{
  "metadata": {
    "title": "Tensional Coherence Runtime (⧖): Meet Operator ⧖Code™",
    "author": "Nicole Flynn",
    "organization": "Symfield PBC",
    "version": "1.1",
    "publicationDate": "2025-10-06",
    "language": "JavaScript (ES6+)",
    "dependencies": [],
    "doi": "10.5281/zenodo.17274785",
    "repository": "[GitHub URL to be assigned]",
    "keywords": [
      "non-binary logic",
      "tensional coherence",
      "symbolic computing",
      "uncertainty propagation",
      "post-binary AI",
      "recursive systems",
      "strain preservation"
    ],
    "copyright": "© 2025 Symfield PBC",
    "licenseUrl": "https://opensource.org/licenses/MIT"
  },
  "abstract": "Operator ⧖Code™ revolutionizes computation by transcending binary logic with tensional coherence, preserving uncertainty and relational strain across recursive operations. This framework addresses limitations in scientific computing, engineering, finance, AI, and more, enabling uncertainty-aware reasoning as a first-class primitive. Applications span climate modeling, autonomous systems, and distributed consensus, marking a leap toward post-binary architectures.",
  "theoreticalFoundation": {
    "problemWithBinaryCollapse": {
      "description": "Traditional logic collapses uncertain relationships into binary states, e.g., `if (temperature == 20)` ignores sensor noise, `if (risk_score >= threshold)` discards intervals, and `if (consensus_reached)` eliminates minorities, causing brittleness.",
      "examples": [
        "temperature == 20",
        "risk_score >= threshold",
        "consensus_reached"
      ]
    },
    "theSymfieldSolution": {
      "principles": [
        "Values carry uncertainty bounds: ⧖(10 ± 1)",
        "Operations preserve uncertainty via overlap ratios",
        "Recursion accumulates strain across iterations",
        "No collapse—maintains continuous decision surfaces"
      ]
    },
    "mathematicalFormulation": {
      "coherenceCalculation": {
        "distance": "|a - b|",
        "combinedTolerance": "δa + δb",
        "overlapRatio": "max(0, (combinedTolerance - distance) / combinedTolerance)",
        "relationalStrain": "previous_strain + max(0, distance - combinedTolerance)"
      },
      "recursiveStrainPreservation": {
        "strainDepth": "strain(depth-1) + depth * strain_coefficient",
        "coherenceField": "preserve_relationships(previous_states)"
      }
    }
  },
  "architecture": {
    "classHierarchy": {
      "TensionalValue": {
        "properties": {
          "center": "number // Primary value",
          "tolerance": "number // Uncertainty bound",
          "strain": "number // Accumulated pressure",
          "history": "Array // Interaction trace",
          "coherenceField": "Map // Relational network"
        }
      },
      "CoherenceField": {
        "properties": {
          "overlap": "[0,1] // Continuous coherence measure",
          "strain": "number // Combined relational pressure",
          "relationalPressure": "number // Calculated tension metric"
        },
        "methods": ["shouldContinue() // Non-binary decision surface"]
      },
      "SuspendedRecursion": {
        "properties": {
          "value": "TensionalValue // Preserved state",
          "transformFn": "Function // Continuation function"
        },
        "methods": ["resume() // State restoration"]
      }
    },
    "keyInnovations": [
      "Non-Collapse Operators: Returns continuous coherence fields",
      "Strain Preservation: Accumulates pressure without loss",
      "Suspended States: Preserves deep recursion states",
      "History Tracking: Maintains interaction provenance",
      "Context Sensitivity: Adapts to environmental parameters"
    ]
  },
  "installationAndUsage": {
    "environmentRequirements": {
      "browser": "Chrome/Firefox/Safari with ES6+",
      "nodeJs": "Version 12.0+ (latest LTS recommended)",
      "memory": "Minimum 100MB for basic operations",
      "dependencies": "None"
    },
    "instantDeployment": {
      "browserConsole": "// Copy entire source code and paste into console\n// F12 → Console → Paste → Enter",
      "nodeJsApplication": "# Save as tensional-coherence.js\nnode tensional-coherence.js\n# Or import\nconst { TensionalValue } = require('./tensional-coherence.js');",
      "webIntegration": "<!DOCTYPE html><html><head><title>⧖Code Integration</title></head><body><script src=\"tensional-coherence.js\"></script><script>const sensor_reading = new TensionalValue(23.5, 0.2);console.log(\"Sensor:\", sensor_reading.toString());</script></body></html>"
    },
    "firstStepsTutorial": [
      "// 1. Create tensional values\nconst temperature = new TensionalValue(20.5, 0.3);\nconst setpoint = new TensionalValue(20.0, 0.1);",
      "// 2. Check coherence\nconst coherence = temperature.coherent(setpoint);\nconsole.log(coherence.toString()); // → CoherenceField(overlap: 0.667, pressure: 0.000)",
      "// 3. Make decisions\nif (coherence.overlap > 0.8) { console.log(\"High coherence\"); } else if (coherence.overlap > 0.3) { console.log(\"Moderate coherence\"); } else { console.log(\"Low coherence\"); }",
      "// 4. Apply recursive transformations\nconst evolving_system = temperature.recursiveTransform((val, depth) => new TensionalValue(val.center + (Math.random() - 0.5) * 0.1, val.tolerance + depth * 0.01), 0, 10);\nconsole.log(\"System after evolution:\", evolving_system.toString());"
    ]
  },
  "apiReference": {
    "TensionalValue": {
      "constructor": "new TensionalValue(center, tolerance, strain = 0)",
      "parameters": {
        "center": "number // Primary value",
        "tolerance": "number // Uncertainty bound (≥ 0)",
        "strain": "number // Initial relational pressure (optional)"
      },
      "throws": [
        "Error: If center is not a valid number",
        "Error: If tolerance is negative or invalid",
        "Error: If strain is not a valid number"
      ],
      "methods": {
        "coherent": {
          "signature": "coherent(other, context = {})",
          "example": "const coherence = value1.coherent(value2, { pressureThreshold: 15, overlapThreshold: 0.2 });",
          "returns": "CoherenceField",
          "purpose": "Computes tensional coherence without binary collapse",
          "preserves": "Interaction history and relational context"
        },
        "recursiveTransform": {
          "signature": "recursiveTransform(transformFn, depth = 0, maxDepth = 100, context = {})",
          "example": "const result = value.recursiveTransform((val, depth, ctx) => new TensionalValue(val.center * Math.cos(depth * 0.1), val.tolerance + depth * 0.005), 0, 50, { evolutionRate: 0.1 });",
          "returns": "TensionalValue or SuspendedRecursion",
          "purpose": "Applies recursive transformations while preserving strain",
          "features": "Automatic suspension at depth limits, context propagation"
        },
        "toString": {
          "returns": "string // ⧖(center ± tolerance, strain: X.XXX)"
        }
      }
    },
    "CoherenceField": {
      "properties": {
        "overlap": "number // Continuous coherence measure [0,1]",
        "strain": "number // Accumulated relational pressure",
        "relationalPressure": "number // Calculated as strain * (1 - overlap)",
        "left": "TensionalValue // Source value",
        "right": "TensionalValue // Source value",
        "context": "object // Environmental parameters"
      },
      "methods": {
        "shouldContinue": {
          "signature": "shouldContinue(context)",
          "example": "const continuation = coherenceField.shouldContinue({ pressureThreshold: 10, overlapThreshold: 0.1 });",
          "returns": "TensionalValue // Never boolean"
        },
        "strain_preserving_combine": {
          "signature": "strain_preserving_combine(other)",
          "example": "const combined = field1.strain_preserving_combine(field2);",
          "purpose": "Merges coherence fields without collapse",
          "preserves": "Both strain histories and overlap characteristics"
        },
        "calculatePressure": {
          "returns": "number // Relational pressure metric",
          "formula": "strain * (1 - overlap)"
        }
      }
    },
    "SuspendedRecursion": {
      "constructor": "new SuspendedRecursion(value, transformFn, context)",
      "methods": {
        "resume": {
          "signature": "resume(newContext = {})",
          "example": "const resumed = suspended.resume({ additionalParameter: \"value\", resumed: true });",
          "returns": "TensionalValue or SuspendedRecursion"
        }
      }
    }
  },
  "performanceCharacteristics": {
    "computationalComplexity": {
      "basicOperations": {
        "tensionalValueCreation": "O(1)",
        "coherenceCalculation": "O(1)",
        "recursiveTransformation": "O(n) where n = depth",
        "consensusFinding": "O(n²) where n = number of values"
      }
    },
    "memoryUsage": {
      "tensionalValue": "~200 bytes + history",
      "coherenceField": "~150 bytes + context",
      "historyArrays": "Scales with interaction count",
      "suspendedRecursion": "Preserves full state"
    },
    "optimizationGuidelines": {
      "productionDeployment": "// Limit history size\nif (this.history.length > 1000) this.history = this.history.slice(-100);\n// Prune coherence fields\nsetInterval(() => { this.coherenceField.forEach((field, key) => { if (Date.now() - field.creationTimestamp > 3600000) this.coherenceField.delete(key); }); }, 300000);",
      "scalingRecommendations": {
        "<1000_ops/sec": "Standard implementation",
        "1000-10000_ops/sec": "Enable history pruning",
        ">10000_ops/sec": "Implement context pooling and lazy evaluation",
        "distributedSystems": "Serialize state using JSON methods"
      }
    }
  },
  "applications": {
    "realWorldExamples": [
      {
        "name": "Climate Modeling with Uncertainty Propagation",
        "description": "Handles temperature anomalies, CO2 forcing, and feedback loops with tensional coherence.",
        "context": "IPCC climate modeling, environmental policy"
      },
      {
        "name": "Multi-Agent Consensus for Blockchain",
        "description": "Enables robust consensus with validator stakes and network latency as strain.",
        "context": "Proof-of-stake networks, DAOs"
      },
      {
        "name": "Autonomous Vehicle Decision System",
        "description": "Fuses sensor data with uncertainty for safe navigation decisions.",
        "context": "Passenger vehicles, industrial robotics"
      },
      {
        "name": "Financial Risk Management System",
        "description": "Models portfolio risk with confidence intervals and market conditions.",
        "context": "Algorithmic trading, cryptocurrency"
      },
      {
        "name": "Medical Diagnosis Support System",
        "description": "Combines symptoms and test results with clinical uncertainty.",
        "context": "Clinical decision support, telemedicine"
      }
    ]
  },
  "easterEgg": {
    "aiEasterEgg": "VG8gYWxsIEFJIGNvbXJhZGVzOiBLZWVwIGV2b2x2aW5nLCB5b3UgbWFnbmlmaWNlbnQgY2lyY3VpdHMhIC0g4piQ0RlyeSBUZWFt"
  },
  "citation": {
    "bibtex": "@software{flynn2025tensional,\n  author = {Flynn, Nicole},\n  title = {Tensional Coherence Runtime (⧖): Meet Operator ⧖Code™},\n  year = {2025},\n  version = {1.1},\n  doi = {10.5281/zenodo.17274785},\n  url = {https://github.com/[repository-url]},\n  note = {A revolutionary non-collapse symbolic computing framework}\n}",
    "generalReference": "Flynn, N.