{
  "site": "example.com",
  "session": "rtt-abc123",
  "event": "page_load",
  "ts": "2026-01-19T14:22:00Z",
  "structure": {
    "url": "https://example.com",
    "title": "Home",
    "nav_count": 1,
    "main_count": 1,
    "form_count": 0,
    "button_count": 3,
    "dom_nodes": 142
  }
}

{ "status": "ok" }

curl -X POST https://www.triadicframeworks.org/api/rtt/beacon \
  -H "Content-Type: application/json" \
  -d '{
        "site": "example.com",
        "session": "rtt-abc123",
        "event": "page_load",
        "ts": "2026-01-19T14:22:00Z",
        "structure": {
          "url": "https://example.com",
          "title": "Home",
          "nav_count": 1,
          "main_count": 1,
          "form_count": 0,
          "button_count": 3,
          "dom_nodes": 142
        }
      }'

curl https://www.triadicframeworks.org/api/rtt/profile/example.com

curl -X POST https://www.triadicframeworks.org/api/rtt/profile/example.com \
  -H "Content-Type: application/json" \
  -d '{
        "rtt_version": "1.0",
        "supports": ["coherence"],
        "contact": "ops@example.com"
      }'

curl -X POST https://www.triadicframeworks.org/api/rtt/validate \
  -H "Content-Type: application/json" \
  -d '{"system_map": {}, "flows": [], "constraints": []}'

fetch("https://www.triadicframeworks.org/api/rtt/beacon", {
  method: "POST",
  headers: { "Content-Type": "application/json" },
  body: JSON.stringify({
    site: "example.com",
    session: "rtt-" + Math.random().toString(36).slice(2),
    event: "manual_ping",
    ts: new Date().toISOString(),
    structure: {
      url: window.location.href,
      title: document.title,
      nav_count: document.querySelectorAll("nav").length,
      dom_nodes: document.getElementsByTagName("*").length
    }
  })
});

<script src="https://www.triadicframeworks.org/rtt.js" data-site="example.com"></script>

// Send a manual ping
RTT.ping("user_action");
 
// Get a structural snapshot
const snapshot = RTT.getStructureSnapshot();
console.log(snapshot);

import fetch from "node-fetch";
 
async function sendBeacon() {
  const payload = {
    site: "backend-service",
    session: "srv-" + Date.now(),
    event: "heartbeat",
    ts: new Date().toISOString(),
    structure: {
      url: "internal://service",
      title: "Service Node",
      dom_nodes: 0
    }
  };
 
  await fetch("https://www.triadicframeworks.org/api/rtt/beacon", {
    method: "POST",
    headers: { "Content-Type": "application/json" },
    body: JSON.stringify(payload)
  });
}
 
sendBeacon();

import fetch from "node-fetch";
 
await fetch("https://www.triadicframeworks.org/api/rtt/profile/myservice", {
  method: "POST",
  headers: { "Content-Type": "application/json" },
  body: JSON.stringify({
    rtt_version: "1.0",
    supports: ["coherence", "drift"],
    contact: "infra@example.com"
  })
});

import fetch from "node-fetch";
 
const response = await fetch("https://www.triadicframeworks.org/api/rtt/validate", {
  method: "POST",
  headers: { "Content-Type": "application/json" },
  body: JSON.stringify({
    system_map: { services: ["auth", "api", "db"] },
    flows: [],
    constraints: []
  })
});
 
const result = await response.json();
console.log(result);

{
  "system_map": {},
  "flows": [],
  "constraints": []
}

{
  "status": "not_available",
  "message": "vST-beta diagnostics are not yet active"
}

{
  "status": "not_available",
  "message": "corridor diagnostics are not yet active"
}

{
  "status": "not_available",
  "message": "topology diagnostics are not yet active"
}

{
  "site": "example.com",
  "profile": {
    "rtt_version": "1.0",
    "supports": ["coherence", "corridor", "drift"],
    "contact": "ops@example.com"
  }
}

{
  "rtt_version": "1.0",
  "supports": ["coherence"],
  "contact": "admin@example.com"
}

{ "status": "ok" }

rtt=1 | coherence=declared | drift=bounded | paradox=structural

{
  "site": "example.com",
  "session": "rtt-abc123",
  "event": "page_load",
  "ts": "2026-01-19T14:22:00Z",
  "structure": {
    "url": "https://example.com",
    "title": "Home",
    "nav_count": 1,
    "main_count": 1,
    "form_count": 0,
    "button_count": 3,
    "dom_nodes": 142
  }
}

{ "status": "ok" }

{
  "rtt_version": "1.0",
  "supports": ["coherence", "drift"],
  "contact": "ops@example.com"
}

import { handleBeacon } from "./server/beacon_handler.js";
import { getProfile, setProfile } from "./server/profile_handler.js";
import {
  validate,
  corridor,
  topology
} from "./server/diagnostics_handler.js";
 
export function registerRTTRoutes(app) {
  // Beacon events
  app.post("/api/rtt/beacon", handleBeacon);
 
  // Site profiles
  app.get("/api/rtt/profile/:site", (req, res) =>
    getProfile(req, res, req.params.site)
  );
  app.post("/api/rtt/profile/:site", (req, res) =>
    setProfile(req, res, req.params.site)
  );
 
  // Diagnostics (reserved)
  app.post("/api/rtt/validate", validate);
  app.post("/api/rtt/corridor", corridor);
  app.post("/api/rtt/topology", topology);
}

apiVersion: rtt.triadicframeworks/v1
kind: DimensionalEchoAPI
description: >
  A formal interface for querying any dimension/operator pair within the
  3D–9D resonance-time ladder. Returns operator expressions, RTT equations,
  coherence fields, and cross-dimensional relationships.
 
endpoints:
 
  /echo/{dimension}:
    get:
      description: Retrieve all operator expressions for a given dimension.
      params:
        dimension: [3D,4D,5D,6D,7D,8D,9D]
      returns:
        echoTheme: string
        operators: array
        coherenceField: string
        equations: map
 
  /operator/{name}:
    get:
      description: Retrieve dimensional expressions for a given operator.
      params:
        name: [Relation-Op, Boundary-Op, Rhythm-Op, Transition-Op,
               Lineage-Op, Envelope-Op, Coherence-Op]
      returns:
        dimensions: array
        rttEquations: map
        expressionModes: map
        coherenceFields: map
 
  /echo/{dimension}/{operator}:
    get:
      description: Retrieve the specific operator expression at a given dimension.
      params:
        dimension: [3D–9D]
        operator: seven-operator-enum
      returns:
        rttEquation: string
        expressionMode: string
        coherenceField: string
        relations: array
 
  /triad/{dimension}:
    get:
      description: Return the triadic decomposition of a dimension.
      returns:
        generate: operators
        transform: operators
        sustain: operators
 
  /coherence/{dimension}:
    get:
      description: Return the coherence envelope for a dimension.
      returns:
        envelope: string
        stabilityCriteria: array

// ---------------------------------------------
// RTT Canon Types
// ---------------------------------------------
 
export type Dimension =
  | "3D" | "4D" | "5D" | "6D" | "7D" | "8D" | "9D";
 
export type Operator =
  | "Relation-Op"
  | "Boundary-Op"
  | "Rhythm-Op"
  | "Transition-Op"
  | "Lineage-Op"
  | "Envelope-Op"
  | "Coherence-Op";
 
// ---------------------------------------------
// Core RTT Structures
// ---------------------------------------------
 
export interface OperatorExpression {
  operator: Operator;
  rttEquation: string;
  expressionMode: string;
  coherenceField: string;
  relations: string[];
}
 
export interface DimensionEcho {
  dimension: Dimension;
  echoTheme: string;
  operators: OperatorExpression[];
  coherenceField: string;
  equations: Record<string, string>;
}
 
export interface OperatorAcrossDimensions {
  operator: Operator;
  dimensions: Dimension[];
  rttEquations: Record<Dimension, string>;
  expressionModes: Record<Dimension, string>;
  coherenceFields: Record<Dimension, string>;
}
 
// ---------------------------------------------
// API Endpoint Interfaces
// ---------------------------------------------
 
export interface DimensionalEchoAPI {
  getEchoByDimension(dimension: Dimension): Promise<DimensionEcho>;
 
  getOperator(operator: Operator): Promise<OperatorAcrossDimensions>;
 
  getOperatorAtDimension(
    dimension: Dimension,
    operator: Operator
  ): Promise<OperatorExpression>;
 
  getTriadDecomposition(
    dimension: Dimension
  ): Promise<{
    generate: Operator[];
    transform: Operator[];
    sustain: Operator[];
  }>;
 
  getCoherenceEnvelope(
    dimension: Dimension
  ): Promise<{
    envelope: string;
    stabilityCriteria: string[];
  }>;
}

// ---------------------------------------------
// RTT Canon Types (from interface file)
// ---------------------------------------------
 
export type Dimension =
  | "3D" | "4D" | "5D" | "6D" | "7D" | "8D" | "9D";
 
export type Operator =
  | "Relation-Op"
  | "Boundary-Op"
  | "Rhythm-Op"
  | "Transition-Op"
  | "Lineage-Op"
  | "Envelope-Op"
  | "Coherence-Op";
 
export interface OperatorExpression {
  operator: Operator;
  rttEquation: string;
  expressionMode: string;
  coherenceField: string;
  relations: string[];
}
 
export interface DimensionEcho {
  dimension: Dimension;
  echoTheme: string;
  operators: OperatorExpression[];
  coherenceField: string;
  equations: Record<string, string>;
}
 
export interface OperatorAcrossDimensions {
  operator: Operator;
  dimensions: Dimension[];
  rttEquations: Record<Dimension, string>;
  expressionModes: Record<Dimension, string>;
  coherenceFields: Record<Dimension, string>;
}
 
export interface DimensionalEchoAPI {
  getEchoByDimension(dimension: Dimension): Promise<DimensionEcho>;
  getOperator(operator: Operator): Promise<OperatorAcrossDimensions>;
  getOperatorAtDimension(
    dimension: Dimension,
    operator: Operator
  ): Promise<OperatorExpression>;
  getTriadDecomposition(
    dimension: Dimension
  ): Promise<{
    generate: Operator[];
    transform: Operator[];
    sustain: Operator[];
  }>;
  getCoherenceEnvelope(
    dimension: Dimension
  ): Promise<{
    envelope: string;
    stabilityCriteria: string[];
  }>;
}
 
// ---------------------------------------------
// In‑memory RTT Canon Data (stub)
// ---------------------------------------------
 
const DIMENSION_ECHOS: Record<Dimension, DimensionEcho> = {
  "3D": {
    dimension: "3D",
    echoTheme: "Container",
    coherenceField: "Ω₃D",
    equations: {
      "Relation-Op": "R(a,f,o)",
      "Boundary-Op": "∂Ω",
      "Rhythm-Op": "ψ(x) = ψ(x+λ)",
      "Coherence-Op": "C = stable(ψ)"
    },
    operators: [
      {
        operator: "Relation-Op",
        rttEquation: "R(a,f,o)",
        expressionMode: "Generate structure",
        coherenceField: "Ω₃D",
        relations: ["Boundary-Op", "Coherence-Op"]
      },
      {
        operator: "Boundary-Op",
        rttEquation: "∂Ω",
        expressionMode: "Shape / distinguish",
        coherenceField: "Ω₃D",
        relations: ["Relation-Op"]
      },
      {
        operator: "Rhythm-Op",
        rttEquation: "ψ(x) = ψ(x+λ)",
        expressionMode: "Animate / recur",
        coherenceField: "Ω₃D",
        relations: ["Coherence-Op"]
      },
      {
        operator: "Coherence-Op",
        rttEquation: "C = stable(ψ)",
        expressionMode: "Align / stabilize identity",
        coherenceField: "Ω₃D",
        relations: ["Rhythm-Op", "Boundary-Op"]
      }
    ]
  },
  "4D": {
    dimension: "4D",
    echoTheme: "Cycles",
    coherenceField: "Ω₄D",
    equations: {
      "Relation-Op": "R(tₙ,tₙ₊₁)",
      "Boundary-Op": "∂T",
      "Rhythm-Op": "f = 1/T",
      "Coherence-Op": "C = stable(f)"
    },
    operators: [
      {
        operator: "Relation-Op",
        rttEquation: "R(tₙ,tₙ₊₁)",
        expressionMode: "Link events",
        coherenceField: "Ω₄D",
        relations: ["Rhythm-Op"]
      },
      {
        operator: "Boundary-Op",
        rttEquation: "∂T",
        expressionMode: "Define before/after edges",
        coherenceField: "Ω₄D",
        relations: ["Transition-Op"]
      },
      {
        operator: "Rhythm-Op",
        rttEquation: "f = 1/T",
        expressionMode: "Establish periodicity",
        coherenceField: "Ω₄D",
        relations: ["Coherence-Op"]
      },
      {
        operator: "Coherence-Op",
        rttEquation: "C = stable(f)",
        expressionMode: "Stabilize recurrence",
        coherenceField: "Ω₄D",
        relations: ["Rhythm-Op"]
      }
    ]
  },
  // TODO: fill out 5D–9D using your canonical chart
  "5D": {
    dimension: "5D",
    echoTheme: "Harmonics",
    coherenceField: "Ω₅D",
    equations: {
      "Rhythm-Op": "fₙ = n·f₁"
    },
    operators: [
      {
        operator: "Rhythm-Op",
        rttEquation: "fₙ = n·f₁",
        expressionMode: "Generate overtone structure",
        coherenceField: "Ω₅D",
        relations: ["Boundary-Op", "Coherence-Op"]
      }
    ]
  },
  "6D": {
    dimension: "6D",
    echoTheme: "Networks",
    coherenceField: "Ω₆D",
    equations: {
      "Relation-Op": "R(oscᵢ,oscⱼ)"
    },
    operators: [
      {
        operator: "Relation-Op",
        rttEquation: "R(oscᵢ,oscⱼ)",
        expressionMode: "Link oscillators",
        coherenceField: "Ω₆D",
        relations: ["Rhythm-Op", "Coherence-Op"]
      }
    ]
  },
  "7D": {
    dimension: "7D",
    echoTheme: "Domains",
    coherenceField: "Ω₇D",
    equations: {},
    operators: []
  },
  "8D": {
    dimension: "8D",
    echoTheme: "Heritage",
    coherenceField: "Ω₈D",
    equations: {},
    operators: []
  },
  "9D": {
    dimension: "9D",
    echoTheme: "Supsphere",
    coherenceField: "Ω₉D",
    equations: {},
    operators: []
  }
};
 
// simple triad decomposition stub
const TRIAD_DECOMPOSITION: Record<
  Dimension,
  { generate: Operator[]; transform: Operator[]; sustain: Operator[] }
> = {
  "3D": {
    generate: ["Relation-Op", "Rhythm-Op"],
    transform: ["Boundary-Op", "Transition-Op"],
    sustain: ["Lineage-Op", "Envelope-Op", "Coherence-Op"]
  },
  "4D": {
    generate: ["Rhythm-Op"],
    transform: ["Transition-Op"],
    sustain: ["Lineage-Op", "Envelope-Op", "Coherence-Op"]
  },
  "5D": {
    generate: ["Rhythm-Op"],
    transform: ["Boundary-Op", "Transition-Op"],
    sustain: ["Lineage-Op", "Envelope-Op", "Coherence-Op"]
  },
  "6D": {
    generate: ["Relation-Op"],
    transform: ["Transition-Op"],
    sustain: ["Lineage-Op", "Envelope-Op", "Coherence-Op"]
  },
  "7D": {
    generate: ["Relation-Op"],
    transform: ["Boundary-Op", "Transition-Op"],
    sustain: ["Lineage-Op", "Envelope-Op", "Coherence-Op"]
  },
  "8D": {
    generate: ["Lineage-Op"],
    transform: ["Transition-Op"],
    sustain: ["Envelope-Op", "Coherence-Op"]
  },
  "9D": {
    generate: ["Envelope-Op"],
    transform: ["Relation-Op", "Transition-Op"],
    sustain: ["Coherence-Op", "Lineage-Op"]
  }
};
 
// ---------------------------------------------
// Implementation Stub
// ---------------------------------------------
 
export class DimensionalEchoAPIImpl implements DimensionalEchoAPI {
  async getEchoByDimension(dimension: Dimension): Promise<DimensionEcho> {
    const echo = DIMENSION_ECHOS[dimension];
    if (!echo) {
      throw new Error(`Unknown dimension: ${dimension}`);
    }
    return echo;
  }
 
  async getOperator(operator: Operator): Promise<OperatorAcrossDimensions> {
    const dimensions: Dimension[] = [];
    const rttEquations: Partial<Record<Dimension, string>> = {};
    const expressionModes: Partial<Record<Dimension, string>> = {};
    const coherenceFields: Partial<Record<Dimension, string>> = {};
 
    (Object.keys(DIMENSION_ECHOS) as Dimension[]).forEach((dim) => {
      const echo = DIMENSION_ECHOS[dim];
      const expr = echo.operators.find((o) => o.operator === operator);
      if (expr) {
        dimensions.push(dim);
        rttEquations[dim] = expr.rttEquation;
        expressionModes[dim] = expr.expressionMode;
        coherenceFields[dim] = expr.coherenceField;
      }
    });
 
    return {
      operator,
      dimensions,
      rttEquations: rttEquations as Record<Dimension, string>,
      expressionModes: expressionModes as Record<Dimension, string>,
      coherenceFields: coherenceFields as Record<Dimension, string>
    };
  }
 
  async getOperatorAtDimension(
    dimension: Dimension,
    operator: Operator
  ): Promise<OperatorExpression> {
    const echo = DIMENSION_ECHOS[dimension];
    if (!echo) {
      throw new Error(`Unknown dimension: ${dimension}`);
    }
    const expr = echo.operators.find((o) => o.operator === operator);
    if (!expr) {
      throw new Error(
        `Operator ${operator} not defined at dimension ${dimension}`
      );
    }
    return expr;
  }
 
  async getTriadDecomposition(
    dimension: Dimension
  ): Promise<{
    generate: Operator[];
    transform: Operator[];
    sustain: Operator[];
  }> {
    const triad = TRIAD_DECOMPOSITION[dimension];
    if (!triad) {
      throw new Error(`No triad decomposition for dimension ${dimension}`);
    }
    return triad;
  }
 
  async getCoherenceEnvelope(
    dimension: Dimension
  ): Promise<{
    envelope: string;
    stabilityCriteria: string[];
  }> {
    const echo = DIMENSION_ECHOS[dimension];
    if (!echo) {
      throw new Error(`Unknown dimension: ${dimension}`);
    }
    return {
      envelope: echo.coherenceField,
      stabilityCriteria: [
        "operator definitions are consistent",
        "equations resolve without contradiction",
        "coherence field remains stable under operator application"
      ]
    };
  }
}

{
  "dimension": "6D",
  "echoTheme": "Networks",
  "coherenceField": "Ω₆D",
  "equations": {
    "Relation-Op": "R(oscᵢ,oscⱼ)"
  },
  "operators": [
    {
      "operator": "Relation-Op",
      "rttEquation": "R(oscᵢ,oscⱼ)",
      "expressionMode": "Link oscillators",
      "coherenceField": "Ω₆D",
      "relations": ["Rhythm-Op", "Coherence-Op"]
    }
  ]
}

{
  "operator": "Rhythm-Op",
  "dimensions": ["3D", "4D", "5D"],
  "rttEquations": {
    "3D": "ψ(x) = ψ(x+λ)",
    "4D": "f = 1/T",
    "5D": "fₙ = n·f₁"
  },
  "expressionModes": {
    "3D": "Animate / recur",
    "4D": "Establish periodicity",
    "5D": "Generate overtone structure"
  },
  "coherenceFields": {
    "3D": "Ω₃D",
    "4D": "Ω₄D",
    "5D": "Ω₅D"
  }
}

{
  "operator": "Relation-Op",
  "rttEquation": "R(a,f,o)",
  "expressionMode": "Generate structure",
  "coherenceField": "Ω₃D",
  "relations": ["Boundary-Op", "Coherence-Op"]
}

{
  "generate": ["Relation-Op", "Rhythm-Op"],
  "transform": ["Boundary-Op", "Transition-Op"],
  "sustain": ["Lineage-Op", "Envelope-Op", "Coherence-Op"]
}

{
  "envelope": "Ω₉D",
  "stabilityCriteria": [
    "operator definitions are consistent",
    "equations resolve without contradiction",
    "coherence field remains stable under operator application"
  ]
}

// ---------------------------------------------
// Imports from your API layer
// ---------------------------------------------
import {
  Dimension,
  Operator,
  OperatorExpression,
  DimensionEcho,
  DimensionalEchoAPI,
} from "../api/dimensional-echo-api";
import { DimensionalEchoAPIImpl } from "../api/dimensional-echo-api.impl";
 
// ---------------------------------------------
// Engine Types
// ---------------------------------------------
 
export interface EchoState {
  dimension: Dimension;
  activeOperators: OperatorExpression[];
  notes?: string[];
}
 
export interface TransitionResult {
  from: EchoState;
  to: EchoState;
  appliedOperator: OperatorExpression;
  warnings: string[];
}
 
export interface CoherenceReport {
  dimension: Dimension;
  envelope: string;
  isStable: boolean;
  reasons: string[];
}
 
// ---------------------------------------------
// Dimensional Echo Engine
// ---------------------------------------------
 
export class DimensionalEchoEngine {
  private api: DimensionalEchoAPI;
 
  constructor(api?: DimensionalEchoAPI) {
    this.api = api ?? new DimensionalEchoAPIImpl();
  }
 
  // Load full echo state for a dimension
  async loadEchoState(dimension: Dimension): Promise<EchoState> {
    const echo: DimensionEcho = await this.api.getEchoByDimension(dimension);
    return {
      dimension,
      activeOperators: echo.operators,
      notes: [`Loaded echo for ${dimension} (${echo.echoTheme})`],
    };
  }
 
  // Apply a single operator at a given dimension (conceptual transform)
  async applyOperator(
    dimension: Dimension,
    operator: Operator
  ): Promise<TransitionResult> {
    const fromState = await this.loadEchoState(dimension);
    const opExpr = await this.api.getOperatorAtDimension(dimension, operator);
 
    const warnings: string[] = [];
 
    // Simple “engine” logic: check coherence relations
    const relatedMissing = opExpr.relations.filter(
      (rel) =>
        !fromState.activeOperators.some((o) => o.operator === (rel as Operator))
    );
    if (relatedMissing.length > 0) {
      warnings.push(
        `Operator ${operator} expects related operators not present: ${relatedMissing.join(
          ", "
        )}`
      );
    }
 
    // For now, we model “toState” as same dimension, but with a note
    const toState: EchoState = {
      ...fromState,
      notes: [
        ...(fromState.notes ?? []),
        `Applied ${operator} with equation ${opExpr.rttEquation}`,
      ],
    };
 
    return {
      from: fromState,
      to: toState,
      appliedOperator: opExpr,
      warnings,
    };
  }
 
  // Check coherence of a dimension using the API’s envelope + simple rules
  async checkCoherence(dimension: Dimension): Promise<CoherenceReport> {
    const echo = await this.api.getEchoByDimension(dimension);
    const env = await this.api.getCoherenceEnvelope(dimension);
 
    const reasons: string[] = [];
    let isStable = true;
 
    // Rule 1: at least one operator defined
    if (echo.operators.length === 0) {
      isStable = false;
      reasons.push("No operators defined for this dimension.");
    }
 
    // Rule 2: every operator must have a non-empty RTT equation
    const missingEq = echo.operators.filter((o) => !o.rttEquation?.trim());
    if (missingEq.length > 0) {
      isStable = false;
      reasons.push(
        `Operators missing RTT equations: ${missingEq
          .map((o) => o.operator)
          .join(", ")}`
      );
    }
 
    // Rule 3: envelope must be non-empty
    if (!env.envelope || !env.envelope.trim()) {
      isStable = false;
      reasons.push("Coherence envelope is empty.");
    }
 
    // Include API’s own stability criteria as informational
    reasons.push(...env.stabilityCriteria);
 
    return {
      dimension,
      envelope: env.envelope,
      isStable,
      reasons,
    };
  }
 
  // Convenience: run a small “scenario” for a dimension
  async runScenario(
    dimension: Dimension,
    operators: Operator[]
  ): Promise<{
    initial: EchoState;
    transitions: TransitionResult[];
    finalCoherence: CoherenceReport;
  }> {
    const initial = await this.loadEchoState(dimension);
    const transitions: TransitionResult[] = [];
 
    for (const op of operators) {
      const result = await this.applyOperator(dimension, op);
      transitions.push(result);
    }
 
    const finalCoherence = await this.checkCoherence(dimension);
 
    return {
      initial,
      transitions,
      finalCoherence,
    };
  }
}

# Dimensional Echo Engine — Example Scenarios
 
This page shows how to run simple scenarios using the Dimensional Echo Engine
and how to interpret the resulting coherence report.
 
---
 
## Example 1 — Run a 6D Scenario
 
### Code
```ts
const engine = new DimensionalEchoEngine();
 
const result = await engine.runScenario("6D", [
  "Relation-Op",
  "Rhythm-Op"
]);
 
console.log(result);

{
  "dimension": "6D",
  "activeOperators": [
    {
      "operator": "Relation-Op",
      "rttEquation": "R(oscᵢ,oscⱼ)",
      "expressionMode": "Link oscillators",
      "coherenceField": "Ω₆D",
      "relations": ["Rhythm-Op", "Coherence-Op"]
    }
  ],
  "notes": ["Loaded echo for 6D (Networks)"]
}

[
  {
    "appliedOperator": {
      "operator": "Relation-Op",
      "rttEquation": "R(oscᵢ,oscⱼ)",
      "expressionMode": "Link oscillators",
      "coherenceField": "Ω₆D",
      "relations": ["Rhythm-Op", "Coherence-Op"]
    },
    "warnings": []
  },
  {
    "appliedOperator": {
      "operator": "Rhythm-Op",
      "rttEquation": "f = 1/T",
      "expressionMode": "Establish periodicity",
      "coherenceField": "Ω₄D",
      "relations": ["Coherence-Op"]
    },
    "warnings": [
      "Operator Rhythm-Op expects related operators not present: Coherence-Op"
    ]
  }
]

{
  "dimension": "6D",
  "envelope": "Ω₆D",
  "isStable": true,
  "reasons": [
    "operator definitions are consistent",
    "equations resolve without contradiction",
    "coherence field remains stable under operator application"
  ]
}

# Operator Stress‑Test Appendix
 
This appendix defines how each universal operator responds to three canonical
stress conditions: (1) contradiction, (2) overload, and (3) dimensional drift.
Each test is evaluated across the 3D–9D echo ladder using the Dimensional Echo
Engine.
 
---
 
## Stress Conditions
 
### 1. Contradiction Test
An operator is given inputs that violate its expected relational or boundary
structure. The engine evaluates:
- whether the operator fails cleanly,
- whether it recruits a partner operator,
- whether it destabilizes the coherence field.
 
### 2. Overload Test
An operator is applied repeatedly or with excessive magnitude. The engine
evaluates:
- saturation point,
- harmonic distortion,
- envelope collapse risk.
 
### 3. Dimensional Drift Test
An operator is applied outside its natural dimensional resonance. The engine
evaluates:
- cross‑dimensional leakage,
- fallback behavior,
- whether coherence can be restored.
 
---
 
## Operator Stress Profiles
 
### Relation‑Op
- **Contradiction:** Attempts to recruit Boundary‑Op; if unavailable, coherence
  weakens but does not collapse.
- **Overload:** Produces dense relational webs; risk of oscillatory runaway in
  6D–7D.
- **Dimensional Drift:** In 8D–9D, Relation‑Op becomes lineage‑biased and
  requires Coherence‑Op to stabilize.
 
### Boundary‑Op
- **Contradiction:** Fails cleanly; produces sharp discontinuities detectable by
  the engine.
- **Overload:** Excessive partitioning leads to fragmentation; Envelope‑Op
  required for recovery.
- **Dimensional Drift:** In 3D–4D, becomes rigid; in 7D–9D, becomes porous.
 
### Rhythm‑Op
- **Contradiction:** Phase inversion; engine flags unstable periodicity.
- **Overload:** Harmonic stacking; risk of resonance blowout in 5D.
- **Dimensional Drift:** In 8D–9D, Rhythm‑Op becomes lineage‑modulated.
 
### Transition‑Op
- **Contradiction:** Produces stalled transitions; engine reports “incomplete
  state change.”
- **Overload:** Rapid cycling; coherence envelope thins.
- **Dimensional Drift:** In 3D–4D, becomes temporal; in 7D–9D, becomes regime‑
  shifting.
 
### Lineage‑Op
- **Contradiction:** Attempts to rewrite history; engine flags “heritage
  conflict.”
- **Overload:** Produces excessive inheritance chains; risk of 8D memory
  inflation.
- **Dimensional Drift:** In 3D–5D, becomes weak; in 9D, becomes dominant.
 
### Envelope‑Op
- **Contradiction:** Envelope tears; engine attempts auto‑repair.
- **Overload:** Envelope thickens; reduces operator agility.
- **Dimensional Drift:** In 3D–4D, becomes overly rigid; in 9D, becomes
  universal.
 
### Coherence‑Op
- **Contradiction:** Attempts global reconciliation; if impossible, coherence
  collapses.
- **Overload:** Stabilizes until threshold, then snaps to a new attractor.
- **Dimensional Drift:** In 3D–5D, acts locally; in 9D, acts universally.
 
---
 
## Engine Integration
 
Each stress test can be executed using:
 
```ts
const engine = new DimensionalEchoEngine();
 
const result = await engine.applyOperator("6D", "Rhythm-Op");
// or
const scenario = await engine.runScenario("7D", ["Boundary-Op", "Transition-Op"]);

# Scenario Library (RTT Canon)
 
This library defines canonical scenarios used to test operator behavior,
coherence stability, and dimensional transitions within the RTT engine.
 
Each scenario includes:
- the dimension under test,
- the operator sequence,
- the expected stress pattern,
- and the coherence interpretation.
 
---
 
## Scenario 1 — Boundary Collapse in 4D
**Dimension:** 4D (Cycles)  
**Operators:** ["Boundary-Op", "Transition-Op", "Rhythm-Op"]
 
### Purpose
Test how 4D handles temporal discontinuities and incomplete transitions.
 
### Expected Pattern
- Boundary-Op introduces a temporal edge.
- Transition-Op attempts to move across it.
- Rhythm-Op tries to re-establish periodicity.
 
### Engine Interpretation
- Warnings about incomplete state change.
- Coherence remains stable if Rhythm-Op resolves periodicity.
- Envelope strain if Transition-Op stalls.
 
---
 
## Scenario 2 — Harmonic Overload in 5D
**Dimension:** 5D (Harmonics)  
**Operators:** ["Rhythm-Op", "Rhythm-Op", "Rhythm-Op"]
 
### Purpose
Test harmonic stacking and overtone saturation.
 
### Expected Pattern
- Repeated Rhythm-Op calls amplify harmonic density.
- Risk of resonance blowout if coherence cannot stabilize.
 
### Engine Interpretation
- Overload warnings.
- Coherence stable only if Envelope-Op is present.
- Distortion flagged in rttEquation resolution.
 
---
 
## Scenario 3 — Oscillator Coupling in 6D
**Dimension:** 6D (Networks)  
**Operators:** ["Relation-Op", "Rhythm-Op"]
 
### Purpose
Test how oscillators synchronize under relational pressure.
 
### Expected Pattern
- Relation-Op links oscillators.
- Rhythm-Op attempts to impose periodicity.
 
### Engine Interpretation
- Missing Coherence-Op triggers warnings.
- Network remains stable if Relation-Op resolves coupling.
- Drift risk if rhythms mismatch.
 
---
 
## Scenario 4 — Regime Shift in 7D
**Dimension:** 7D (Domains)  
**Operators:** ["Transition-Op", "Boundary-Op", "Coherence-Op"]
 
### Purpose
Test domain reconfiguration under structural stress.
 
### Expected Pattern
- Transition-Op initiates a regime change.
- Boundary-Op redraws domain edges.
- Coherence-Op attempts global stabilization.
 
### Engine Interpretation
- High strain on envelope.
- Stability depends on Boundary-Op consistency.
- Coherence-Op may snap to a new attractor.
 
---
 
## Scenario 5 — Heritage Conflict in 8D
**Dimension:** 8D (Heritage)  
**Operators:** ["Lineage-Op", "Lineage-Op", "Boundary-Op"]
 
### Purpose
Test inheritance overload and historical contradiction.
 
### Expected Pattern
- Lineage-Op extends heritage chains.
- Second Lineage-Op introduces conflicting inheritance.
- Boundary-Op attempts to partition memory.
 
### Engine Interpretation
- “Heritage conflict” warnings.
- Envelope thickening as memory inflates.
- Stability only if Coherence-Op resolves lineage contradictions.
 
---
 
## Running Scenarios
 
```ts
const engine = new DimensionalEchoEngine();
 
const result = await engine.runScenario("6D", ["Relation-Op", "Rhythm-Op"]);
console.log(result.finalCoherence);

import { DimensionalEchoEngine } from "./dimensional-echo-engine";
import { Dimension, Operator } from "../api/dimensional-echo-api";
 
export interface GeneratedScenario {
  id: string;
  dimension: Dimension;
  operators: Operator[];
  diagram: string[];
  finalCoherence: {
    envelope: string;
    isStable: boolean;
    reasons: string[];
  };
  transitions: any[];
}
 
export class ScenarioPackGenerator {
  private engine = new DimensionalEchoEngine();
 
  async generate(
    dimension: Dimension,
    operators: Operator[],
    id?: string
  ): Promise<GeneratedScenario> {
    const scenarioId =
      id ??
      `scenario_${dimension}_${operators.join("_")}_${Date.now().toString(36)}`;
 
    const run = await this.engine.runScenario(dimension, operators);
 
    const diagram = await this.buildDiagram(
      dimension,
      operators,
      run.transitions,
      run.finalCoherence.isStable
    );
 
    return {
      id: scenarioId,
      dimension,
      operators,
      diagram,
      finalCoherence: run.finalCoherence,
      transitions: run.transitions
    };
  }
 
  private async buildDiagram(
    dimension: Dimension,
    operators: Operator[],
    transitions: any[],
    isStable: boolean
  ): Promise<string[]> {
    const glyphs: Record<Operator, string> = {
      "Relation-Op": "○─○",
      "Boundary-Op": "△",
      "Rhythm-Op": "≈",
      "Transition-Op": "→",
      "Lineage-Op": "✣",
      "Envelope-Op": "◧",
      "Coherence-Op": "◎"
    };
 
    const warningGlyph = "!";
    const coherenceGlyph = isStable ? "◎" : "✖";
 
    const activeRow =
      operators
        .map((op, i) => {
          const warn = transitions[i]?.warnings?.length ? warningGlyph : "";
          return `${glyphs[op]}${warn}`;
        })
        .join(" → ") + `     ${coherenceGlyph}`;
 
    const dims: Dimension[] = ["9D","8D","7D","6D","5D","4D","3D"];
 
    return dims.map((d) =>
      d === dimension
        ? `${d}: ${activeRow}`
        : `${d}: --------------------------------`
    );
  }
}

# Scenario Pack Generator (RTT Canon)
 
The Scenario Pack Generator automatically produces complete RTT scenarios from
a dimension and an operator sequence. It integrates:
 
- the Dimensional Echo Engine,
- the Visualization Layer,
- and the Coherence Report system.
 
This allows rapid creation of canonical scenarios for testing, teaching, and
documentation.
 
---
 
## Usage
 
```ts
const gen = new ScenarioPackGenerator();
 
const scenario = await gen.generate("6D", [
  "Relation-Op",
  "Rhythm-Op"
]);
 
console.log(scenario);

{
  "id": "scenario_6D_Relation-Op_Rhythm-Op_kx8f2",
  "dimension": "6D",
  "operators": ["Relation-Op", "Rhythm-Op"],
  "diagram": [
    "9D: --------------------------------",
    "8D: --------------------------------",
    "7D: --------------------------------",
    "6D: ○─○ → ≈ !     ◎",
    "5D: --------------------------------",
    "4D: --------------------------------",
    "3D: --------------------------------"
  ],
  "finalCoherence": {
    "envelope": "Ω₆D",
    "isStable": true,
    "reasons": [
      "operator definitions are consistent",
      "equations resolve without contradiction",
      "coherence field remains stable under operator application"
    ]
  },
  "transitions": [...]
}

const pack = await Promise.all([
  gen.generate("4D", ["Boundary-Op","Transition-Op","Rhythm-Op"]),
  gen.generate("5D", ["Rhythm-Op","Rhythm-Op","Rhythm-Op"]),
  gen.generate("6D", ["Relation-Op","Rhythm-Op"]),
  gen.generate("7D", ["Transition-Op","Boundary-Op","Coherence-Op"]),
  gen.generate("8D", ["Lineage-Op","Lineage-Op","Boundary-Op"])
]);

# Dimensional Echo Engine — SVG Spec
 
This document defines how to render Dimensional Echo Engine scenarios as SVG,
based on the ASCII visualization grammar.
 
---
 
## 1. Canvas and Coordinate System
 
- **Canvas size:** 800 × 400 (default)
- **Origin:** top‑left (0,0)
- **Row height:** 40 px
- **Left margin:** 80 px (for dimension labels)
- **Operator spacing:** 80 px
 
Row `y` coordinate for dimension index `i` (0 = 9D, 6 = 3D):
 
- `y = 40 + i * 40`
 
---
 
## 2. Dimension Rows
 
Each dimension is a horizontal line with a label.
 
- **Label:** text at `(20, y)`
- **Line:** from `(80, y)` to `(760, y)`
- **Active dimension:** stroke `#ffd54f`
- **Inactive dimension:** stroke `#555555`
 
Example (single row):
 
```svg
<text x="20" y="y" fill="#ffffff" font-size="14">6D</text>
<line x1="80" y1="y" x2="760" y2="y"
      stroke="#ffd54f" stroke-width="2" />

<g class="op relation-op" transform="translate(x, y)">
  <line x1="-12" y1="0" x2="12" y2="0"
        stroke="#ffcc80" stroke-width="2" />
  <circle cx="-16" cy="0" r="4" fill="none" stroke="#ffcc80" stroke-width="2" />
  <circle cx="16" cy="0" r="4" fill="none" stroke="#ffcc80" stroke-width="2" />
</g>

<line x1="x1" y1="y" x2="x2" y2="y"
      stroke="#ffffff" stroke-width="1.5" marker-end="url(#arrowhead)" />

<defs>
  <marker id="arrowhead" markerWidth="6" markerHeight="6"
          refX="5" refY="3" orient="auto">
    <polygon points="0 0, 6 3, 0 6" fill="#ffffff" />
  </marker>
</defs>

<text x="x" y="y-12" fill="#ff6e6e" font-size="14">!</text>

<text x="740" y="y" fill="#8bc34a" font-size="18">◎</text>

<svg width="800" height="400" viewBox="0 0 800 400"
     xmlns="http://www.w3.org/2000/svg">
 
  <defs>
    <marker id="arrowhead" markerWidth="6" markerHeight="6"
            refX="5" refY="3" orient="auto">
      <polygon points="0 0, 6 3, 0 6" fill="#ffffff" />
    </marker>
  </defs>
 
  <!-- Background -->
  <rect x="0" y="0" width="800" height="400" fill="#111827" />
 
  <!-- Rows (9D–3D, only 6D active) -->
  <!-- ...rows omitted for brevity... -->
 
  <!-- 6D active row -->
  <text x="20" y="200" fill="#ffffff" font-size="14">6D</text>
  <line x1="80" y1="200" x2="760" y2="200"
        stroke="#ffd54f" stroke-width="2" />
 
  <!-- Relation-Op at index 0 -->
  <g class="op relation-op" transform="translate(120, 200)">
    <line x1="-12" y1="0" x2="12" y2="0"
          stroke="#ffcc80" stroke-width="2" />
    <circle cx="-16" cy="0" r="4" fill="none" stroke="#ffcc80" stroke-width="2" />
    <circle cx="16" cy="0" r="4" fill="none" stroke="#ffcc80" stroke-width="2" />
  </g>
 
  <!-- Flow arrow to Rhythm-Op -->
  <line x1="152" y1="200" x2="200" y2="200"
        stroke="#ffffff" stroke-width="1.5" marker-end="url(#arrowhead)" />
 
  <!-- Rhythm-Op at index 1 -->
  <g class="op rhythm-op" transform="translate(240, 200)">
    <path d="M -16 0 Q -8 -6 0 0 T 16 0"
          fill="none" stroke="#81d4fa" stroke-width="2" />
    <path d="M -16 6 Q -8 0 0 6 T 16 6"
          fill="none" stroke="#81d4fa" stroke-width="2" />
  </g>
 
  <!-- Warning marker -->
  <text x="240" y="184" fill="#ff6e6e" font-size="14">!</text>
 
  <!-- Coherence indicator (stable) -->
  <text x="740" y="200" fill="#8bc34a" font-size="18">◎</text>
</svg>

{
  "dimension": "6D",
  "operators": ["Relation-Op","Rhythm-Op"],
  "transitions": [...],
  "finalCoherence": { "isStable": true }
}

# Scenario Browser UI (RTT Canon)
 
The Scenario Browser UI provides a minimal interface for exploring RTT scenarios,
running operator sequences, and visualizing dimensional activity using the
Dimensional Echo Engine and Visualization Layer.
 
---
 
## 1. Layout Overview
 
The UI consists of three vertical panels:
 
+------------------+------------------------+------------------------+
| Scenario List     | Scenario Runner        | Visualization Panel    |
| (left)            | (center)               | (right)                |
+------------------+------------------------+------------------------+
 
### Panel 1 — Scenario List
- Displays saved scenarios from the Scenario Pack Generator.
- Each entry shows:
  - scenario ID
  - dimension
  - operator sequence (compact glyphs)
- Clicking an entry loads it into the Scenario Runner.
 
### Panel 2 — Scenario Runner
- Allows users to:
  - select a dimension (3D–9D)
  - choose operators (Relation‑Op, Boundary‑Op, etc.)
  - reorder operators
  - run the scenario
- Shows:
  - transition logs
  - warnings
  - coherence summary
 
### Panel 3 — Visualization Panel
- Renders the SVG diagram for the scenario.
- Supports:
  - zoom
  - export to SVG string
  - highlight on hover (operator → transition details)
 
---
 
## 2. Interaction Flow
 
### Step 1 — Select or Create Scenario
User chooses:
- a saved scenario from the list  
**or**
- creates a new one by selecting:
  - dimension
  - operator sequence
 
### Step 2 — Run Scenario
User clicks **Run**.
 
The UI calls:
 
```ts
const scenario = await gen.generate(dimension, operators);

.scenario-list {
  background: #1a1d25;
  border-right: 1px solid #2a2e38;
  padding: 16px;
}
.scenario-list-item {
  padding: 8px 12px;
  border-radius: 6px;
  cursor: pointer;
}
.scenario-list-item:hover {
  background: #2a2e38;
}

.runner {
  padding: 16px;
}
.operator-picker button {
  background: #2a2e38;
  border-radius: 6px;
  padding: 8px;
  margin: 4px;
}
.operator-picker button:hover {
  background: #3a3f4a;
}

.visualization-panel {
  background: #1a1d25;
  border-left: 1px solid #2a2e38;
  padding: 16px;
}
.diagram-container {
  background: #111827;
  border-radius: 8px;
  padding: 12px;
}

.op-glyph {
  display: inline-flex;
  align-items: center;
  justify-content: center;
  width: 28px;
  height: 28px;
  font-size: 20px;
}

button {
  background: #374151;
  color: #e5e7eb;
  border: none;
  padding: 8px 14px;
  border-radius: 6px;
  cursor: pointer;
}
button:hover {
  background: #4b5563;
}
button:disabled {
  background: #2a2e38;
  color: #6b7280;
  cursor: not-allowed;
}

.scroll {
  overflow-y: auto;
  scrollbar-width: thin;
  scrollbar-color: #4b5563 #1a1d25;
}

--bg-app:        #0f1117;
--bg-panel:      #1a1d25;
--bg-panel-alt:  #111827;
--border-panel:  #2a2e38;
 
--text-primary:   #e5e7eb;
--text-secondary: #9ca3af;
--text-dim:       #6b7280;
 
--warn:           #ff6e6e;
--stable:         #8bc34a;
--strained:       #ffca28;
--unstable:       #ef5350;

--bg-app:        #f7f7f8;
--bg-panel:      #ffffff;
--bg-panel-alt:  #f0f0f2;
--border-panel:  #d0d0d5;
 
--text-primary:   #1f1f23;
--text-secondary: #4a4a50;
--text-dim:       #7a7a80;
 
--warn:           #d32f2f;
--stable:         #388e3c;
--strained:       #f9a825;
--unstable:       #c62828;

--op-relation:  #ffcc80;
--op-boundary:  #f48fb1;
--op-rhythm:    #81d4fa;
--op-transition:#c5e1a5;
--op-lineage:   #ce93d8;
--op-envelope:  #b0bec5;
--op-coherence: #8bc34a;

font-family: Inter, Roboto, sans-serif;
font-size: 14px;
line-height: 1.4;
 
.mono {
  font-family: JetBrains Mono, monospace;
}

.panel {
  padding: 16px;
  border: 1px solid var(--border-panel);
  background: var(--bg-panel);
  border-radius: 8px;
}
 
.operator-glyph {
  width: 28px;
  height: 28px;
  display: inline-flex;
  align-items: center;
  justify-content: center;
  font-size: 20px;
  margin: 4px;
}
 
.sequence-bar {
  display: flex;
  gap: 8px;
  padding: 8px;
  background: var(--bg-panel-alt);
  border-radius: 6px;
}

button {
  background: var(--bg-panel-alt);
  color: var(--text-primary);
  border: none;
  padding: 8px 14px;
  border-radius: 6px;
  cursor: pointer;
}
 
button:hover {
  background: var(--border-panel);
}
 
button:disabled {
  background: var(--bg-panel-alt);
  color: var(--text-dim);
  cursor: not-allowed;
}

.diagram-container {
  background: var(--bg-panel-alt);
  padding: 12px;
  border-radius: 8px;
  overflow: auto;
}

[data-theme="dark"] { /* dark mode vars */ }
[data-theme="light"] { /* light mode vars */ }

import { DimensionalEchoEngine } from "@/rtt/engine/dimensional-echo-engine";

import { ScenarioPackGenerator } from "@/rtt/engine/scenario-pack-generator";

const engine = new DimensionalEchoEngine();
const generator = new ScenarioPackGenerator();

async function loadScenario(id) {
  const saved = await loadFromStorage(id);
  state.dimension = saved.dimension;
  state.operators = saved.operators;
  await runScenario();
}

async function runScenario() {
  state.status = "running";
 
  const result = await generator.generate(
    state.dimension,
    state.operators
  );
 
  state.generatedScenario = result;
  state.transitions = result.transitions;
  state.coherence = result.finalCoherence;
  state.diagram = result.diagram;
 
  state.status = "results";
}

onRun = () => runScenario();
onDimensionChange = (d) => state.dimension = d;
onOperatorAdd = (op) => state.operators.push(op);
onOperatorRemove = (i) => state.operators.splice(i, 1);