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February 17, 2026Open Access

Euclid fσ₈ as a Probe of Relaxation-Driven Cyclic Cosmology

Puntos clave

This research aims to derive linear growth signatures of Relaxation-Driven Cyclic Cosmology and assess its observational effects.
Derivation of growth signatures related to Relaxation-Driven Cyclic Cosmology.
Evaluation of fσ₈ measurements from Euclid as a probe for the relaxation parameter α.
Comparison of RDCC dynamics with ΛCDM for background-degeneracy analysis.
RDCC predicts a percent-level suppression in growth rate due to damping of isocurvature mode.
The framework provides a minimal and falsifiable approach for observing RDCC dynamics.

Resumen

Appendix to "Unified CPT-Symmetric Cyclic Cosmology: From Timeless Geometric Foundations to Relaxation-Driven Dynamics with Explicit Bounce Transfer" https://zenodo.org/records/18637610 This note derives the linear growth signatures of Relaxation-Driven Cyclic Cosmology (RDCC) and evaluates the sensitivity of upcoming fσ₈ measurements, particularly from Euclid, to the relaxation parameter α. We show that RDCC remains background-degenerate with ΛCDM while predicting a percent-level suppression in the growth rate through damping of the isocurvature mode. The resulting framework provides a minimal and falsifiable observational window into RDCC dynamics. Michael Lehmannmi.lehmann@gmx.de Related documents and the full RDCC ecosystem are available via Zenodo:https://zenodo.org/records/18204087

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