Deterministic Goldbach Conjecture via the Standing/Sitting Band Framework and RH Hamiltonian
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2025
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| author | Paltoo, Nigel Stafford Paltoo, Eliyahu Fir-Sean Singh-Paltoo, Bindrawattie |
| author_facet | Paltoo, Nigel Stafford Paltoo, Eliyahu Fir-Sean Singh-Paltoo, Bindrawattie |
| contents | <p>We present a fully deterministic operator-theoretic framework proving the Goldbach Conjecture<br>for all even integers 2n ≥ 4. Building upon the canonical Riemann Hypothesis Hamiltonian<br>Hcan and the Standing/Sitting Band (SSB) construction, all primes are deterministically propagated<br>across bands. Trace-class positivity guarantees that for each 2n, a pair of standing primes<br>(p, q) exists such that 2n = p + q. The SSB framework prevents prime clumping, ensuring<br>constructive coverage for all even numbers.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18071185 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Deterministic Goldbach Conjecture via the Standing/Sitting Band Framework and RH Hamiltonian Paltoo, Nigel Stafford Paltoo, Eliyahu Fir-Sean Singh-Paltoo, Bindrawattie <p>We present a fully deterministic operator-theoretic framework proving the Goldbach Conjecture<br>for all even integers 2n ≥ 4. Building upon the canonical Riemann Hypothesis Hamiltonian<br>Hcan and the Standing/Sitting Band (SSB) construction, all primes are deterministically propagated<br>across bands. Trace-class positivity guarantees that for each 2n, a pair of standing primes<br>(p, q) exists such that 2n = p + q. The SSB framework prevents prime clumping, ensuring<br>constructive coverage for all even numbers.</p> |
| title | Deterministic Goldbach Conjecture via the Standing/Sitting Band Framework and RH Hamiltonian |
| url | https://doi.org/10.5281/zenodo.18071185 |