect systems, suggesting implications for modeling and representation.

Jeremy H. Carroll (2026) studied this question.

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This public-cleanup release describes finite L1 lattice dynamics in defect systems, suggesting implications for modeling and representation.