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PreprintCC BY 4.0Zenodo

A Candidate Proof Architecture for Binary Goldbach: Signed Möbius–Prime Correlations, Quartic Sieve Reassembly, Balanced Type-II Dispersion, and the Remaining Parity-Separation Theorem

  1. 1Philipps University of Marburg

Abstract

The quartic sieve and signed Möbius–prime correlation programme is reviewed through Gold-42. Exact divisor-interval, Vaughan, gcd, Fourier and projection identities identify the unresolved fixed-even-integer parity-separation theorem. The balanced Type-II model leads to major- and minor-arc questions, neither closed at the required strength.

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BibTeX
@misc{arneth2026candidate,
  title = {{A Candidate Proof Architecture for Binary Goldbach: Signed Möbius–Prime Correlations, Quartic Sieve Reassembly, Balanced Type-II Dispersion, and the Remaining Parity-Separation Theorem}},
  author = {Borros Arneth},
  howpublished = {Zenodo},
  year = {2026},
  month = oct,
  doi = {10.5281/zenodo.23504447},
  url = {https://zenodo.org/records/23504447},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - A Candidate Proof Architecture for Binary Goldbach: Signed Möbius–Prime Correlations, Quartic Sieve Reassembly, Balanced Type-II Dispersion, and the Remaining Parity-Separation Theorem
AU  - Borros Arneth
PY  - 2026
DA  - 2026/10/20
PB  - Zenodo
DO  - 10.5281/zenodo.23504447
UR  - https://zenodo.org/records/23504447
AB  - The quartic sieve and signed Möbius–prime correlation programme is reviewed through Gold-42. Exact divisor-interval, Vaughan, gcd, Fourier and projection identities identify the unresolved fixed-even-integer parity-separation theorem. The balanced Type-II model leads to major- and minor-arc questions, neither closed at the required strength.
ER  -