The $\Lambda$VSC One-Parameter Cosmological Model: A Unified Analysis of the Cosmological Constant, Singularities, Ultraviolet Divergence, and Hubble Tension with Lean 4 Verification
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| Formato: | Recurso digital |
| Lenguaje: | inglés |
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2026
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| _version_ | 1866902333904912384 |
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| author | Huang, Tongbing |
| author_facet | Huang, Tongbing |
| contents | <div> <div>We present the Lambda Vacuum Spectrum-Coupled (LVSC) universe model as a one-parameter framework addressing four problems: the cosmological constant, spacetime singularities, perturbative quantum-gravity ultraviolet divergence, and the Hubble tension. With the vacuum ground-state energy density rho0 as the only core parameter, and starting from five axioms plus the least-action principle, we derive the vacuum-field dynamics, a natural Planck-scale ultraviolet cutoff, strong-energy-condition violation, and bounded curvature. Using CODATA 2022 alpha with effective QED renormalization-group matching, we obtain a closed alpha -> N -> Lambda chain with N = 1.037111 x 10^13, Delta_RG(N*) = 9.187251, Lambda_th = 1.10560 x 10^-52 m^-2, and H0_th = 67.6600 km s^-1 Mpc^-1. We interpret the Hubble tension as the combined effect of weak effective dark-energy evolution and local void structure, and we cross-audit key results with Lean 4, Python, and Maxima.</div> </div> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19316426 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The $\Lambda$VSC One-Parameter Cosmological Model: A Unified Analysis of the Cosmological Constant, Singularities, Ultraviolet Divergence, and Hubble Tension with Lean 4 Verification Huang, Tongbing $\Lambda$VSC universe model; cosmological constant; singularities; Hubble tension; ultraviolet divergence; first-principles derivation; Lean 4 formal verification <div> <div>We present the Lambda Vacuum Spectrum-Coupled (LVSC) universe model as a one-parameter framework addressing four problems: the cosmological constant, spacetime singularities, perturbative quantum-gravity ultraviolet divergence, and the Hubble tension. With the vacuum ground-state energy density rho0 as the only core parameter, and starting from five axioms plus the least-action principle, we derive the vacuum-field dynamics, a natural Planck-scale ultraviolet cutoff, strong-energy-condition violation, and bounded curvature. Using CODATA 2022 alpha with effective QED renormalization-group matching, we obtain a closed alpha -> N -> Lambda chain with N = 1.037111 x 10^13, Delta_RG(N*) = 9.187251, Lambda_th = 1.10560 x 10^-52 m^-2, and H0_th = 67.6600 km s^-1 Mpc^-1. We interpret the Hubble tension as the combined effect of weak effective dark-energy evolution and local void structure, and we cross-audit key results with Lean 4, Python, and Maxima.</div> </div> |
| title | The $\Lambda$VSC One-Parameter Cosmological Model: A Unified Analysis of the Cosmological Constant, Singularities, Ultraviolet Divergence, and Hubble Tension with Lean 4 Verification |
| topic | $\Lambda$VSC universe model; cosmological constant; singularities; Hubble tension; ultraviolet divergence; first-principles derivation; Lean 4 formal verification |
| url | https://doi.org/10.5281/zenodo.19316426 |