What question did this study set out to answer?

To derive the mapping from thermodynamic attractors to observable CMB parameters in cyclic cosmology.

February 25, 20260 citationsOpen Access

Entropy-Scalar Relation: From Thermodynamic Attractors to CMB Observables in Cyclic Cosmology

Key Points

To derive the mapping from thermodynamic attractors to observable CMB parameters in cyclic cosmology.
Deriving relationships between thermodynamic attractors and observable parameters.
Analyzing scalar spectral index, tensor-to-scalar ratio, and non-Gaussianity parameters.
Establishing the consistency relation involving tensor tilt and relaxation time.
Identified a unique consistency relation n_t · τ_relax = −1.
Demonstrated independence from bounce mechanisms.
Showed predictions that differ from single-field inflation and ekpyrotic models.

Abstract

We derive the mapping from the thermodynamic attractor (Paper IV) to observable CMB parameters: the scalar spectral index nₛ, tensor-to-scalar ratio r, tensor tilt nₜ, and non-Gaussianity parameters fNL and gNL. The key result is the consistency relation nₜ · τᵣelax = −1, which is independent of the details of the bounce mechanism and depends only on the attractor thermodynamics. This relation constitutes the framework's "smoking gun" — a prediction that is qualitatively distinct from both single-field inflation (nₜ = −r/8) and standard ekpyrotic models (nₜ ≈ 0). Part V of VII.

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