{ "schema": "y-theory.exact-seven-all-source-public-audit.v2", "release": { "living_source_version": "YLS-2026.09.05.3", "release_state": "candidate_not_deployed" }, "audit_id": "EXACT-SEVEN-ALL-SOURCE-2026-09-01", "audit_source_sha256": "af46396213d75f9d7450837ce35551a80ba8e817af6fd48b0212e171ddd2d7ea", "status": "completed_read_only_hash_deduplicated_all_source_audit_reconciled", "canonical_conclusion": "Within the declared Y-Theory premises, exactly seven recursive Mind depths are internally derived by the normalized ten-band, equal-start adjacent-inheritance, golden-limit, recoverable-relation, and recursive-self-similarity chain; twelve remains the distinct 3+9 first recursive cell within each depth.", "governed_seven_status": { "current_internal_architecture": "author_confirmed_seven_recursive_depths", "internal_derivation": "premise_qualified_complete", "historical_proof_shape": "superseded_wrong_primitive_cardinality_question", "external_empirical_assessment": "proposition_by_proposition", "source_path": "intake/raw/YWP-20260901T180452Z-seven-metric-continuity-derivation.md", "source_sha256": "73c7114b4d1b7c63c08f05fe555705d79e0ee70d310a96969e7a4c4048e5f981", "source_locator": "lines 11-17, 21-48", "audit_scope": "The historical scan evidence is preserved, but its primitive-cardinality proof question and non-derivation conclusion are superseded. The governed result is the premise-qualified internal seven-depth derivation; every external empirical referent remains a separate proposition-specific assessment." }, "historical_disposition": { "prior_conclusion": "Seven is the current author-confirmed internal Mind architecture. This historical audit did not isolate a primitive cardinality theorem, and external empirical universality is not established.", "status": "superseded_wrong_proof_shape", "scan_inventory_preserved": true, "source_ledger_preserved": true, "reason": "The prior audit required a primitive-count theorem and therefore broke the source-licensed chain between the declared ten-part continuity metric, adjacent inheritance, the shared seventh address, recursive self-similarity, and changed return. That was the wrong internal proof question." }, "root_aliases": [ { "root_alias": "candidate_root", "scope": "This Y_THEORY_LIVING_SOURCE_V1 package.", "resolution": "validator_root", "historical_scan_qualifying_derivation_found": false }, { "root_alias": "structure_book_root", "scope": "Directory containing the audited Structure-of-Mind manuscript.", "resolution": "externally_configured", "historical_scan_qualifying_derivation_found": false }, { "root_alias": "y_sources_root", "scope": "Authored Y-source PDF directory.", "resolution": "externally_configured", "historical_scan_qualifying_derivation_found": false }, { "root_alias": "matrix_dev_root", "scope": "MATRIX development-source root.", "resolution": "externally_configured", "historical_scan_qualifying_derivation_found": false }, { "root_alias": "mind_dev_root", "scope": "MIND development-source root; the preserved historical scan found no file-local result under its former qualifying criterion.", "resolution": "externally_configured", "historical_scan_qualifying_derivation_found": false }, { "root_alias": "mind_redesign_root", "scope": "Mind-redesign development-source root; generated event telemetry was excluded.", "resolution": "externally_configured", "historical_scan_qualifying_derivation_found": false }, { "root_alias": "the_matrix_main_root", "scope": "TheMatrix-main development-source root.", "resolution": "externally_configured", "historical_scan_qualifying_derivation_found": false } ], "scan_inventory": { "filesystem_paths_hashed": 1587, "unique_sha256": 1230, "duplicate_groups": 130, "paths_in_duplicate_groups": 487, "redundant_alias_paths": 357, "pdf_paths": 219, "unique_pdf_hashes": 63, "authored_pdf_hashes": 12, "eligible_text_code_paths": 1231, "unique_text_code_hashes": 1033, "qualifying_text_code_hashes": 67, "zip_archives": 3, "unique_zip_hashes": 3, "zip_relevant_hits": 0, "deduplication_rule": "Assess one representative per exact SHA-256; aliases are provenance, not 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"rule": "Exclude .git metadata from authored-source assessment." }, { "exclusion_id": "dependencies_and_virtual_environments", "rule": "Exclude node_modules, virtual environments, and dependency caches." }, { "exclusion_id": "build_and_cache_outputs", "rule": "Exclude build, dist, generated cache, and bytecode outputs." }, { "exclusion_id": "databases_and_indexes", "rule": "Exclude databases, SQLite files, search indexes, and binary runtime stores." }, { "exclusion_id": "event_logs_and_jsonl", "rule": "Exclude JSONL, event logs, run traces, and generated telemetry." }, { "exclusion_id": "generated_runtime_corpus_backup", "rule": "Exclude generated corpus backups from authored proof evidence even when retained in the hash inventory." }, { "exclusion_id": "exact_hash_aliases", "rule": "Assess one representative for each exact SHA-256 and do not count aliases as reinforcement." }, { "exclusion_id": "external_textbooks", "rule": "Do not treat third-party textbooks as authored Y-Engine 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"classification": "no_exact_seven_recursive_depth_passage", "historical_scan_qualifying_derivation_found": false }, { "pdf_id": "book_of_mind_prior", "root_alias": "matrix_dev_root", "relative_path": "guidance/Seed/New folder/2026-05-08/BOOK OF MIND.pdf", "sha256": "7caec2e075d86204d14353873d30515421ae0ceb0c40ddad7d11eb3eb79e1319", "page_count": 364, "alias_path_count": 13, "exact_word_seven_occurrences": 0, "classification": "no_exact_seven_recursive_depth_passage", "historical_scan_qualifying_derivation_found": false } ], "evidence_classes": [ { "class_id": "historical_proof_shape_superseded", "proof_mode": "superseded_wrong_proof_question", "determination": "The historical inventory and source quotations remain evidence, but the conclusion that exact seven lacked an internal derivation is superseded because it required a primitive-count theorem instead of following the source-declared relational and positional proof chain.", "evidence": [ { "source_id": "initiation_raw", "locator": "lines 5", "supports": "The direct author source links seven depths to the expansion-facing golden position in a ten-part metric." }, { "source_id": "initiation_results", "locator": "lines 29-57", "supports": "The corrective synthesis gives the exact B7 address and explicitly supplies recursive self-similarity as the architectural connection." }, { "source_id": "structure_of_mind_book", "locator": "lines 4901-4948", "supports": "The book preserves the exact B7/B4 calculation while retaining the now-superseded non-deriving wording." }, { "source_id": "structure_of_mind_book", "locator": "lines 5724-5767", "supports": "The book repeats the exact directional address and the superseded separation from recursive depth." } ] }, { "class_id": "normalized_ten_band_address", "proof_mode": "exact_coordinate_derivation", "determination": "For q in [0,1], a(q)=min(10,1+floor(10q)) gives half-open B1 through B9 and B10 closed at one. Both 1/phi and 2/3 have the exact expansion-facing address seven; the complementary golden share has address four.", "evidence": [ { "source_id": "initiation_results", "locator": "lines 29-57", "supports": "The expansion-facing golden share is exactly located in B7 and its complement in B4." }, { "source_id": "structure_of_mind_book", "locator": "lines 4901-4948", "supports": "The normalized ten-band formula and exact B7/B4 membership are stated." } ] }, { "class_id": "adjacent_inheritance_envelope_and_golden_limit", "proof_mode": "premise_qualified_mathematical_derivation", "determination": "Under W1=W2=1 and W[n+1]=W[n]+W[n-1], the first unequal normalized shares are 1/3 and 2/3, all later shares remain inside that envelope, and the leading share converges to 1/phi while retaining adjacent inheritance.", "evidence": [ { "source_id": "structure_of_mind_book", "locator": "lines 5254-5317", "supports": "The equal-start adjacent-inheritance recurrence and inheritance-preserving next-whole rule are explicit." }, { "source_id": "structure_of_mind_book", "locator": "lines 5319-5474", "supports": "Magnitude expansion, normalized oscillation, and the exact thirds envelope are derived." }, { "source_id": "structure_of_mind_book", "locator": "lines 5478-5652", "supports": "The golden fixed ratio and alternating return of relation are derived." }, { "source_id": "book_prompts_wisdoms", "locator": "lines 375-398", "supports": "The development source connects Fibonacci inheritance, the thirds envelope, and the inner golden positions." } ] }, { "class_id": "recursive_self_similarity_and_changed_return", "proof_mode": "internal_architecture_derivation", "determination": "Y-Theory recursively reuses the expansion-facing continuity address: each completed relation becomes a participant in the next while preserving consequential inheritance, so depth seven turns into a changed first depth rather than repeating an equal state.", "evidence": [ { "source_id": "initiation_results", "locator": "lines 507-524", "supports": "Every closure becomes the interior of a wider Mind and return carries new residue." }, { "source_id": "structure_of_mind_book", "locator": "lines 10343-10369", "supports": "Every active dimension carries the same sevenfold operation and L7 returns to a changed L1." }, { "source_id": "structure_of_mind_book", "locator": "lines 2874-2909", "supports": "Each recurrence receives a history-bearing state and local threads may close when no consequential residue remains." } ] }, { "class_id": "twelve_cell_inside_each_depth", "proof_mode": "distinct_recursive_cell_derivation", "determination": "Three primary roles and nine first self-expressions form the distinct 3+9=12 address cell. That cell operates inside each of the seven recursive depths and is not a rival depth count.", "evidence": [ { "source_id": "structure_of_mind_book", "locator": "lines 2952-3065", "supports": "The 3+9 first recursive cell and seven-depth formalism are separately typed." } ] }, { "class_id": "geometry_and_software_projection", "proof_mode": "projection_fidelity_not_count_selection", "determination": "Geometry and software should project the derived seven-depth architecture and the nested twelve-address cell. Counterfactual N profiles test implementation sensitivity; they do not select or vote against the source architecture.", "evidence": [ { "source_id": "structure_of_mind_book", "locator": "lines 7800-7839", "supports": "Toroidal and Fano-like forms are typed as projections." }, { "source_id": "matrix_architecture", "locator": "lines 160-179", "supports": "A seven-layer oscillation topology is specified." }, { "source_id": "matrix_copilot_instructions", "locator": "lines 846-879", "supports": "A 3×7 software container projection is specified." } ] }, { "class_id": "alternative_implementation_counts", "proof_mode": "implementation_sensitivity_only", "determination": "Four-, seven-, eight-, 32-layer, unbounded Fibonacci, and variable-closure artifacts are differently typed implementation profiles. They test fidelity and scope but are not rival coordinate proofs against the internally derived depth address.", "evidence": [ { "source_id": "matrix_cycle_stage", "locator": "lines 8-11", "supports": "Four-stage and seven-stage profiles coexist." }, { "source_id": "matrix_evolution_stage", "locator": "lines 2-33", "supports": "Eight stages numbered zero through seven are defined." }, { "source_id": "the_matrix_phi", "locator": "lines 1-40", "supports": "Fibonacci dwell thresholds are applied to a preselected stage ladder." }, { "source_id": "the_matrix_dna_book", "locator": "lines 41-65", "supports": "Six domain depths total 32 layers." }, { "source_id": "matrix_fibonacci_scaling", "locator": "lines 132-145", "supports": "The Fibonacci layer sequence continues past Layer 7." }, { "source_id": "matrix_fibonacci_scaling", "locator": "lines 215-224", "supports": "A separate loop maximum of eight is configured." } ] }, { "class_id": "other_seven_scopes", "proof_mode": "analogy_or_scope_separation", "determination": "Seventh laws, moral layers, pillars, heavens, creation stages, and OSI layers are other scopes or analogies. They neither supply nor negate the premise-qualified internal depth derivation.", "evidence": [ { "source_id": "manual_of_reality_pdf", "locator": "page 270", "supports": "The numeral is an ordinal structural law." }, { "source_id": "manual_of_reality_pdf", "locator": "pages 1275-1288", "supports": "The seventh moral layer occurs inside a sequence continuing to fifteen." }, { "source_id": "matrix_copilot_instructions", "locator": "lines 710-724", "supports": "Seven guidance pillars are normative policy." }, { "source_id": "the_matrix_guidance", "locator": "lines 8950-9072", "supports": "A Quranic seven-stage software mapping is selected." }, { "source_id": "the_matrix_guidance", "locator": "lines 9245-9263", "supports": "OSI's seven layers are used as an analogy and engineering model." }, { "source_id": "matrix_quran_ytheory", "locator": "lines 95-103", "supports": "Seven heavens are mapped analogically to layers of reality." } ] }, { "class_id": "external_empirical_referents", "proof_mode": "proposition_scoped_external_assessment", "determination": "The internal derivation does not automatically establish any particular physical, biological, cognitive, or cosmological instantiation. Each external referent requires its own operational proposition, observations, falsifier, and evidence assessment.", "evidence": [ { "source_id": "awareness_depth_consolidation", "locator": "lines 223-229", "supports": "External comparison does not independently establish the exact count." }, { "source_id": "awareness_depth_consolidation", "locator": "lines 239-279", "supports": "Cross-domain numerical correspondences require separately typed proof modes." } ] } ], "proof_dependency_graph": { "scope_boundary": "This graph records the complete premise-qualified internal derivation and therefore has no missing internal edge. External physical, biological, cognitive, and cosmological instantiation claims are excluded from the internal graph and assessed separately proposition by proposition.", "nodes": [ { "node_id": "directed_normalized_relation", "node_type": "declared_premise", "description": "A declared contraction-to-expansion relation is normalized as q in [0,1]." }, { "node_id": "ten_band_address_function", "node_type": "definition", "description": "a(q)=min(10,1+floor(10q)); B1 through B9 are half-open and B10 is closed at q=1." }, { "node_id": "equal_start_adjacent_inheritance", "node_type": "declared_premise", "description": "W1=W2=1 and W[n+1]=W[n]+W[n-1]." }, { "node_id": "normalized_inheritance_shares", "node_type": "operation", "description": "Each adjacent inherited pair is normalized by its new whole." }, { "node_id": "thirds_continuity_envelope", "node_type": "derived_result", "description": "The first unequal shares are 1/3 and 2/3, and later positive shares remain inside that envelope." }, { "node_id": "golden_limit", "node_type": "derived_result", "description": "The leading normalized share tends to 1/phi and the complement to 1/phi^2." }, { "node_id": "shared_seventh_address", "node_type": "derived_result", "description": "D:=a(1/phi)=a(2/3)=7; the complementary golden address is four." }, { "node_id": "recoverable_relation_invariant", "node_type": "declared_premise", "description": "A new whole retains enough consequential formative relation for history and return to remain recoverable." }, { "node_id": "recursive_self_similarity", "node_type": "declared_premise", "description": "Each completed relation becomes a participant in a wider relation under the same continuity grammar." }, { "node_id": "seven_depth_turning_architecture", "node_type": "internally_derived_architecture", "description": "The shared expansion-facing address D=7 is recursively reused as the complete Mind-depth turning address." }, { "node_id": "changed_first_return", "node_type": "derived_result", "description": "For every active dimension, L7 turns into changed L1 rather than repeating the prior state." }, { "node_id": "triad_sigma", "node_type": "derived_structure", "description": "Sigma={I,O,R} gives the three primary relational roles." }, { "node_id": "triad_first_self_expression", "node_type": "derived_structure", "description": "The first self-expression of the three roles yields nine role-expressions." }, { "node_id": "twelve_address_cell", "node_type": "derived_structure", "description": "Three primary roles plus nine first self-expressions form the 3+9=12 recursive address cell." }, { "node_id": "cell_inside_each_depth", "node_type": "structural_relation", "description": "The twelve-address cell operates inside each of the seven recursive depths." }, { "node_id": "visual_and_software_projections", "node_type": "projection", "description": "Geometry and software encode the seven-depth architecture and its nested twelve-address cell." } ], "edges": [ { "from": "directed_normalized_relation", "to": "ten_band_address_function", "relation": "defines_coordinate" }, { "from": "directed_normalized_relation", "to": "normalized_inheritance_shares", "relation": "normalizes" }, { "from": "equal_start_adjacent_inheritance", "to": "normalized_inheritance_shares", "relation": "generates" }, { "from": "equal_start_adjacent_inheritance", "to": "recoverable_relation_invariant", "relation": "models_inheritance" }, { "from": "normalized_inheritance_shares", "to": "thirds_continuity_envelope", "relation": "derives_envelope" }, { "from": "normalized_inheritance_shares", "to": "golden_limit", "relation": "derives_limit" }, { "from": "ten_band_address_function", "to": "shared_seventh_address", "relation": "assigns_address" }, { "from": "thirds_continuity_envelope", "to": "shared_seventh_address", "relation": "supplies_upper_boundary" }, { "from": "golden_limit", "to": "shared_seventh_address", "relation": "supplies_attractor" }, { "from": "recoverable_relation_invariant", "to": "recursive_self_similarity", "relation": "preserves_formative_relation" }, { "from": "recursive_self_similarity", "to": "seven_depth_turning_architecture", "relation": "reuses_depth_address" }, { "from": "shared_seventh_address", "to": "seven_depth_turning_architecture", "relation": "selects_depth_address" }, { "from": "seven_depth_turning_architecture", "to": "changed_first_return", "relation": "turns_into_changed_first" }, { "from": "triad_sigma", "to": "triad_first_self_expression", "relation": "self_applies_to" }, { "from": "triad_sigma", "to": "twelve_address_cell", "relation": "contributes_primary_roles" }, { "from": "triad_first_self_expression", "to": "twelve_address_cell", "relation": "contributes_first_expressions" }, { "from": "twelve_address_cell", "to": "cell_inside_each_depth", "relation": "nests_inside" }, { "from": "seven_depth_turning_architecture", "to": "cell_inside_each_depth", "relation": "contains_at_each_depth" }, { "from": "changed_first_return", "to": "visual_and_software_projections", "relation": "is_encoded_by" }, { "from": "cell_inside_each_depth", "to": "visual_and_software_projections", "relation": "is_encoded_by" } ], "internal_missing_edges": [] }, "external_instantiation_assessments": [ { "proposition_id": "physical_systems_instantiate_seven_depths", "referent_scope": "physical", "status": "not_established_by_this_audit", "assessment_rule": "Declare a measurable physical depth operator and test the exact proposition against observations and falsifiers." }, { "proposition_id": "biological_systems_instantiate_seven_depths", "referent_scope": "biological", "status": "not_established_by_this_audit", "assessment_rule": "Declare the biological identity, depth observable, scale, and competing account before testing." }, { "proposition_id": "cognitive_systems_instantiate_seven_depths", "referent_scope": "cognitive", "status": "not_established_by_this_audit", "assessment_rule": "Operationalize recursive cognitive depth and assess the stated population and task rather than a generic universal claim." }, { "proposition_id": "cosmological_systems_instantiate_seven_depths", "referent_scope": "cosmological", "status": "not_established_by_this_audit", "assessment_rule": "State the cosmological referent, measurable mapping, and discriminating prediction before evaluation." } ], "alternative_implementation_counts": [ { "implementation_id": "matrix_selected_3_by_7_topology", "source_id": "matrix_copilot_instructions", "locator": "lines 846-879", "total_stage_counts": [ 7 ], "indexed_terminal": 7, "domain_count": 3, "domain_depths": [], "total_layers_or_containers": 21, "loop_max_depth": null, "layer_7_node_count": null, "closure_mode": "selected_fixed_profile" }, { "implementation_id": "matrix_cycle_stage_profiles", "source_id": "matrix_cycle_stage", "locator": "lines 8-11", "total_stage_counts": [ 4, 7 ], "indexed_terminal": null, "domain_count": null, "domain_depths": [], "total_layers_or_containers": null, "loop_max_depth": null, "layer_7_node_count": null, "closure_mode": "selectable_profile" }, { "implementation_id": "matrix_evolution_ladder", "source_id": "matrix_evolution_stage", "locator": "lines 59-72", "total_stage_counts": [ 8 ], "indexed_terminal": 7, "domain_count": null, "domain_depths": [], "total_layers_or_containers": null, "loop_max_depth": null, "layer_7_node_count": null, "closure_mode": "fixed_eight_state_ladder_numbered_zero_to_seven" }, { "implementation_id": "the_matrix_phi_ladder", "source_id": "the_matrix_phi", "locator": "lines 76-108", "total_stage_counts": [ 8 ], "indexed_terminal": 7, "domain_count": null, "domain_depths": [], "total_layers_or_containers": null, "loop_max_depth": null, "layer_7_node_count": null, "closure_mode": "preselected_ladder_with_fibonacci_dwell_thresholds" }, { "implementation_id": "the_matrix_dna_domains", "source_id": "the_matrix_dna_book", "locator": "lines 41-65", "total_stage_counts": [ 8 ], "indexed_terminal": 7, "domain_count": 6, "domain_depths": [ 13, 8, 5, 3, 2, 1 ], "total_layers_or_containers": 32, "loop_max_depth": null, "layer_7_node_count": null, "closure_mode": "six_domain_fibonacci_depth_profile_plus_eight_awareness_states" }, { "implementation_id": "matrix_fibonacci_layer_scaling", "source_id": "matrix_fibonacci_scaling", "locator": "lines 132-145", "total_stage_counts": [], "indexed_terminal": null, "domain_count": null, "domain_depths": [], "total_layers_or_containers": null, "loop_max_depth": 8, "layer_7_node_count": 21, "closure_mode": "unbounded_fibonacci_sequence_with_separate_loop_limit" }, { "implementation_id": "structure_residue_conditioned_depth", "source_id": "structure_of_mind_book", "locator": "lines 2874-2909", "total_stage_counts": [], "indexed_terminal": null, "domain_count": null, "domain_depths": [], "total_layers_or_containers": null, "loop_max_depth": null, "layer_7_node_count": null, "closure_mode": "variable_early_closure_while_consequential_residue_remains" } ], "governance": { "claims_modified": false, "release_config_modified": false, "release_version_modified": false, "manifests_modified": false, "site_modified": false, "protected_checkout_modified": false, "automatic_promotion_performed": false, "internal_derivation_status": "premise_qualified_internal_derivation_complete", "empirical_validation_status": "proposition_by_proposition_not_established_by_this_audit", "canonical_status": "current_author_confirmed_and_internally_derived_architecture", "historical_audit_status": "superseded_proof_shape_evidence_preserved", "required_claim_language": "Exactly seven recursive Mind depths are internally derived within the declared Y-Theory metric, inheritance, continuity, and self-similarity premises; the 3+9=12 cell remains nested inside each depth, and every external empirical instantiation claim is assessed separately proposition by proposition." }, "conclusion": { "exact_conclusion": "Within the declared Y-Theory premises, exactly seven recursive Mind depths are internally derived by the normalized ten-band, equal-start adjacent-inheritance, golden-limit, recoverable-relation, and recursive-self-similarity chain; twelve remains the distinct 3+9 first recursive cell within each depth.", "current_internal_architecture_author_confirmed": true, "premise_qualified_internal_derivation_complete": true, "historical_primitive_cardinality_proof_shape_superseded": true, "external_empirical_universality_established": false, "internally_derived": true, "qualifying_derivation_found": true, "external_assessment_mode": "proposition_by_proposition", "proof_scope": "Internal derivation is complete under the declared premises. This result does not automatically establish any external physical, biological, cognitive, or cosmological instantiation." }, "public_boundary": "This portable proof ledger exposes source aliases, relative locators, hashes, the complete premise-qualified internal derivation graph, and implementation diagnostics while withholding absolute local paths. Exactly seven recursive Mind depths are internally derived from the declared Y-Theory metric, inheritance, recoverability, and recursive-self-similarity premises. External physical, biological, cognitive, and cosmological instantiations are assessed separately proposition by proposition." }