Published April 20, 2026
| Version v1
Preprint
Open
RLDS Series Overview: A Five-Part Research Program on Regime-Limited Dynamical Systems and Dark-Sector Attractor Cosmology
Description
This record provides an overview of the RLDS series, a five-part research program on Regime-Limited Dynamical Systems (RLDS) and their application to dark-sector cosmology.
The series develops, in sequence, the mathematical prototype, the canonical RLDS framework, the paired observational signature, the structural cosmological consequences, and a representative microphysical descent to the RLDS attractor.
The five parts are:
Paper I:
RLDS I: On a Global Attractor for a Class of One-Dimensional Autonomous Systems with Singular Restoring Force.
DOI: 10.5281/zenodo.19627496
Paper II:
RLDS II: Regime-Limited Dynamical Systems --- Theory and Reduction Criteria for Singular ODEs.
DOI: 10.5281/zenodo.19628881
Paper III:
RLDS III: A Paired Signature of the Dark-Sector Attractor --- Numerical Derivation from the RLDS ODE, Partial Observational Support from DESI DR2, and the Open Growth-Sector Test.
DOI: 10.5281/zenodo.19636371
Paper IV:
RLDS IV: Three Structural Consequences of a Dark-Sector Attractor --- Inevitable Acceleration, Derived Matter Density, and the Phantom Prediction.
DOI: 10.5281/zenodo.19640061
Paper V:
RLDS V: Microphysical Emergence of Regime-Limited Dark-Sector Dynamics --- A Representative Reduction from Interacting Field Theory to the RLDS Attractor.
DOI: 10.5281/zenodo.19640630
This overview record is intended as the main entry point to the full RLDS series.
Files
RLDS_series_overview.pdf
Files
(96.6 kB)
| Name | Size | Download all |
|---|---|---|
|
md5:22804ce2685ca72a62803cac57b3392e
|
96.6 kB | Preview Download |