The Return to the Einstein Spherical Universe: The Dawning Moment of a New Cosmic Science

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Abstract

We present a credible and correct validation of the Modified Einstein Spherical (MES) Universe Model, demonstrating its viability as a fundamental framework for modern cosmology and Physics of the Cosmos, challenging ΛCDM. Through advanced numerical simulations and multi-platform cross-validation, we identified Einstein's 1917 closed spherical universe, augmented with three novel geometric corrections: Zaitian Quantum Power Zjk, Nonlinear Symmetry Njk, and Chaotic Power Cjk , providing a deep and groundbreaking scientific understanding of the universe evolution. These first-principles corrections, derived from scalar-field extensions to the Einstein-Hilbert action, unify Quantum Entanglement phenomena, Matter-Antimatter Asymmetry, and Spacetime Fluctuations within a single geometric paradigm, replacing the Dark Energy hypothesis with curvature-driven dynamics. The MES framework bridges classical general relativity and quantum cosmology, resolves persistent cosmological tensions, and provides testable predictions. MES achieves remarkable consistency with the observational datasets Planck 2018 CMB, SDSS-IV BAO, and Pantheon+ SN Ia, yielding H0=68.0±0.8 km/s/Mpc ( χ2=1200, dof = 2499) and reducing Hubble tension below 2σ. MES key features: 1. Dynamic energy density components (ρZ∝αa-4, ρN∝βa-3, ρC∝γa-1 sin⁡(t⁄τ)) that maintain cosmic stability without fine-tuning. 2. A closed geometry that predicts distinct observational signatures, such as CMB polarization (rcorr>0.8 at l<30 ) and low-frequency gravitational waves ( f ~ 10-3 Hz ).

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  1. This Zenodo record is a permanently preserved version of a PREreview. You can view the complete PREreview at https://prereview.org/reviews/15354073.

    This paper presents a novel cosmological framework—the Modified Einstein Spherical (MES) Universe Model—which extends Einstein's 1917 closed universe with three geometric correction terms. These additions aim to replace dark energy with curvature effects derived from scalar fields, offering a unified view of quantum entanglement, matter-antimatter asymmetry, and spacetime fluctuations. The model is mathematically consistent, conserves energy-momentum, and fits key observational data (Planck, SDSS, Pantheon+), reducing the Hubble tension below 2σ.

    Strengths:

    • Theoretical originality

    • Testable predictions

    • Strong numerical validation

    Suggestion: Clarify physical meaning of correction terms and compare more deeply with existing models.

    If confirmed, this model offers a compelling new direction for cosmology.

    Competing interests

    The author declares that they have no competing interests.