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Newton steps", "v7.11 stage 0 initialization and initial residual evaluation at tau=0.47878124999999977 from the immutable v7.10 Stage 0 HARD PASS", "v7.11 stage 0 direct active-tau terminal diagnostics and HARD PASS classification with zero Newton steps", "v7.12 stage 0 initialization and initial residual evaluation at tau=0.4787812499999999 from the immutable v7.11 Stage 0 HARD PASS", "v7.12 stage 0 direct active-tau terminal diagnostics and HARD PASS classification with zero Newton steps", "v7.13 stage 0 initialization and initial residual evaluation at tau=0.47878124999999994 from the immutable v7.12 Stage 0 HARD PASS", "v7.13 stage 0 direct active-tau terminal diagnostics and HARD PASS classification with zero Newton steps", "v7.13 Float64-adjacent crossing-resolution decision and recursive schedule completion" ], "resume_rule": "The v7.13 Stage 0 terminal HARD PASS and Float64 crossing-resolution result already exist. Do not repeat the v7.13 initialization, initial residual evaluation, terminal diagnostics, classification, or resolution decision; no Newton/GMRES step ran. The v7.13 HARD PASS binary value 0.47878124999999994 and v6.74 NONPASS binary value 0.47878125 are adjacent, and the next exact midpoint rounds to the NONPASS. The recursive schedule is complete; do not create v7.14 or run another solver command without an explicitly approved numerical-representation change.", "crossing_bracket": { "hard_pass_version": "v7.13", "hard_pass_tau": 0.47878124999999994315658113919198513031005859375, "nonpass_version": "v6.74", "nonpass_tau": 0.47878125, "exact_width": "5.684341886080801486968994140625e-17", "binary_width": 5.551115123125783e-17, "next_midpoint_exact": "0.478781249999999971578290569595992565155029296875", "next_midpoint_binary": 0.47878125, "next_midpoint_equals_nonpass_binary": true, "binary_endpoints_adjacent": true, "schedule_complete": true }, "crossing_resolution": { "status": "schedule_complete_float64_resolution", "artifact": "CROSSING_RESOLUTION_RESULT_v7_13.json", "artifact_sha256": "87f899702f5d46abb2cf26affad67946a6fd8140b67402b2f23bf984afba098f", "further_float64_bisection_forbidden": true }, "publication_work": { "version": "publication-audit-master-draft-v1.0-2026-08-30", "status": "controlled_master_draft_complete_not_submission_ready", "numerical_line_reopened": false, "solver_started": false, "internal_claims_frozen": true, "external_literature_scope": "context_and_constraints_only_no_model_changes", "artifacts": { "claims_register": { "path": "/Apeiron/PUBLICATION/APEIRON_PUBLICATION_CLAIMS_REGISTER_LATEST.md", "sha256": "e6418a8053e1fc3b540a53db2c8737490784b8aca119c8332da22edf8cc5911a", "status": "completed" }, "master_manuscript": { "path": "/Apeiron/PUBLICATION/APEIRON_MANUSCRIPT_LATEST.md", "sha256": "fb84de6b849c3036f1209bbd90c7eb7cdcc45c5dc231941489a0068bafb5f1fa", "status": "complete_controlled_draft" }, "gap_report": { "path": "/Apeiron/PUBLICATION/APEIRON_PUBLICATION_GAP_REPORT_LATEST.md", "sha256": "eec1cf7315aacb019ce92dab7c314941140ddb6964b0ae49f7e2840a770af1a5", "status": "completed" }, "publication_meta": { "path": "/Apeiron/PUBLICATION/APEIRON_PUBLICATION_META_LATEST.json", "sha256": "7f926c6b8d5b01b2f08ae757c17a5c219fff66f613576cf913f88a364e42fd1e", "status": "completed" }, "milestone_dossier_pdf": { "path": "/Apeiron/PUBLICATION/APEIRON_PUBLICATION_MASTER_DOSSIER_LATEST.pdf", "sha256": "4d5663ceb81850cd9aec203e7e0b4f861f48ad192321c4a391575de083e96a07", "pages": 22, "format": "A4", "visual_qa": "passed" }, "dossier_builder": { "path": "/Apeiron/PUBLICATION/build_publication_dossier.py", "sha256": "77b2ab23852f5c956e66dc607ade9df464c1243bb05114bb897ab43e246c7e0f", "status": "completed" } }, "completed_packages": [ "internal claims audit and 31-claim freeze", "venue-neutral English master manuscript sections 1 through 12", "primary-source literature context", "traffic-light publication gap audit", "terminology and overclaim audit", "22-page rendered and visually verified milestone dossier" ], "red_documentary_blockers": [ "R-01 canonical action, equations, degrees of freedom, units, signs, and conventions absent from controlled latest package", "R-02 exact immutable v7.13 gate definitions and tolerances not individually resolvable", "R-03 hash-referenced v7.13 result, state, crossing artifacts and read-only verification route not individually resolvable" ], "prediction_program_status": { "appendix_a": "prospective_only_not_part_of_v7_13_hard_pass", "ap1": "not_derived_not_required_for_first_numerical_foundations_paper", "ap2": "not_derived_follow_up", "ap3": "not_derived_follow_up", "empirical_pass_claimed": false }, "resume_rule": "Read only the two authoritative latest handoff files, the four publication latest files, and Appendix A. Resolve R-01 through R-03 from authoritative latest sources only. Do not load history, infer missing tolerances, reconstruct equations from older versions, start AP1 physics, or rerun v7.13." }, "publication_work_latest": { "supersedes_legacy_publication_work_key": true, "version": "publication-red-documentary-blockers-closed-v1.1-2026-08-30", "status": "technical_core_ready_for_controlled_preprint_packaging_journal_admin_and_venue_work_open", "numerical_line_reopened": false, "solver_started": false, "physical_map_executed": false, "read_only_verifier_status": "APEIRON_PUBLICATION_PACKAGE_VERIFY_PASS", "public_download_site": { "status": "deployed", "url": "https://apeiron-publication-files.info523741.chatgpt.site", "file_count": 15, "scope": "public_file_distribution_only_not_peer_review_or_doi_publication" }, "documentary_blockers": { "R-01": "closed_by_canonical_operational_model_specification", "R-02": "closed_by_exact_v7_13_gate_specification", "R-03": "closed_by_hash_manifest_individual_artifacts_and_read_only_verifier" }, "artifacts": { "claims_register": { "path": "/Apeiron/PUBLICATION/APEIRON_PUBLICATION_CLAIMS_REGISTER_LATEST.md", "sha256": "ef17d6be90ff1a59de7fbe7a6172c4115a142601512302acf7bd9bf44076ccf6" }, "master_manuscript": { "path": "/Apeiron/PUBLICATION/APEIRON_MANUSCRIPT_LATEST.md", "sha256": "4559aa3ee8cffae41407290024084bf706667275b1387a56ee48d7bb727eccc9" }, "gap_report": { "path": "/Apeiron/PUBLICATION/APEIRON_PUBLICATION_GAP_REPORT_LATEST.md", "sha256": "8afb602eddcf46eadb9ce8841d91f80449c257d70a9bd29818cb40d2ac19bc31" }, "canonical_model_specification": { "path": "/Apeiron/PUBLICATION/APEIRON_CANONICAL_MODEL_SPECIFICATION_LATEST.md", "sha256": "9f9fa5454e7e298c7344a240db6672644335302f8459fb59c74c30bb82c897e4" }, "v7_13_gate_specification": { "path": "/Apeiron/PUBLICATION/APEIRON_V7_13_GATE_SPECIFICATION_LATEST.json", "sha256": "64e44a228e856814b66c129ce7fe741797b8cbe75756b684c582827bd72f71de" }, "reproducibility_manifest": { "path": "/Apeiron/PUBLICATION/APEIRON_REPRODUCIBILITY_MANIFEST_LATEST.json", "sha256": "eb5475e0f327d340b8f33d1b4b3ea00af9a779a9a4a241a20f886184d44cdec1" }, "read_only_verifier": { "path": "/Apeiron/PUBLICATION/verify_apeiron_publication_package.py", "sha256": "c38987a13adccbab3402c126cf92cb18371b383e5e499589e5810c15f88f8d1a" }, "reproducibility_package": { "path": "/Apeiron/PUBLICATION/APEIRON_PUBLICATION_REPRODUCIBILITY_PACKAGE_LATEST.zip", "sha256": "801f19dc26808184ccf4dfa33dd5429831c42fdba0b2048d16fd7c50b6ae0ac2", "archive_test": "passed", "extracted_verifier": "passed" }, "milestone_dossier": { "path": "/Apeiron/PUBLICATION/APEIRON_PUBLICATION_MASTER_DOSSIER_LATEST.pdf", "sha256": "75b7d1c5688776cfadf1193dea578beca76e1d190f850b8d2b5a14f0f1526c3f", "pages": 27, "visual_qa": "passed" }, "dossier_builder": { "path": "/Apeiron/PUBLICATION/build_publication_dossier.py", "sha256": "40acae5ef7ccba6c22a627091a13e1624d802eeb0982b3fecdfb590d6a5a40a2" } }, "remaining_yellow": [ "authorship affiliation corresponding author and declarations", "permanent repository identifier and license", "venue choice and venue-specific formatting", "figures and final language edit" ], "remaining_orange": [ "fundamental covariant completion", "continuum convergence", "independent implementation reproduction", "perturbations and observational mappings" ], "remaining_red_claim_exclusions": [ "no empirical proof or confirmation", "no exact physical-boundary claim from binary64", "no fabricated AP1 through AP3 results", "no independent reproduction claim", "no proven fundamental action claim" ], "resume_rule": "Read only the two Latest handoffs, publication Latest files explicitly listed here, the tested reproducibility package when technical verification is needed, and Appendix A. Do not reopen v7.13. The next permitted work is editorial, archival, figure, or venue preparation; AP1 through AP3 remain follow-up physics." }, "checkpoint_policy": { "intermediate_gmres": [ "CURRENT_STATE_LATEST.npz", "MASTER_RECOVERY_STATE_LATEST.json", "CURRENT_META_LATEST.json" ], "accepted_newton_or_terminal": "also update START_HERE_APEIRON_LATEST.md and CURRENT_PROJECT_STATE_LATEST.json", "full_bundle": "only at schedule completion, checkpoint corruption, or explicitly requested archival transfer; method changes use immutable decision artifacts plus a refreshed fast runtime", "normal_chat_transfer": "fast runtime capsule plus the three latest state files" }, "fallback_rule": "Only if the final v7.13 checkpoint fails integrity verification, use the documented hash-verified v7.12 HARD PASS fallback to reconstruct v7.13; otherwise use the immutable v7.13 result, solution, gate register, and crossing-resolution artifact directly. Never source from v6.74, v6.73, v6.72, or any earlier NONPASS.", "scientific_constraints": { "frozen_schedule": [ 0.47878124999999994315658113919198513031005859375, 0.47878125, 0.4788125, 0.478875, 0.479, 0.4792899909147039 ], "max_newton_steps_per_stage": 6, "gate_relaxation_forbidden": true, "budget_relaxation_forbidden": true, "accepted_result_recomputation_forbidden": true } }