Nonlinear Fourier support generation and shear modulation in a retained magnetofluid
Year: 2026
Type: preprint
Abstract: This preprint distinguishes deformation of physical shearing wavevectors, redistribution among Fourier labels, response growth, and feedback from newly admitted labels in a retained, self-gravitating ideal magnetofluid. A homogeneous-equilibrium linearization preserves complete initially empty Fourier-label blocks. An exact centered variation-of-constants identity identifies the propagated initial curvature that must be removed from a finite even response before attributing the remainder to nonlinear evolution. For four selected preparations, matched full and linear evolutions with and without shear show that nonlinear redistribution persists without shear. Late odd-response power fractions outside a threshold-defined initial-support mask are 7.56-9.78% in the nonlinear no-shear systems, while both linear controls record zero. Shear increases the corrected even-response RMS by factors of 1.28-1.98, but increases the outside-mask fraction in only two preparations. The forcing-channel norm fractions measure a different quantity from signed energy transfer or accumulated response. A separate bounded continuation compares cutoffs 32, 40, and 48 from six common late states on a fixed 384 × 384 product grid. Its 30 trajectories span only 0.0625% of the preceding evolution window. These comparisons retain initial even curvature and use a different metric from the corrected factorial response. They show feedback into the original band; a conditional quadratic onset has exploratory support. Timestep refinement at cutoffs 40 and 48 does not resolve the inherited full-window spatial-convergence failures. The deposit includes the paper, detailed supplement, editable sources, figures, compact evidence, and saved-data reproduction code. The calculations are inherited from the parent study (https://doi.org/10.5281/zenodo.23633307), with no new integrations for this reanalysis. Shared evidence across companion papers does not constitute independent replication. OpenAI Codex assisted with source inspection, mathematical discussion, saved-data reduction, plotting code, and manuscript preparation. Jake Campbell directed the research and accepts responsibility for the manuscript.
Author: Campbell, Jake
Language: English
Subfield: Computational Mechanics
Field: Engineering
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225467774