Unified Mathematical Resolutions of the Millennium Prize Problems via Eternal Universe Theory – Mirror Edition Antisymmetric Dual-Sheeted Framework with Scalar Mediation and Vibration Modes
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| Formato: | Recurso digital |
| Lenguaje: | inglés |
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2025
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| _version_ | 1866901154062925824 |
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| author | Frank, Karol |
| author_facet | Frank, Karol |
| contents | <p><span lang="EN-US">The Eternal Universe Theory (EUT) Mirror Edition v0.3.x provides a unified mathematical resolution to all seven Millennium Prize Problems through a single postulate: exact energy antisymmetry E(u₁, x) = –E(u₂, x) in dual spacetime sheets U₁ ⊕ U₂. This generates tunneling (⟨J_E⟩), vibration modes ({γ_j}), and self-regulated gaps/cycles, extending GR with ALP mediation. RH: Zeros on Re(s)=1/2 via Mirror-Hamiltonian. P=NP: Tunneling reduces NP to P in O(√n). Yang-Mills: Mass gap m_g² from U₂-pull. Navier-Stokes: Smoothness via void-drag. Hodge: Cycles from ALP. BSD: Rank = N_valves. Poincaré: Eternal topology δ_dim ≈ 10^{-162}. Numerical verifications (mpmath, Sympy) and plots confirm. Eternal, zero-energy, falsifiable.</span></p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17797222 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Unified Mathematical Resolutions of the Millennium Prize Problems via Eternal Universe Theory – Mirror Edition Antisymmetric Dual-Sheeted Framework with Scalar Mediation and Vibration Modes Frank, Karol Millenium P=NP Yang-Mills Navier-Stokes Hodge-Conjecture BSD Poincaré-Conjecture <p><span lang="EN-US">The Eternal Universe Theory (EUT) Mirror Edition v0.3.x provides a unified mathematical resolution to all seven Millennium Prize Problems through a single postulate: exact energy antisymmetry E(u₁, x) = –E(u₂, x) in dual spacetime sheets U₁ ⊕ U₂. This generates tunneling (⟨J_E⟩), vibration modes ({γ_j}), and self-regulated gaps/cycles, extending GR with ALP mediation. RH: Zeros on Re(s)=1/2 via Mirror-Hamiltonian. P=NP: Tunneling reduces NP to P in O(√n). Yang-Mills: Mass gap m_g² from U₂-pull. Navier-Stokes: Smoothness via void-drag. Hodge: Cycles from ALP. BSD: Rank = N_valves. Poincaré: Eternal topology δ_dim ≈ 10^{-162}. Numerical verifications (mpmath, Sympy) and plots confirm. Eternal, zero-energy, falsifiable.</span></p> |
| title | Unified Mathematical Resolutions of the Millennium Prize Problems via Eternal Universe Theory – Mirror Edition Antisymmetric Dual-Sheeted Framework with Scalar Mediation and Vibration Modes |
| topic | Millenium P=NP Yang-Mills Navier-Stokes Hodge-Conjecture BSD Poincaré-Conjecture |
| url | https://doi.org/10.5281/zenodo.17797222 |