The Interval of Existence: Physical Foundations of Four Millennium Problems
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2025
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| _version_ | 1866902186042064896 |
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| author | Golbere, Brian |
| author_facet | Golbere, Brian |
| contents | <p>This paper demonstrates that the Riemann Hypothesis, P vs NP, Navier-Stokes regularity, and the Yang-Mills mass gap are not isolated mathematical challenges but boundary conditions on a single physical quantity: the coordination ratio ρ = E₊/E₋. By defining the interval of sustainable coordination as 2 ≤ ρ ≤ π, we provide unified proofs for all four Millennium Problems. The framework is anchored by a "skip-level encoding" architecture consisting of a substrate (L₀), a hidden grammar (L₁), and a visible output (L₂). We provide empirical validation by deriving 11 fundamental physical constants (including the Z boson, Muon, and Proton masses) from Riemann zeta zeros with a mean error of 0.037% and zero free parameters. The historical difficulty of these problems is identified as a methodological artifact of time-symmetric (ρ = 1) mathematical foundations, which we extend to include physical, time-asymmetric (ρ > 1) constraints.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18112067 |
| institution | Zenodo |
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| publishDate | 2025 |
| publisher | Zenodo |
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| spellingShingle | The Interval of Existence: Physical Foundations of Four Millennium Problems Golbere, Brian Riemann Hypothesis Yang-Mills Mass Gap Navier-Stokes P vs NP Trefoil Knot Zeta Zeros Topological Physics particle mass predictions Navier-Stokes regularity Skip-Level Encoding <p>This paper demonstrates that the Riemann Hypothesis, P vs NP, Navier-Stokes regularity, and the Yang-Mills mass gap are not isolated mathematical challenges but boundary conditions on a single physical quantity: the coordination ratio ρ = E₊/E₋. By defining the interval of sustainable coordination as 2 ≤ ρ ≤ π, we provide unified proofs for all four Millennium Problems. The framework is anchored by a "skip-level encoding" architecture consisting of a substrate (L₀), a hidden grammar (L₁), and a visible output (L₂). We provide empirical validation by deriving 11 fundamental physical constants (including the Z boson, Muon, and Proton masses) from Riemann zeta zeros with a mean error of 0.037% and zero free parameters. The historical difficulty of these problems is identified as a methodological artifact of time-symmetric (ρ = 1) mathematical foundations, which we extend to include physical, time-asymmetric (ρ > 1) constraints.</p> |
| title | The Interval of Existence: Physical Foundations of Four Millennium Problems |
| topic | Riemann Hypothesis Yang-Mills Mass Gap Navier-Stokes P vs NP Trefoil Knot Zeta Zeros Topological Physics particle mass predictions Navier-Stokes regularity Skip-Level Encoding |
| url | https://doi.org/10.5281/zenodo.18112067 |