# 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`.