@sschepis/resolang/assembly/quantum/prime-memory.ts

ResoLang - Core quantum resonance computation library

// prime-memory.ts
// Implements a conceptual "Prime Memory" system based on Quantum Prime States.

import { Prime, Amplitude } from "../types";
import { PrimeState } from "./prime-state";

/**
 * A conceptual Prime Memory system that stores and retrieves information
 * as patterns within quantum prime states. This is based on the idea
 * that information can be "encoded" into the specific amplitude and
 * phase relationships of prime numbers within a quantum state.
 *
 * This is a highly simplified and theoretical model intended to
 * demonstrate the principles, not a functional digital memory system.
 */
export class PrimeMemory {
  // A mapping from a string key (representing a "memory address" or "concept")
  // to a PrimeState holding the encoded information.
  private memoryBank: Map<string, PrimeState>;

  constructor() {
    this.memoryBank = new Map<string, PrimeState>();
  }

  /**
   * Stores a given PrimeState associated with a string key.
   * Conceptually, this "writes" a quantum information pattern to memory.
   * @param key The string key to store the memory under.
   * @param state The PrimeState to store.
   */
  store(key: string, state: PrimeState): void {
    // Store a clone to prevent external modification
    this.memoryBank.set(key, state.clone());
  }

  /**
   * Retrieves a PrimeState from memory based on a key and a conceptual
   * "coherence threshold." The retrieval process here is highly simplified.
   * In a real PRN, this would involve a complex "measurement" or "resonance"
   * process.
   *
   * @param key The string key to retrieve the memory.
   * @param n A conceptual "focus number" or "context" which might influence retrieval.
   * @param coherenceThreshold A conceptual threshold for retrieval fidelity.
   * @returns The retrieved PrimeState, or null if not found or coherence is too low.
   */
  retrieve(key: string, n: u32, coherenceThreshold: f64 = 0.5): PrimeState | null {
    if (this.memoryBank.has(key)) {
      const storedState = this.memoryBank.get(key);
      
      // Simulate retrieval fidelity based on coherence and context 'n'
      // This is a placeholder for a complex PRN retrieval algorithm.
      const currentCoherence = storedState.calculateCoherence();
      
      if (currentCoherence >= coherenceThreshold) {
        // Apply some conceptual influence from 'n' (e.g., subtle phase shift)
        // For now, return a clone, possibly with a slight modification.
        const retrievedState = storedState.clone();
        // retrievedState.globalPhase += Math.log(f64(n)); // Example: influence by n
        return retrievedState;
      }
    }
    return null;
  }

  /**
   * Lists all currently stored memory keys.
   * @returns An array of string keys.
   */
  listKeys(): Array<string> {
    return this.memoryBank.keys();
  }

  /**
   * Clears all stored memories.
   */
  clear(): void {
    this.memoryBank.clear();
  }
}

// Function that might be part of this file or related memory systems
/**
 * Calculates the "prime spectrum" of a given PrimeState.
 * This represents the distribution of amplitudes across primes.
 */
export function primeSpectrum(state: PrimeState): Map<Prime, f64> {
  const spectrum = new Map<Prime, f64>();
  const keys = state.amplitudes.keys();
  for (let i = 0; i < keys.length; i++) {
    const prime = keys[i];
    spectrum.set(prime, state.amplitudes.get(prime));
  }
  return spectrum;
}

/**
 * Conceptually performs a "symbolic collapse" on a given quantum state.
 * This function attempts to collapse a multi-prime state into a single
 * prime or a small set of resonant primes, based on a "symbolic resonance"
 * with a target number n.
 *
 * This is a highly theoretical operation in the Prime Resonance Formalism,
 * implying a directed measurement or a resonant interaction that forces
 * the quantum state towards a specific prime-based configuration.
 *
 * @param state The input PrimeState to collapse.
 * @param n The target number for symbolic resonance.
 * @param resonanceFactor A factor influencing the strength of the collapse.
 * @returns A new PrimeState representing the collapsed state.
 */
export function symbolicCollapse(
  state: PrimeState,
  n: u32,
  resonanceFactor: f64 = 1.0
): PrimeState {
  if (state.primes.length === 0) return state.clone();

  const primaryPrime = state.measure(); // Get the most probable prime

  // In a more advanced model, this would involve prime factors of n,
  // and selective amplification of resonant paths.
  const newAmplitudes = new Map<Prime, Amplitude>();
  newAmplitudes.set(primaryPrime, 1.0); // Collapse to primary prime

  // Add a small influence from n's prime factors (simplified)
  let tempNum = n;
  let p: u32 = 2;
  while (p * p <= tempNum) {
    if (tempNum % p == 0) {
      // If p is a factor of n, enhance its amplitude slightly
      const currentAmp = newAmplitudes.has(p) ? newAmplitudes.get(p) : 0.0;
      newAmplitudes.set(p, currentAmp + 0.1 * resonanceFactor);
    }
    while (tempNum % p == 0) {
      tempNum /= p;
    }
    p++;
  }
  if (tempNum > 1) {
    const currentAmp = newAmplitudes.has(tempNum) ? newAmplitudes.get(tempNum) : 0.0;
    newAmplitudes.set(tempNum, currentAmp + 0.1 * resonanceFactor);
  }

  const collapsedState = PrimeState.fromAmplitudes(newAmplitudes);
  collapsedState.normalize(); // Ensure it's a valid quantum state
  return collapsedState;
}