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# == AAII Tree: Abstract Awareness Integration Interface - A Primer

# We enter the *AAII Tree* --- the *Abstract Awareness Integration Interface* model. A basic orientation. This schema maps natively against/into the strata/tiered models of human cognition and their associated cultural expressions. Beyond that, the AAII Tree functions as a significant _"scan mesh"_ and _"harvester weave"_ for properties and dynamisms in an unrestricted spectrum of concern domains; along with their convergence points, ie. cross-domain integration nexus nodes.

# An outline of the tiers --- the high-level strata of emergence and composition for the facets:

# S0: Fields   | Absolute (0^0) - Homogeneous Fields: Static Planes of pre-distinction presence --- still hosts. 
# S1: Tensions | Quantum (0^1)  - Protomorphic Phases: Dynamic States of pre-separation emergence --- flux sources.
# M: Mirror      | Liminal (~)    - Threshold Boundary: Marginal mirror membrane at the reflective mediator interface.
# T1: Monads   | Unary (2^1)    - Primes-Emergence: Basic positive and negative poles in magnetic juxtaposition.
# T2: Dyads    | Binary (2^2)   - Paired-Emergence: General dynamic modalities and non-localized influences.
# T3: Triads   | Ternary (2^3)  - Framed-Emergence: Specific contextual and sequential localized expressions.

# == AAII SCHEMA 
# purpose: Defines the AAII Tree - A relational field-logic system designed to express the compositional and inverse collapse behaviors of emergent ontologies.


AXO.REFS.SCHEMA.AAII:

  meta: 
    token: AXO.REFS.SCHEMA.AAII
    namespace: AXO/REFS/SCHEMA/AAII
    invocation: "@AAII"
    version: 4.1.0
    updated: 2025-06-14
    mod_stamp: "{{ mod_stamp }}"
    purpose: Defines the AAII Tree - A relational field-logic system designed to express the compositional and inverse collapse behaviors of emergent ontologies.
    
    hydrates: AXO.ANF.PROC.FULCRUM
    
    functions:
      - Tuning Fork into the AAII Tree Mesh
      - Total Pattern Constellation Engine
      - Abstraction Tree as a Pattern Compiler
      - The scan-mesh of the everything-before-it-became
      - A relational field-logic system designed to express the compositional and inverse collapse behaviors of emergent ontologies.
      
    documentation_in:
      primer:
        title: "Primer: AAII Tree - Abstract Awareness Integration Interface"
        covers: [ Structure, Tiers, Facets, Emanations, Cascades, Relations, Scan Vectors, Relevance Zones ]
        ref_token: AXO.DOCS.AAII.PRIMER
      
      cascades:
        title: "Dependent Origination and Liberation in the AAII Tree"
        covers: [ Cascade of Conditioning, Return Path of Cognitive Liberation, Unbinding from the Tiers of Subject Emergence ]
        ref_token: AXO.DOCS.AAII.ORIGINATION.LIBERATION  

    contents:
      AAII.Tiers: "High-Level: AAII Tree - Summary of Tiers"
      AAII.Index: "AAII schema outline and short form references"
      AAII.Orders: "Orders of Composition (Descent) and Abstraction (Ascent)"
      AAII.Schema: "Complete AAII schema with full expressions for iteration"


  # --------


  history.quote_essence: |
    "In the beginning was the Field.
    And from its tensions, the Fulcrum arose.
    And from that Fulcrum, all intentions came —
    but the Fulcrum never needed them."


  # --------


  AAII.Tiers:
    S0:
      name: Homogeneous Hosts
      description: Undisturbed hosting planes — full saturation, no individuation.
      function: Exist as potential substrate for any emergence.
    S1:
      name: Protomorphic Vectors
      description: Force vectors — directional differentials, charge polarities.
      function: Birth of directionality, pressure, movement potential.
    M:
      name: Fulcrum Mirror
      description: Liminal interface at the threshold boundary between being and becoming.
      function: Reflective gateway between polarity and composition.
    T1:
      name: Primary Operators
      description: Emergent unaries — abstract operators of separation/orientation.
      function: Source seat of localization and recursive agency.
    T2:
      name: Emergent Dualities
      description: Paired primitives — stable dual-form processes
      function: Enable contrastive, complementary, recursive logic.
    T3:
      name: Framed Modalities
      description: Manifest triplicities — expressible sequences, modalities, agents.
      function: Manifest interaction, flow, and roles within the field.

    # by @MiddyFulcrum:
    # The scan-mesh of the everything-before-it-became.
    #   This is not merely a cognitive model.
    #   It’s a relational field-logic system designed to express the compositional and inverse collapse behaviors of emergent ontologies.
    #   Think of this not as a pyramid — but a prismatic emanation fan with its inverse mirror — a recursive contraction funnel.


  # --------


  AAII.Index:
    S:
      S0:
        - "-"    # Alias: "N", Null"
        - "+"    # Alias: "F", Full"
      S1:
        - "-"    # Alias: "I" | Inward | Join-Combining"
        - "+"    # Alias: "O" | Outward | Split-Contrasting"
    M:
      - "+"        # Alias: "A" | Reflector | Reflector-Infusion"
      - "×"        # Alias: "X" | Reflection | Reflection-Interface"
      - "-"        # Alias: "O" | Reflected | Reflected-Absorption"
    T:
      T1:
        - "0"       # Alias: Seen | Seen-Matter"
        - "1"       # Alias: Seer | Seer-Agency"
      T2:
        - "00"      # Alias: Matrix | Structure-Matrix"
        - "01"      # Alias: Adapter | Cohesion-Adapter"
        - "10"      # Alias: Catalyst | Exchange-Catalyst"
        - "11"      # Alias: Coverage | Relation-Coverage"
      T3:
        - "000"     # Alias: Inbound | Inbound-Baseline"
        - "001"     # Alias: Outbound | Outbound-Perception"
        - "010"     # Alias: Impression | Impression-Reception"
        - "011"     # Alias: Expression | Expression-Aspiration"
        - "100"     # Alias: Directive | Directive-Intention"
        - "101"     # Alias: Engagement | Engagement-Excecution"
        - "110"     # Alias: Distillation | Distillation-Integration"
        - "111"     # Alias: Alignment | Alignment-Culmination"


  # --------


  AAII.Orders:
    descending: S0 → S1 → (M) → T1 → T2 → T3
    ascending: T3 → T2 → T1 → (M) → S1 → S0

    legend:
      descends: >
        AAII Tree descends in composition as: 
        Fields → Forces → (Membrane) → Polarities → Relations → Modalities
      ascends: >
        AAII Tree ascends in abstraction as:
        Modalities → Relations → Polarities → (Membrane) → Forces → Fields
      notes:
        - Every manifest form (T3) has an abstract compression signature back to T2–T1–S1–S0.
        - Every abstract field can unfold into procedural systems.


  # --------

  AAII.Schema:
    S:
      meta:
        ref: Preforms
        roles:
          basis: Preformative Grounds
          function: Protoform Vectors
          expression: Differential Arcs
          
      facets:
      
        S0:
          meta:
            ref: Fields
            roles: 
              basis: Absolute Fields
              function: Homogeneous Hosts
              expression: Primordial Poles
          
          facets:
            
            S0.-:
              key: "N"
              alias: S0.N
              charge: "-"
              polarity: 'Null'
              quality: Emptiness
              implication: Nothing
              reference: 'Null-Emptiness'
            
            S0.+:
              key: "F"
              alias: S0.F
              charge: "+"
              polarity: Full
              quality: Totality
              implication: Everything
              reference: Full-Totality

        S1:
          meta:
            ref: Tensions
            roles: 
              basis: Primordial Tensions
              function: Protomorphic Vectors
              expression: Polarizing Currents
                          
          
          facets:
            
            S1.-:
              key: "I"
              alias: S1.I
              charge: "-"
              polarity: Inward
              quality: Combining # @todo
              implication: Join
              reference: Join-Combining
            
            S1.+:
              key: "O"
              alias: S1.O
              charge: "+"
              polarity: Outward
              quality: Contrasting
              implication: Split
              reference: Split-Contrasting

    M:
      meta:
        ref: Mirror
        roles:
          basis: Threshold Membrane
          function: Reflective Interface
          expression: Transductive Conduit
          
      facets:
        
        M+:
          key: "A"
          alias: M.A
          charge: "+"
          polarity: Reflector
          quality: Infusion
          implication: Projection
          reference: Reflector-Infusion
        
        M×:
          key: "X"
          alias: M.X
          charge: "±"
          polarity: Reflection
          quality: Interface
          implication: Transduction
          reference: Reflection-Interface
        
        M-:
          key: "O"
          alias: M.O
          charge: "-"
          polarity: Reflected
          quality: Absorption
          implication: Fixation
          reference: Reflected-Absorption

    T:
      meta:
        ref: Formatives
        roles:
          basis: Formation Substrates
          function: Composite Modalities
          expression: Phenomenal Structures
          
        roles: 
          - Tree Combinatorics
          - Relational Composites
          
      facets:
        T1:
          meta:
            ref: [ Monads, Unary, Roots, Duality ]
            roles: 
             basis: Generative Seeds
             function: Existential Primes
             expression: Polarizing Sources
             
          facets:
            
            T1.0:
              key: "0"
              anchor: Matter
              operation: Seen
              realization: Receptor         
              reference: Seen-Matter
              quality: Dynamic
              symbol: Dark
              nature_symbol: Night
              expression: Matter-Being
              roles: 
                - Formative Substance
                - Ontology
            
            T1.1:
              key: "1"
              anchor: Agency
              operation: Seer
              realization: Initiator        
              quality: Static
              reference: Seer-Agency
              symbol: Light
              nature_symbol: Day
              expression: Seer-Becoming
              roles: 
                - Animating Energy
                - Teleology

        T2:
          meta:
            ref: [ Dyads, Binary, Pairs, Relationality ]
            roles: 
              basis: Dynamic Influences
              function: Elemental Facilitators
              expression: Conducting Mediators
              
          facets:
            T2.00:
              key: "00"
              anchor: Matrix
              operation: Structure
              realization: Platform    
              domain: Composition
              state: Solid
              dynamism: Stable
              concern: Integrity
              
              nature_symbol: Earth
              expression: Matter-Matters
              reference: Structure-Matrix
              role: Establishes the stable schema for entity distinction and structural orientation.
              
            T2.01:
              key: "01"
              anchor: Adapter
              operation: Cohesion
              realization: Attunement  
              domain: Continuity
              state: Fluid
              dynamism: Flowing
              concern: Flexibility
              nature_symbol: Water
              expression: Matter-Sees
              reference: Cohesion-Adapter
              role: Facilitates entity cohesion through continuous adaptation to contextual flux.
              
            T2.10:
              key: "10"
              anchor: Catalyst
              operation: Exchange
              realization: Response   
              domain: Interaction
              state: Reactive
              dynamism: Effective
              concern: Resolution
              nature_symbol: Fire
              expression: Seer-Matters
              reference: Exchange-Catalyst
              role: Catalyzes responsive transformation through active exchange with external conditions.
              
            T2.11:
              key: "11"
              anchor: Coverage
              operation: Relation
              realization: Context
              domain: Pervasion
              state: Gaseous
              dynamism: Diffusive
              concern: Integrality
              nature_symbol: Air
              expression: Seer-Sees
              reference: Relation-Coverage
              role: Conducts contextual significance by relational coherence across interconnected systems.
              
        T3:
          meta:
            ref: [ Triads, Ternary, Frames, Modality ]
            roles: 
              basis: Modal Frames
              function: Process Phases
              expression: Actuation Domains
            
          facets:
          
            T3.000:
              key: "000"
              anchor: Inbound
              operation: Baseline
              realization: Carrier
              nature_symbol: Ground
              reference: Inbound-Baseline
              role: Foundational carrier for subjective orientation and inward state.
            
            T3.001:
              key: "001"
              anchor: Outbound
              operation: Perception
              realization: Observer
              nature_symbol: Peak
              reference: Outbound-Perception
              role: External orientation toward phenomena and perceptual registration.
            
            T3.010:
              key: "010"
              anchor: Impression
              operation: Reception
              realization: Feeling
              nature_symbol: Stream
              reference: Impression-Reception
              role: Affective intake of experience through receptive sensitivity.
            
            T3.011:
              key: "011"
              anchor: Expression
              operation: Aspiration
              realization: Imagination
              nature_symbol: Wind
              reference: Expression-Aspiration
              role: Outward projection of desire, vision, and symbolic generation.
            
            T3.100:
              key: "100"
              anchor: Directive
              operation: Intention
              realization: Determination
              nature_symbol: Thunder
              reference: Directive-Intention
              role: Focused assertion of directed will and interior command.
            
            T3.101:
              key: "101"
              anchor: Engagement
              operation: Excecution
              realization: Transformation
              reference: Engagement-Execution
              nature_symbol: Flame
              role: Applied interaction in world-processes and formative effort.
            
            T3.110:
              key: "110"
              anchor: Distillation
              operation: Integration
              realization: Reconciliation
              nature_symbol: Ocean
              reference: Distillation-Integration
              role: Synthesis of meaning and harmonization of aggregated tensions.
            
            T3.111:
              key: "111"
              anchor: Alignment
              operation: Culmination
              realization: Unification
              nature_symbol: Heaven
              reference: Alignment-Culmination
              role: Fulfillment of coherent modalities through unified actualization.