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ZENODO
Preprint . 2026
Data sources: ZENODO
ZENODO
Preprint . 2026
Data sources: Datacite
ZENODO
Preprint . 2026
Data sources: Datacite
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The Jacobi Trap

Authors: Allen, James Johan Sebastian;

The Jacobi Trap

Abstract

Pattern Field Theory (PFT) paper examining recursive closure, residual dynamics, and Hamiltonian Debt accumulation in cyclic transport systems. The work reinterprets the Jacobi identity as a recursive admissibility preservation constraint governing cyclic transport closure. Residual terms are reclassified as measurable indicators of:• recursive imbalance• transport asymmetry• hidden curvature• unresolved Hamiltonian Debt Core operators include:• Phase Alignment Lock (PAL)• Equilibrion (EQUI)• recursive closure mechanics• admissibility preservation Official source:https://patternfieldtheory.com/

Keywords

Recursive Transport, Recursive Admissibility, Transport Symmetry, Recursive Closure, Phase Alignment Lock, Synchronization, Cyclic Equilibrium, Cyclic Transport Systems, Hamiltonian Debt, Structural Residuals, Closure Constraints, Admissibility Preservation, Pattern Field Theory, Recursive Stability, Recursive Systems, Residual Dynamics, Basin Dynamics, Equilibrion, Jacobi Identity, Lie Algebras

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green