Primes as a Field on a Discrete Torus
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| Format: | Recurso digital |
| Sprache: | Englisch |
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2026
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| _version_ | 1866902057843163136 |
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| author | Tatai, László |
| author_facet | Tatai, László |
| contents | <p>Prime numbers mapped to a discrete torus via modular embedding Phi_k(n) = (n mod p1, ..., n mod pk). The prime distribution <br>decomposes as P(prime at s) = mu(s) · S(s) · rho(s), where rho(s) is a non-constant prime preference field with measurable Fourier structure. Three conjectures: quasi-twin prime signature (p = q²-2), prime spectral decomposition, and envelope curve V(m) ~ C/ln(m). Validated empirically at N = 10^8.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19705530 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Primes as a Field on a Discrete Torus Tatai, László prime numbers discrete torus modular arithmetic prime preference field Fourier analysis quasi-twin primes potential field sieve theory number theory PrimSpace DVFM spectral decomposition field theory <p>Prime numbers mapped to a discrete torus via modular embedding Phi_k(n) = (n mod p1, ..., n mod pk). The prime distribution <br>decomposes as P(prime at s) = mu(s) · S(s) · rho(s), where rho(s) is a non-constant prime preference field with measurable Fourier structure. Three conjectures: quasi-twin prime signature (p = q²-2), prime spectral decomposition, and envelope curve V(m) ~ C/ln(m). Validated empirically at N = 10^8.</p> |
| title | Primes as a Field on a Discrete Torus |
| topic | prime numbers discrete torus modular arithmetic prime preference field Fourier analysis quasi-twin primes potential field sieve theory number theory PrimSpace DVFM spectral decomposition field theory |
| url | https://doi.org/10.5281/zenodo.19705530 |