Guarded Energy Descent in the Full-Active C3-P0 Benchmark

This paper reports a controlled continuation in the full-active C3-P0 multi-domain benchmark of the General Coherence Field Theory E2+E4 functional. A hundred-stage geometry/algebra audit localized the difficult coupled structure across local-high angular modes, radial support, cubed-shell edges, and global-low couplings before qualifying an exact packed continuation route. Across fourteen production proposals, three independently persisted states were accepted. Energy decreased from 1.417291613382886 to 1.4172841248362724 while mortar, manifold, topology, interface, and repaired-S7 tail guards passed. The accepted Q_H span is 3.762656852757118e-12. This is an executed numerical result, not a stationary-solution claim: final scaled RMS is 5.623111080183452e-04, scaled Linf is 4.958882479091357e-02, and K-dual relative residual is 0.9918100403564855. P1/P2 convergence, resolution independence, canonical Route-C promotion, particle interpretation, and full-GCFT closure are explicitly withheld.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-08-20
DOI
https://doi.org/10.5281/zenodo.22033231
Primary Topic
Particle Accelerators and Free-Electron Lasers
Type
preprint
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preprint

Guarded Energy Descent in the Full-Active C3-P0 Benchmark

Nicky Joseph Hubertus Catharina Hacquier
Zenodo (CERN European Organization for Nuclear Research)
Particle Accelerators and Free-Electron Lasers
preprint

Guarded Energy Descent in the Full-Active C3-P0 Benchmark

Nicky Joseph Hubertus Catharina Hacquier
preprint en

Abstract

This paper reports a controlled continuation in the full-active C3-P0 multi-domain benchmark of the General Coherence Field Theory E2+E4 functional. A hundred-stage geometry/algebra audit localized the difficult coupled structure across local-high angular modes, radial support, cubed-shell edges, and global-low couplings before qualifying an exact packed continuation route. Across fourteen production proposals, three independently persisted states were accepted. Energy decreased from 1.417291613382886 to 1.4172841248362724 while mortar, manifold, topology, interface, and repaired-S7 tail guards passed. The accepted Q_H span is 3.762656852757118e-12. This is an executed numerical result, not a stationary-solution claim: final scaled RMS is 5.623111080183452e-04, scaled Linf is 4.958882479091357e-02, and K-dual relative residual is 0.9918100403564855. P1/P2 convergence, resolution independence, canonical Route-C promotion, particle interpretation, and full-GCFT closure are explicitly withheld.

Zenodo (CERN European Organization for Nuclear Research)
Affordable and clean energy
Particle Accelerators and Free-Electron Lasers
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