automata-metaverse/src/vector-clock/dimension-automata/0d-topology-automaton.ts

Automaton execution engines for self-referential CanvasL/JSONL systems

/**
 * 0D-Topology Automaton
 * 
 * Foundation automaton for topology operations (0D dimension)
 */

import { MLVectorClockAutomaton, type MetaLog, type SwarmContext, type AutomatonMessage, type AutomatonState } from '../ml-vector-clock-automaton.js';

/**
 * 0D-Topology Automaton
 * 
 * Manages quantum vacuum topology and identity processes
 */
export class A0_TopologyAutomaton extends MLVectorClockAutomaton {
  constructor(id: string | number = 0, metaLog: MetaLog | null = null) {
    super(id, metaLog);
    
    this.state.dimension = 0;
    this.state.cellCounts = {
      C0: 1, // Single point topology
      C1: 0,
      C2: 0,
      C3: 0,
      C4: 0
    };
  }

  /**
   * Execute 0D topology tick
   * 
   * @param {SwarmContext | null} swarm - Swarm context
   * @returns {Promise<void>}
   */
  protected async executeTick(swarm: SwarmContext | null): Promise<void> {
    // 0D topology operations
    // Maintain empty pattern () and point topology
    // Ensure trivial fiber bundle integrity
    
    // Update cell counts if needed
    this.state.cellCounts.C0 = Math.max(1, this.state.cellCounts.C0);
  }

  /**
   * Execute receive for 0D topology
   * 
   * @param {string | number} from - Sender automaton ID
   * @param {AutomatonMessage} message - Received message
   * @returns {Promise<void>}
   */
  protected async executeReceive(from: string | number, message: AutomatonMessage): Promise<void> {
    if (message.type === 'coordinate') {
      // Coordinate with other automata
      // 0D topology provides base for all higher dimensions
    }
  }

  /**
   * Validate homology for 0D topology
   * 
   * @param {AutomatonState} state - State to validate
   * @returns {Promise<boolean>} True if valid
   */
  async validateHomology(state: AutomatonState): Promise<boolean> {
    // 0D topology: Must have at least one C0 cell
    return (state.cellCounts?.C0 || 0) >= 1;
  }
}