2025/05/30 by Farzin Safarzadeh-Maleki, Safarzadeh-Maleki, Farzin
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #Galaxies: Formation, Evolution, Phenomena #High Energy Physics - Theory (hep-th)
paper · pdf · doi:10.48550/arxiv.2505.24420
openalex publication_date 2025/05/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present an exact, non-perturbative and non-singular ansatz for the universe's expansion history through a novel analytic scale factor, a(t)=eH(t) (1-e-k(t)t) b(t), which reproduces the observed sequence of cosmic epochs and bridges inflation to late-time acceleration, as a unified solution, eliminating ad hoc ΛCDM epoch splicing. The model's dynamically constrained parameters (H(t), k(t), b(t)) ensure smooth phase transitions, as confirmed by analytical and numerical analysis of the expansion history. The derived Hubble parameter incorporates quantum-inspired corrections through its functional form, offering a phenomenological approach to integrate quantum effects into classical cosmic evolution. While not derived from fundamental theory, it provides a well motivated framework within brane inspired cosmology with structure exhibiting parallels to brane-world scenarios: the parameter k(t) acts as an effective screening scale, and the non-monotonic k(t)t implies epoch-dependent gravitational coupling. The scaling relation ∼ ρ(t)λ(t) emerges naturally, offering a unified description of constant and variable-tension brane-like behavior at the phenomenological level.