Published June 5, 2026 | Version 1.0.0

Code and figure for "Quintessence with Memory: Perturbative Non-Degeneracy and the Unerasable Imprint of Early Tracking"

Authors/Creators

  • 1. São Paulo, Brazil

Description

Self-contained Python scripts reproducing every symbolic and numerical claim of the manuscript "Quintessence with Memory: Perturbative Non-Degeneracy and the Unerasable Imprint of Early Tracking" (E. Behenck, 2026, companion to the CDM no-go paper). Includes: exact kernel moments and correct-vertex discrepancies (sympy); the universality lemma (ratio -1/(Ht)); the dispersion theorem eigenvalues and D(t) across the matter-Lambda transition (prefactor-exact); per-mode magnitudes for thawing and tracking histories; the exact coupled linear system in synchronous gauge (Ma-Bertschinger) with validations and the tracker/thawing confrontation including gauge-invariant contrasts and the Born cross-check; closed-form LCDM Green's function (hypergeometric) verified to 1e-13; generalized kernel-exponent checks; attractor stability of the captured tracker. See README.md for a script-by-script map to the paper. Requirements: Python >= 3.9, numpy, scipy, sympy, matplotlib. License: MIT.

Files

Behenck_N2_code_v1.0.zip

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Additional details

Related works

Is supplement to
Preprint: 10.5281/zenodo.20562171 (DOI)
References
Software: 10.5281/zenodo.20547191 (DOI)
Preprint: 10.5281/zenodo.20547513 (DOI)