Binary Goldbach

Problem

The Goldbach branch studies the fibre \((A-h, A+h)\) for even targets. It is the first arithmetic terminal readout in the corpus and is treated by a structural manuscript together with an effective closure manuscript.

Geometric formulation

The branch compares native and observed prime-pair ledgers on the same additive fibre, then compresses discrepancy into a terminal parity-sensitive channel.

Main manuscript claim

The structural manuscript claims that every sufficiently large even integer is a sum of two primes within the prime-specialized multiplicative geometric model. The companion effective manuscript supplies an explicit threshold and finite-range overlap.

Proof architecture / transport mechanism

The branch isolates parity-sensitive obstruction transport and uses an anti-recycling mechanism: bad mass cannot repeatedly evade terminal realization without contradicting the ledger balance imposed by the same channel.

Effective closure

The second paper links the asymptotic argument to a verified finite range, producing a stated explicit threshold rather than leaving the structural route only in qualitative form.

@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}
}

@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}
}