Goldbach Public Bundle Index

Status

Public-review candidate for the coming-week homepage pass.

This bundle is not a proof of Goldbach.

It is a research map and open-problem package.

Intended Public Title

A Depth-3 Buchstab Minorant Map for Binary Goldbach

Public Entry Point

Start here:

• ../CURRENT_STATUS.md
• REVIEWER_FIRST_PAGE.md
• GOLDBACH_MAP_PAPER_DRAFT.md
• FORMAL_DYADIC_MODEL.md
• GOLDBACH_NORMALIZATION_AUDIT.md
• GOLDBACH_CORRIDOR_MODEL_AUDIT.md
• STANDARD_PIPELINE_NO_GO_THEOREM.md
• OVERSIZED_MODULUS_ESCAPE_TEST.md
• LARGE_MODULUS_SHIFTED_PRIME_FEASIBILITY.md
• LM_SPD_FORMAL_TARGET.md
• LM_SPD_KERNEL_DERIVATION_ATTEMPT.md
• SIGN_PRESERVING_OVERSIZED_DISPERSION_ATTEMPT.md
• COUPLED_SIGNED_IDENTITY_TEST.md
• DIRECT_RST_LM_SPD_IMPORT_AUDIT.md
• MAIN_SCALE_AUDIT.md
• EXPONENT_BUDGET.md
• INTEGER_CORRIDOR_COUNT.md
• PARTIAL_MATCH_CORRIDOR_A.md
• PARTIAL_MATCH_CORRIDOR_C_AND_REVIEW_QUESTIONS.md
• INARIAEL_REVIEW_PROMPT_ONE_R_MATCH_GATE.md
• INARIAEL_REVIEW_RESPONSE_ONE_R_MATCH_GATE.md
• ONE_R_MATCH_LOCAL_MODEL.md
• INARIAEL_REVIEW_PROMPT_BILINEAR_RATIO_BOUND.md
• BILINEAR_RATIO_BOUND_LOCAL_RESPONSE.md
• POST_SATURATION_BRANCH_DECISION.md
• PHASE_SENSITIVE_ONE_R_MATCH_TARGET.md
• SIGNED_KERNEL_DERIVATION_CHECKLIST.md
• SIGNED_KERNEL_DERIVATION_ATTEMPT_L2.md
• NO_SIGNED_KERNEL_STOP_DECISION.md
• PIVOT_DECISION_AFTER_L2_FAILURE.md
• SIGNED_WEIGHT_PIVOT_TEST.md
• SIGNED_WEIGHT_PIVOT_STRUCTURAL_RESULT.md
• AUTOLOOP_NEXT_ACTIONS.md
• MINORANT_GEOMETRY_PIVOT_TEST.md
• RATIO_LARGE_SIEVE_PIVOT_TEST.md
• PUBLIC_MAP_STOP_DECISION.md
• PUBLIC_FREEZE_MANIFEST.md
• ARCHIVE_ALPHA4_SIGNED_KERNEL_AUDIT.md
• EXPERT_REVIEW_PACKET.md
• REVIEWER_FIRST_PAGE.md
• HOMEPAGE_NOTE_V2.md
• HOMEPAGE_SNIPPET_SAFE.md for a short paste-ready homepage block
• PAPERIZATION_CHECKLIST.md for the bounded next work units before formal-paper status

Technical Background

Use these files as the controlled technical surface:

• GOLDBACH_MAP_PAPER_DRAFT.md
• EXPERT_REVIEW_PACKET.md
• DEPTH3_BUCHSTAB_MINORANT_REDUCTION.md
• TYPEIII_RESIDUAL_IMPORT_AUDIT_AND_STOP_DECISION.md
• TYPEIII_RESIDUAL_SHEAR_OPEN_PROBLEM.md
• PAPERIZATION_CHECKLIST.md
• FORMAL_DYADIC_MODEL.md
• GOLDBACH_NORMALIZATION_AUDIT.md
• GOLDBACH_CORRIDOR_MODEL_AUDIT.md
• STANDARD_PIPELINE_NO_GO_THEOREM.md
• OVERSIZED_MODULUS_ESCAPE_TEST.md
• LARGE_MODULUS_SHIFTED_PRIME_FEASIBILITY.md
• LM_SPD_FORMAL_TARGET.md
• LM_SPD_KERNEL_DERIVATION_ATTEMPT.md
• SIGN_PRESERVING_OVERSIZED_DISPERSION_ATTEMPT.md
• COUPLED_SIGNED_IDENTITY_TEST.md
• DIRECT_RST_LM_SPD_IMPORT_AUDIT.md
• MAIN_SCALE_AUDIT.md
• EXPONENT_BUDGET.md
• INTEGER_CORRIDOR_COUNT.md
• PARTIAL_MATCH_CORRIDOR_A.md
• PARTIAL_MATCH_CORRIDOR_C_AND_REVIEW_QUESTIONS.md
• INARIAEL_REVIEW_PROMPT_ONE_R_MATCH_GATE.md
• INARIAEL_REVIEW_RESPONSE_ONE_R_MATCH_GATE.md
• ONE_R_MATCH_LOCAL_MODEL.md
• INARIAEL_REVIEW_PROMPT_BILINEAR_RATIO_BOUND.md
• BILINEAR_RATIO_BOUND_LOCAL_RESPONSE.md
• POST_SATURATION_BRANCH_DECISION.md
• PHASE_SENSITIVE_ONE_R_MATCH_TARGET.md
• SIGNED_KERNEL_DERIVATION_CHECKLIST.md
• SIGNED_KERNEL_DERIVATION_ATTEMPT_L2.md
• NO_SIGNED_KERNEL_STOP_DECISION.md
• PIVOT_DECISION_AFTER_L2_FAILURE.md
• SIGNED_WEIGHT_PIVOT_TEST.md
• SIGNED_WEIGHT_PIVOT_STRUCTURAL_RESULT.md
• AUTOLOOP_NEXT_ACTIONS.md
• MINORANT_GEOMETRY_PIVOT_TEST.md
• RATIO_LARGE_SIEVE_PIVOT_TEST.md
• PUBLIC_MAP_STOP_DECISION.md
• PUBLIC_FREEZE_MANIFEST.md
• ARCHIVE_ALPHA4_SIGNED_KERNEL_AUDIT.md

Do Not Publish As Public Surface

Do not expose the full internal TYPEIII_* chain as the main public surface.

Reason:

it is proof-search scaffolding, not a finished paper.

Individual internal notes can be shared later if an expert asks for a specific derivation.

Also see:

• PUBLIC_EXCLUSION_LIST.md

One-Sentence Claim

We isolate a depth-3 Buchstab minorant route for binary Goldbach and identify the remaining analytic wall as a one-R-match variance wall inside the Type-III shifted-prime surface.

Required Disclaimer

Use this disclaimer near the top of any public page:

This is not a proof of Goldbach. It is a structural reduction and open-problem statement.

Expert Review Ask

The useful expert question is:

Does the exact Type-III dispersion identity produce a nontrivial signed one-R-match kernel omega_p(t) / W_p(chi), or does the route collapse to the saturated nonnegative variance wall?

Current local decision:

The standard L2, signed-weight, minorant-geometry, and ratio-large-sieve pivots all return to the same one-R-match variance wall in the documented architecture. The public package should be presented as an obstruction map unless a new pre-L2 mechanism is supplied.

Publication Readiness

Ready for homepage draft review as an open-problem map.

Not yet ready as a formal paper without:

• completing the formalization tasks in PAPERIZATION_CHECKLIST.md.