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DOI links, role in corpus, read targets and BibTeX for the public research corpus.

Foundational abstract multiplicative-geometric critical model

Internal critical-line alignment in multiplicative geometric models

Foundational abstract multiplicative-geometric critical model.

Date
View on Zenodo
@misc{gotanegra2026foundational,
  author       = {Jaume Gotanegra},
  title        = {Internal critical-line alignment in multiplicative geometric models},
  year         = {2026},
  month        = {Mar},
  doi          = {10.5281/zenodo.19000684},
  url          = {https://doi.org/10.5281/zenodo.19000684},
  note         = {Preprint}
}
Prime specialization / critical-line / zeta stage

Internal Critical-Line Alignment and Zero Localization in a Multiplicative Geometric Model Specialized to Primes

Prime specialization, quotient transport and critical-line alignment.

Date
View on Zenodo
@misc{gotanegra2026criticalline,
  author       = {Jaume Gotanegra},
  title        = {Internal Critical-Line Alignment and Zero Localization in a Multiplicative Geometric Model Specialized to Primes},
  year         = {2026},
  month        = {Apr},
  doi          = {10.5281/zenodo.19388932},
  url          = {https://doi.org/10.5281/zenodo.19388932},
  note         = {Preprint}
}
Asymptotic binary Goldbach

On the Binary Goldbach Problem in a Prime-Specialized Multiplicative Geometric Model

Structural Goldbach manuscript in the prime-specialized framework.

Date
View on Zenodo
@misc{gotanegra2026goldbach,
  author       = {Jaume Gotanegra},
  title        = {On the Binary Goldbach Problem in a Prime-Specialized Multiplicative Geometric Model},
  year         = {2026},
  month        = {Apr},
  doi          = {10.5281/zenodo.19603868},
  url          = {https://doi.org/10.5281/zenodo.19603868},
  note         = {Preprint}
}
Effective Goldbach threshold

An Explicit Threshold for the Binary Goldbach Conjecture in a Prime-Specialized Multiplicative Geometric Model

Explicit threshold argument connected to the structural Goldbach route.

Date
View on Zenodo
@misc{gotanegra2026goldbachthreshold,
  author       = {Jaume Gotanegra},
  title        = {An Explicit Threshold for the Binary Goldbach Conjecture in a Prime-Specialized Multiplicative Geometric Model},
  year         = {2026},
  month        = {Apr},
  doi          = {10.5281/zenodo.19603946},
  url          = {https://doi.org/10.5281/zenodo.19603946},
  note         = {Preprint}
}
Twin-prime fixed-gap endpointal branch

On the Twin Prime Problem in a Prime-Specialized Multiplicative Geometric Model

Fixed-gap endpointal branch with primitive-zero discrepancy.

Date
View on Zenodo
@misc{gotanegra2026twin,
  author       = {Jaume Gotanegra},
  title        = {On the Twin Prime Problem in a Prime-Specialized Multiplicative Geometric Model},
  year         = {2026},
  month        = {May},
  doi          = {10.5281/zenodo.20478342},
  url          = {https://doi.org/10.5281/zenodo.20478342},
  note         = {Preprint}
}
Mersenne stopped-survivor branch

On the Mersenne Prime Problem in a Prime-Specialized Multiplicative Geometric Model

Stopped-survivor branch on exact divisor traces of the Mersenne sequence.

Date
View on Zenodo
@misc{gotanegra2026mersenne,
  author       = {Jaume Gotanegra},
  title        = {On the Mersenne Prime Problem in a Prime-Specialized Multiplicative Geometric Model},
  year         = {2026},
  month        = {Jun},
  doi          = {10.5281/zenodo.20546633},
  url          = {https://doi.org/10.5281/zenodo.20546633},
  note         = {Preprint}
}
Sophie Germain affine frozen-two branch

On the Infinitude of Sophie Germain Primes in a Prime-Specialized Multiplicative Geometric Model

Affine frozen-two branch with same-channel native/observed discrepancy.

Date
View on Zenodo
@misc{gotanegra2026sophiegermain,
  author       = {Jaume Gotanegra},
  title        = {On the Infinitude of Sophie Germain Primes in a Prime-Specialized Multiplicative Geometric Model},
  year         = {2026},
  month        = {Jun},
  doi          = {10.5281/zenodo.20744219},
  url          = {https://doi.org/10.5281/zenodo.20744219},
  note         = {Preprint}
}
History / roadmap / conceptual development

Irreducible Bases and the Geometry of Prime Configurations

Critical Alignment, Transported Obstructions, and Parity-Exit Mechanisms.

RoleHistory / roadmap / conceptual development of the corpus
Read PDFRead
@misc{gotanegra2026history,
  author       = {Jaume Gotanegra},
  title        = {Irreducible Bases and the Geometry of Prime Configurations},
  subtitle     = {Critical Alignment, Transported Obstructions, and Parity-Exit Mechanisms},
  year         = {2026},
  url          = {https://www.gotanegra.com/papers/history-of-the-corpus.pdf},
  note         = {History / roadmap / conceptual development of the corpus}
}
Research status. The results presented on this site are claims contained in research manuscripts and preprints. References to “theorem”, “result”, or “proof” describe their status within the corresponding manuscript. They do not imply journal publication, peer-review acceptance, or independent validation unless explicitly stated.