Non-Equilibrium Unified Field Theory III: Natural Derivation of Cosmic Expansion and Cosmic Age from the Equilibrium Condition r = zD′ + y
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2026
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| _version_ | 1866901208804884480 |
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| author | ueda, takashi |
| author_facet | ueda, takashi |
| contents | <p>Building upon the non-equilibrium unified equation and the equilibrium condition r =</p> <p>zD′ + y (D′ =</p> <p>√</p> <p>1 + D) presented in previous works [?, ?], this paper analyzes the behavior</p> <p>of the center-to-center distance r under the specific geometric condition y = z = lp/2 (half</p> <p>the Planck length). As the many-body field parameter D increases from 1 (Planck scale)</p> <p>to 3.13 × 10122 (cosmological scale), r grows proportionally to √</p> <p>D, directly reproducing</p> <p>cosmic expansion. Treating d</p> <p>2D</p> <p>dt2 as the indicator of spatial expansion acceleration yields the</p> <p>time dependence of D. Finally, the equilibrium radius r ≈ 1.43 × 1026 m gives the cosmic</p> <p>age t ≈ r/c ≈ 15.1 billion years, in excellent agreement with the observed value of 13.8</p> <p>billion years (Planck 2026 data). The non-equilibrium unified theory thus unifies the four</p> <p>fundamental interactions, fractal hierarchy, cosmological constant, cosmic expansion, and</p> <p>cosmic age within a single geometric equilibrium condition without any ad-hoc parameters.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19435790 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Non-Equilibrium Unified Field Theory III: Natural Derivation of Cosmic Expansion and Cosmic Age from the Equilibrium Condition r = zD′ + y ueda, takashi <p>Building upon the non-equilibrium unified equation and the equilibrium condition r =</p> <p>zD′ + y (D′ =</p> <p>√</p> <p>1 + D) presented in previous works [?, ?], this paper analyzes the behavior</p> <p>of the center-to-center distance r under the specific geometric condition y = z = lp/2 (half</p> <p>the Planck length). As the many-body field parameter D increases from 1 (Planck scale)</p> <p>to 3.13 × 10122 (cosmological scale), r grows proportionally to √</p> <p>D, directly reproducing</p> <p>cosmic expansion. Treating d</p> <p>2D</p> <p>dt2 as the indicator of spatial expansion acceleration yields the</p> <p>time dependence of D. Finally, the equilibrium radius r ≈ 1.43 × 1026 m gives the cosmic</p> <p>age t ≈ r/c ≈ 15.1 billion years, in excellent agreement with the observed value of 13.8</p> <p>billion years (Planck 2026 data). The non-equilibrium unified theory thus unifies the four</p> <p>fundamental interactions, fractal hierarchy, cosmological constant, cosmic expansion, and</p> <p>cosmic age within a single geometric equilibrium condition without any ad-hoc parameters.</p> |
| title | Non-Equilibrium Unified Field Theory III: Natural Derivation of Cosmic Expansion and Cosmic Age from the Equilibrium Condition r = zD′ + y |
| url | https://doi.org/10.5281/zenodo.19435790 |