{
  "schema_version": "1.0.0",
  "living_source_version": "YLS-2026.08.31.6",
  "title": "Y Engine Formation Sequence",
  "purpose": "A source-linked dependency graph separating recursive Mind-structure, relational identity formation, spatial manifestation, local observer/cognitive capability, and geometric representation.",
  "governing_rule": "A later label is earned only when every dependency and gate declared for it has been demonstrated at the named identity, scale, variable, reference, and resolution.",
  "tracks": {
    "relational_identity": [
      "source_possibility",
      "living_triad",
      "manifested_expression",
      "residue_linked_path",
      "bounded_return",
      "identity_wave",
      "nested_identity",
      "dimension"
    ],
    "spatial_manifestation": [
      "compatible_dimensions",
      "relational_arena",
      "space",
      "position",
      "position_change",
      "physical_time",
      "bounded_recurrence",
      "phase",
      "oscillation",
      "vibration",
      "localized_standing_recurrence",
      "nodal_projection"
    ],
    "local_cognitive_capability": [
      "residue",
      "trace",
      "functional_memory",
      "local_comparison",
      "whole_integration",
      "observation",
      "observer_return",
      "local_cognitive_capability"
    ],
    "geometry": [
      "circle_representation",
      "wave_representation",
      "spiral_representation",
      "helix_representation",
      "toroidal_representation",
      "flower_of_life_representation"
    ]
  },
  "stages": [
    {
      "id": "source_possibility",
      "label": "Source possibility",
      "track": "relational_identity",
      "depends_on": [],
      "earned_when": "Coherent relations are permitted without treating them as a travelled sequence or spatial container.",
      "status": "canonical distinction",
      "sources": [
        "source_snapshot/CHAPTER_07_SOURCE_AND_ORDERED_MANIFESTATION_REPAIRED(4).md#Source is not an earlier event",
        "source_snapshot/CHAPTER_07_SOURCE_AND_ORDERED_MANIFESTATION_REPAIRED(4).md#Possibility has a topology"
      ],
      "guardrail": "Source is not a lattice, place, earlier time, temporal wave, or completed observer."
    },
    {
      "id": "living_triad",
      "label": "Living triad / state-identity",
      "track": "relational_identity",
      "depends_on": ["source_possibility"],
      "earned_when": "One differentiation expresses two non-identical polar roles and the relation that preserves their difference and belonging.",
      "status": "canonical structural law",
      "sources": [
        "atlas/CANONICAL_CLAIM_REGISTRY.json#YT-CORE-002",
        "atlas/CANONICAL_CLAIM_REGISTRY.json#YT-CORE-003"
      ],
      "guardrail": "Inside, outside, and relation are roles of one change, not three unrelated objects; the whole is not a fourth primitive."
    },
    {
      "id": "manifested_expression",
      "label": "Compatible manifested expression",
      "track": "relational_identity",
      "depends_on": ["living_triad"],
      "earned_when": "One compatible expression becomes situated and consequential; expression and consequence remain noncoincident through delay.",
      "status": "canonical operational law",
      "sources": [
        "source_snapshot/CHAPTER_03_THE_Y_ENGINE_REPAIRED(4).md#One possibility becomes situated",
        "source_snapshot/CHAPTER_03_THE_Y_ENGINE_REPAIRED(4).md#Delay turns expression into order"
      ],
      "guardrail": "Compatibility is not choice, and delay is ordinal separation before it is clock time."
    },
    {
      "id": "residue_linked_path",
      "label": "Residue-linked causal path",
      "track": "relational_identity",
      "depends_on": ["manifested_expression"],
      "earned_when": "A later state differs because the earlier occurrence left an active consequence carried as residue.",
      "status": "structural derivation",
      "sources": [
        "source_snapshot/CHAPTER_03_THE_Y_ENGINE_REPAIRED(4).md#Consequence returns as residue",
        "source_snapshot/CHAPTER_03_THE_Y_ENGINE_REPAIRED(4).md#How state-identities begin to form one path"
      ],
      "guardrail": "Residue supplies causal history; it is not automatically a trace, memory, observer, or identity."
    },
    {
      "id": "bounded_return",
      "label": "Bounded restoring return",
      "track": "relational_identity",
      "depends_on": ["residue_linked_path"],
      "earned_when": "Returned consequence renews enough of a recognizable relational form for another return while residue prevents exact repetition.",
      "status": "canonical structural synthesis",
      "sources": [
        "source_snapshot/CHAPTER_04_IDENTITY_AS_A_WAVE_REPAIRED(4).md#Delay allows a restoring return",
        "atlas/CANONICAL_CLAIM_REGISTRY.json#YT-CORE-007"
      ],
      "guardrail": "Delay alone, repetition alone, external driving alone, or a closed drawing alone does not establish self-maintaining return."
    },
    {
      "id": "identity_wave",
      "label": "Continuing identity-wave",
      "track": "relational_identity",
      "depends_on": ["bounded_return"],
      "earned_when": "New history-bearing states repeatedly renew one recognizable relational form within a bounded range.",
      "status": "canonical structural law",
      "sources": [
        "source_snapshot/CHAPTER_04_IDENTITY_AS_A_WAVE_REPAIRED(4).md#Every return produces a new state-identity",
        "atlas/CANONICAL_CLAIM_REGISTRY.json#YT-ID-001"
      ],
      "guardrail": "A sine curve, repeated value, amplitude threshold, or mode label does not prove one causal identity."
    },
    {
      "id": "nested_identity",
      "label": "Nested identity",
      "track": "relational_identity",
      "depends_on": ["identity_wave"],
      "earned_when": "A complete local identity presents a relational face within a wider relation whose own consequences return and renew while the participants remain distinguishable.",
      "status": "canonical structural derivation",
      "sources": [
        "source_snapshot/CHAPTER_05_IDENTITIES_WITHIN_IDENTITIES_REPAIRED(4).md#Relation is what creates the new depth",
        "atlas/CANONICAL_CLAIM_REGISTRY.json#YT-ID-002"
      ],
      "guardrail": "Containment, proximity, synchronization, or repeated lower-level updates do not establish a wider identity."
    },
    {
      "id": "dimension",
      "label": "Dimension",
      "track": "relational_identity",
      "depends_on": ["identity_wave"],
      "earned_when": "A way of varying is distinguishable, repeatably available, consequential, history-bearing, and non-redundant for the declared whole and resolution.",
      "status": "canonical definition",
      "sources": [
        "source_snapshot/CHAPTER_08_DIMENSIONS_AND_ATTRIBUTES_REPAIRED(4).md#When a relational mode becomes a dimension",
        "source_materials/manuals/manual-of-reality-latest.md#Chapter 30 — Dimension"
      ],
      "guardrail": "A coordinate, one value, a subdivision, or a requested dimension count does not create a dimension."
    },
    {
      "id": "compatible_dimensions",
      "label": "Compatible dimensional set",
      "track": "spatial_manifestation",
      "depends_on": ["dimension"],
      "earned_when": "Several stable modes remain jointly available, mutually constraining, distinguishable, and survivable.",
      "status": "canonical source reconstruction",
      "sources": [
        "source_materials/manuals/manual-of-reality-latest.md#Chapter 31 — Compatible Stable Modes"
      ],
      "guardrail": "Dimensions that survive alone may fail jointly; pairwise compatibility does not prove whole-set compatibility."
    },
    {
      "id": "relational_arena",
      "label": "Relational arena",
      "track": "spatial_manifestation",
      "depends_on": ["compatible_dimensions"],
      "earned_when": "The joint modes preserve direct access, separation, reachability, propagation grammar, relevant invariance, and ordered update as one continuing order.",
      "status": "canonical source reconstruction",
      "sources": [
        "source_materials/manuals/manual-of-reality-latest.md#Chapter 32 — Relational Arena"
      ],
      "guardrail": "A compatible list of modes is not yet a shared relational order."
    },
    {
      "id": "space",
      "label": "Space",
      "track": "spatial_manifestation",
      "depends_on": ["relational_arena"],
      "earned_when": "The arena becomes a stable shared world supporting locality, separation, repeatable reachability, and continuing interaction.",
      "status": "recovered threshold; canonical chapter gap",
      "sources": [
        "source_materials/manuals/manual-of-reality-latest.md#Chapter 32 — Relational Arena",
        "source_materials/manuals/manual-of-reality-latest.md#33 - space --->>>>missing",
        "knowledge-dna/One_Source_Book/APPENDIX_RAW_RECOVERY_37H_SECTIONS.md#Space And Position-Change"
      ],
      "guardrail": "The current latest manual explicitly lacks Chapter 33. Space must not be treated as the original substrate or equated with a coordinate grid."
    },
    {
      "id": "position",
      "label": "Position",
      "track": "spatial_manifestation",
      "depends_on": ["space", "identity_wave"],
      "earned_when": "A continuing identity is present, findable, and interactable through a repeatable local relation while causal lineage remains continuous.",
      "status": "canonical source reconstruction",
      "sources": [
        "source_materials/manuals/manual-of-reality-latest.md#Chapter 34 — Position"
      ],
      "guardrail": "Coordinates represent position; they do not produce identity, lineage, or locality."
    },
    {
      "id": "position_change",
      "label": "Position-change",
      "track": "spatial_manifestation",
      "depends_on": ["position"],
      "earned_when": "The same causal identity becomes present through another permitted local relation by a connected passage that preserves recoverability.",
      "status": "canonical source reconstruction",
      "sources": [
        "source_materials/manuals/manual-of-reality-latest.md#Chapter 35 — Position-Change"
      ],
      "guardrail": "Coordinate reassignment or a similar copy elsewhere is not automatically the same identity moving."
    },
    {
      "id": "physical_time",
      "label": "Physical time",
      "track": "spatial_manifestation",
      "depends_on": ["position_change"],
      "earned_when": "A connected passage has followable before/after order and comparable intervals inside a declared clock domain.",
      "status": "canonical source reconstruction",
      "sources": [
        "source_materials/manuals/manual-of-reality-latest.md#Chapter 36 — Time"
      ],
      "guardrail": "Order is not duration, schedule is not cause, and a local clock is not a universal tick."
    },
    {
      "id": "bounded_recurrence",
      "label": "Bounded recurrence",
      "track": "spatial_manifestation",
      "depends_on": ["physical_time", "bounded_return"],
      "earned_when": "The same lineage repeatedly re-enters a compatible relational class before defining loss and the return route remains available again.",
      "status": "canonical source reconstruction",
      "sources": [
        "source_materials/manuals/manual-of-reality-latest.md#Chapter 37 — Bounded Recurrence"
      ],
      "guardrail": "One return, point-like closure, or similar appearance does not establish a repeatable cycle."
    },
    {
      "id": "phase",
      "label": "Phase",
      "track": "spatial_manifestation",
      "depends_on": ["bounded_recurrence"],
      "earned_when": "A declared recurrent process, reference, and current condition locate the process relative to completed return.",
      "status": "canonical source reconstruction",
      "sources": [
        "source_materials/manuals/manual-of-reality-latest.md#Chapter 38 — Phase"
      ],
      "guardrail": "Phase is not spatial position, residue, trace, memory, polarity, moral rank, or observerhood."
    },
    {
      "id": "oscillation",
      "label": "Oscillation",
      "track": "spatial_manifestation",
      "depends_on": ["bounded_recurrence", "phase"],
      "earned_when": "A declared variable repeatedly varies through a bounded, repeatable phase structure.",
      "status": "canonical source reconstruction",
      "sources": [
        "source_materials/manuals/manual-of-reality-latest.md#Chapter 40 — Oscillation"
      ],
      "guardrail": "A wave representation, one cycle, a bounded variable, or a sine drawing is not yet oscillation."
    },
    {
      "id": "vibration",
      "label": "Vibration",
      "track": "spatial_manifestation",
      "depends_on": ["oscillation", "space", "position_change"],
      "earned_when": "Oscillation is expressed as repeated bounded variation of a declared spatial variable relative to a declared spatial reference configuration.",
      "status": "canonical source reconstruction",
      "sources": [
        "source_materials/manuals/manual-of-reality-latest.md#Chapter 41 — Vibration"
      ],
      "guardrail": "Oscillation need not be spatial; a wavy picture does not prove vibration."
    },
    {
      "id": "localized_standing_recurrence",
      "label": "Localized / standing recurrence",
      "track": "spatial_manifestation",
      "depends_on": ["vibration"],
      "earned_when": "A supporting region, boundary, coupling, compatible return, and phase repeatedly renew one regional profile while causal lineage remains connected.",
      "status": "canonical source reconstruction",
      "sources": [
        "source_materials/manuals/manual-of-reality-latest.md#Chapter 42 — Localized / Standing Recurrence"
      ],
      "guardrail": "Standing does not mean still, localized does not mean point-like, and one admissible mode is not one causal identity."
    },
    {
      "id": "nodal_projection",
      "label": "Nodes and antinodes",
      "track": "spatial_manifestation",
      "depends_on": ["localized_standing_recurrence"],
      "earned_when": "A declared scalar standing-wave representation has locations of minimal and maximal excursion for its declared variable.",
      "status": "representation lens",
      "sources": [
        "source_materials/manuals/manual-of-reality-latest.md#Nodes and Antinodes — A Representation Lens"
      ],
      "guardrail": "Nodes are representation-relative relations, not primitive Source objects, proof of matter, causal lineage, persistence, or universal geometry."
    },
    {
      "id": "residue",
      "label": "Consequential residue",
      "track": "local_cognitive_capability",
      "depends_on": ["manifested_expression"],
      "earned_when": "A manifestation changes the conditions inherited by what can happen next.",
      "status": "canonical engine consequence",
      "sources": [
        "source_snapshot/CHAPTER_09_THE_EMERGENCE_OF_THE_OBSERVER_REPAIRED(4).md#From residue to trace",
        "atlas/CANONICAL_CLAIM_REGISTRY.json#YT-CORE-006"
      ],
      "guardrail": "Residue can shape continuation without remaining separately addressable; residue alone is not trace, memory, observation, observerhood, or local cognitive capability."
    },
    {
      "id": "trace",
      "label": "Addressable trace",
      "track": "local_cognitive_capability",
      "depends_on": ["residue", "residue_linked_path"],
      "earned_when": "A past-specific consequence remains active, survives re-expression, and preserves enough relational address to be encountered again.",
      "status": "canonical emergence sequence",
      "sources": [
        "source_snapshot/CHAPTER_09_THE_EMERGENCE_OF_THE_OBSERVER_REPAIRED(4).md#From residue to trace"
      ],
      "guardrail": "An inherited effect without a recoverable past-specific address is residue, not trace."
    },
    {
      "id": "functional_memory",
      "label": "Functional memory",
      "track": "local_cognitive_capability",
      "depends_on": ["trace"],
      "earned_when": "A retained trace re-enters present comparison and changes what happens next.",
      "status": "canonical emergence sequence",
      "sources": [
        "source_snapshot/CHAPTER_09_THE_EMERGENCE_OF_THE_OBSERVER_REPAIRED(4).md#A trace becomes memory when it returns"
      ],
      "guardrail": "Stored history or inactive trace is not yet functional memory."
    },
    {
      "id": "local_comparison",
      "label": "Local present–trace comparison",
      "track": "local_cognitive_capability",
      "depends_on": ["functional_memory"],
      "earned_when": "A present encounter is processed differently because a retained trace has re-entered the local relation.",
      "status": "canonical emergence sequence",
      "sources": [
        "source_snapshot/CHAPTER_09_THE_EMERGENCE_OF_THE_OBSERVER_REPAIRED(4).md#Comparison does not require a hidden comparer"
      ],
      "guardrail": "A local comparison changes one relation but does not yet give the whole identity one integrated observation."
    },
    {
      "id": "whole_integration",
      "label": "Whole-level integrated comparison",
      "track": "local_cognitive_capability",
      "depends_on": ["local_comparison", "dimension"],
      "earned_when": "Relevant local present–trace comparisons form a selectively faithful structured relation that changes the condition of the whole.",
      "status": "canonical emergence sequence",
      "sources": [
        "source_snapshot/CHAPTER_09_THE_EMERGENCE_OF_THE_OBSERVER_REPAIRED(4).md#Comparison becomes available to the whole"
      ],
      "guardrail": "Many local memories, correlations, or an average readout do not establish whole-level integration."
    },
    {
      "id": "observation",
      "label": "Whole-level observation",
      "track": "local_cognitive_capability",
      "depends_on": ["whole_integration"],
      "earned_when": "A present multidimensional condition is related to retained history and registered as one structured difference at the depth of the continuing whole.",
      "status": "canonical emergence sequence",
      "sources": [
        "source_snapshot/CHAPTER_09_THE_EMERGENCE_OF_THE_OBSERVER_REPAIRED(4).md#Comparison becomes available to the whole"
      ],
      "guardrail": "One observation may occur and disappear; it does not establish a continuing observer."
    },
    {
      "id": "observer_return",
      "label": "Observer comparison-and-return",
      "track": "local_cognitive_capability",
      "depends_on": ["observation"],
      "earned_when": "An integrated observation leaves addressable residue that re-enters later whole-level comparison and can alter the same identity's continuation.",
      "status": "canonical emergence sequence",
      "sources": [
        "source_snapshot/CHAPTER_09_THE_EMERGENCE_OF_THE_OBSERVER_REPAIRED(4).md#Feedback turns observation into an observer"
      ],
      "guardrail": "A reference, centre point, single observation, visual observer, or appended plus-one does not establish an observer."
    },
    {
      "id": "local_cognitive_capability",
      "label": "Local self-correcting cognitive capability",
      "track": "local_cognitive_capability",
      "depends_on": ["observer_return", "nested_identity"],
      "earned_when": "A bounded history-bearing local identity can retain, integrate, model, and redirect consequential change, including a retained relation to its own transformation.",
      "status": "canonical capability distinction",
      "sources": [
        "atlas/CANONICAL_CLAIM_REGISTRY.json#YT-MIND-003",
        "canonical/03_MIND.md#When a local identity earns cognitive mind capability",
        "canonical/16_ENGINE_FORMATION.md#How a local identity earns observer and cognitive capability"
      ],
      "guardrail": "Mind-structure is already present in the living triad. Recurrence, storage, correlation, fluent output, geometry, or self-reference alone does not establish observerhood, self-correcting cognitive capability, or subjective consciousness."
    },
    {
      "id": "circle_representation",
      "label": "Circle",
      "track": "geometry",
      "depends_on": ["living_triad"],
      "earned_when": "One relational closure is displayed without an exposed endpoint.",
      "status": "geometric representation",
      "sources": [
        "source_snapshot/Book(2).md#Why the closure can be represented as a circle"
      ],
      "guardrail": "At Source the circle represents returnability, not temporal rotation."
    },
    {
      "id": "wave_representation",
      "label": "Wave",
      "track": "geometry",
      "depends_on": ["identity_wave"],
      "earned_when": "Recurring identity through changing states is projected as departure, return, phase, and renewal.",
      "status": "structural and geometric model",
      "sources": [
        "atlas/CANONICAL_CLAIM_REGISTRY.json#YT-GEO-001"
      ],
      "guardrail": "The carrier and measured variable must be established separately in each domain."
    },
    {
      "id": "spiral_representation",
      "label": "Spiral",
      "track": "geometry",
      "depends_on": ["wave_representation", "residue_linked_path"],
      "earned_when": "Return occurs with retained residue so the renewed state differs in phase, scale, centre, or history.",
      "status": "structural and geometric model",
      "sources": [
        "atlas/CANONICAL_CLAIM_REGISTRY.json#YT-GEO-001"
      ],
      "guardrail": "Non-identical return can be represented spirally; a spiral image does not establish causal residue."
    },
    {
      "id": "helix_representation",
      "label": "Helix",
      "track": "geometry",
      "depends_on": ["spiral_representation"],
      "earned_when": "Two complementary directional recurrences remain distinguishable while winding around a common continuity axis.",
      "status": "structural and geometric model",
      "sources": [
        "atlas/CANONICAL_CLAIM_REGISTRY.json#YT-GEO-001"
      ],
      "guardrail": "DNA is a powerful correspondence, not proof that every identity is a literal double helix."
    },
    {
      "id": "toroidal_representation",
      "label": "Torus",
      "track": "geometry",
      "depends_on": ["bounded_recurrence", "nested_identity"],
      "earned_when": "A local inside–outside cycle and a wider whole–outside or Source-facing cycle are each closed, causally coupled, and carried by the same continuing identity.",
      "status": "topological derivation within a conditional two-cycle model",
      "formula": "S^1 × S^1 = T^2",
      "sources": [
        "atlas/CANONICAL_CLAIM_REGISTRY.json#YT-GEO-002",
        "source_snapshot/Book Prompts Wisdoms(1).md#From the Source circle to the manifested torus"
      ],
      "guardrail": "A donut, single oscillation, magnetic field, amplitude growth, software loop, or spiral does not establish toroidal topology."
    },
    {
      "id": "flower_of_life_representation",
      "label": "Flower of Life",
      "track": "geometry",
      "depends_on": ["circle_representation", "nested_identity"],
      "earned_when": "Repeated circle closures are displayed as many overlapping closures sharing one field.",
      "status": "sacred-geometry and display lens",
      "sources": [
        "knowledge-dna/One_Source_Book/APPENDIX_RAW_RECOVERY_37H_SECTIONS.md#Sacred Geometry As Stable Form Language",
        "intake/raw/YWP-20260831T220500Z-spatial-node-identity-engine.md"
      ],
      "guardrail": "The Flower of Life does not establish primitive Source nodes, physical space, matter, a universal lattice, or a torus."
    }
  ],
  "prototype_contract": {
    "input": "A declared carrier or abstract variable, a declared supporting relational address field, explicit boundary/coupling conditions, energy or drive, leakage, and return rules.",
    "identity_gate": [
      "connected causal lineage",
      "repeatable bounded return",
      "retained residue",
      "recognizable regional profile",
      "persistence across more than one comparable cycle"
    ],
    "toroid_gate": [
      "continuing identity already earned",
      "local inside–outside cycle closed",
      "wider whole–outside cycle closed",
      "two cycles causally coupled",
      "declared projection from the two phases to toroidal coordinates"
    ],
    "forbidden_shortcuts": [
      "node coordinate -> identity",
      "amplitude threshold -> identity",
      "dimension count -> physical shape",
      "one cycle -> torus",
      "Flower of Life -> Source ontology",
      "electromagnetic label -> free amplitude growth",
      "visual centre -> observer",
      "recursive code -> observerhood, self-correcting cognitive capability, or subjective consciousness"
    ]
  },
  "open_gaps": [
    {
      "id": "GAP-SOM-SPACE-CH33",
      "title": "Manual Chapter 33 — Space is missing",
      "impact": "The threshold from relational arena to space is named by Chapters 32 and 34 but its full canonical chapter body is absent from the latest manual source.",
      "next_action": "Recover or reconstruct Chapter 33 from source lineage, then validate it against YT-DIM-001, YT-DIM-002, YT-GEO-003, and the latest Source/manifestation distinction."
    },
    {
      "id": "GAP-SOM-TORUS-DYNAMICS",
      "title": "Two-cycle topology is stated; domain dynamics remain to be instantiated",
      "impact": "S^1 × S^1 establishes the topology only after two cycles are demonstrated. Each physical, biological, mental, social, or digital application still needs its own variables, dynamics, closure evidence, and falsifier.",
      "next_action": "Use the prototype as a bounded model and test each gate separately; do not treat a rendered torus as validation."
    }
  ]
}
