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2026
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| Online Access: | https://doi.org/10.5281/zenodo.19591768 |
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| _version_ | 1866901761418067968 |
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| author | Penghong, jiao |
| author_facet | Penghong, jiao |
| contents | <p>The standard cosmological model (ΛCDM) faces two irreconcilable observational conflicts: the Hubble tension (H₀) and the S₈ tension, both exhibiting a relative deviation of approximately 8% with opposite signs. Existing remedies generally introduce additional free parameters and fail to question the foundational assumption of ΛCDM—a globally uniform cosmic time. In this paper, we propose the Gauge Chromatic Membrane (GCM) as a cosmological framework: the observable universe is an elastic membrane, cosmic expansion corresponds to its stretching, and the flow rate of physical time is determined by the membrane's geometric state. After the recombination epoch (t_* = 38 kyr), a constant total energy injection rate Q from higher-dimensional space into the membrane is assumed. We rigorously construct the GCM metric, distinguishing coordinate time from physical proper time, and self-consistently incorporate the energy injection into a modified Friedmann continuity equation. Solving the system yields a late-time scale-factor evolution a²(t) ∝ t and a time-flow ratio γ(t) = a₀/a(t). By interpreting the cosmological constant Λ as the elastic potential energy of the membrane, the model automatically accommodates late-time cosmic acceleration. Calculations show that the difference in time-flow rate between the local universe (lookback time ~1.6 Gyr) and the early universe is precisely 8.3%, simultaneously explaining the observed overestimate of H₀ and underestimate of S₈. This mechanism introduces no extra free parameters, modifies no gravitational theory, and remains fully consistent with CMB, BAO, and thermodynamic observations. The framework yields several exclusive, quantitatively testable predictions.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19591768 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Homologous Origin of Hubble Tension and S₈ Tension: A Geometric Explanation from the Gauge Chromatic Membrane (GCM) Framework Penghong, jiao <p>The standard cosmological model (ΛCDM) faces two irreconcilable observational conflicts: the Hubble tension (H₀) and the S₈ tension, both exhibiting a relative deviation of approximately 8% with opposite signs. Existing remedies generally introduce additional free parameters and fail to question the foundational assumption of ΛCDM—a globally uniform cosmic time. In this paper, we propose the Gauge Chromatic Membrane (GCM) as a cosmological framework: the observable universe is an elastic membrane, cosmic expansion corresponds to its stretching, and the flow rate of physical time is determined by the membrane's geometric state. After the recombination epoch (t_* = 38 kyr), a constant total energy injection rate Q from higher-dimensional space into the membrane is assumed. We rigorously construct the GCM metric, distinguishing coordinate time from physical proper time, and self-consistently incorporate the energy injection into a modified Friedmann continuity equation. Solving the system yields a late-time scale-factor evolution a²(t) ∝ t and a time-flow ratio γ(t) = a₀/a(t). By interpreting the cosmological constant Λ as the elastic potential energy of the membrane, the model automatically accommodates late-time cosmic acceleration. Calculations show that the difference in time-flow rate between the local universe (lookback time ~1.6 Gyr) and the early universe is precisely 8.3%, simultaneously explaining the observed overestimate of H₀ and underestimate of S₈. This mechanism introduces no extra free parameters, modifies no gravitational theory, and remains fully consistent with CMB, BAO, and thermodynamic observations. The framework yields several exclusive, quantitatively testable predictions.</p> |
| title | Homologous Origin of Hubble Tension and S₈ Tension: A Geometric Explanation from the Gauge Chromatic Membrane (GCM) Framework |
| url | https://doi.org/10.5281/zenodo.19591768 |