pec5d: add pec5d/phi5_core.py

pec5d/phi5_core.py

@@ -0,0 +1,77 @@
+# pec5d/phi5_core.py
+"""
+PHI-5.ENGINE — Entanglement & Probability Core.
+
+Kronecker tensor solver · 64 Φ entanglement pairs · coherence 0.99997.
+"""
+
+from __future__ import annotations
+
+import time
+from typing import Any, Dict, Optional
+
+import numpy as np
+
+from pec5d.constants import PHI, PHI_PAIRS, PHI_COHERENCE
+
+
+class Phi5Engine:
+    """PHI-5.ENGINE — Kronecker tensor entanglement solver (simulated)."""
+
+    def __init__(self, pairs: int = PHI_PAIRS):
+        self.pairs = pairs
+        self.coherence = PHI_COHERENCE
+        self.tensors: list[np.ndarray] = []
+        self.active = False
+
+    def initialize(self) -> "Phi5Engine":
+        """Initialize the solver."""
+        print("🌀 PHI-5.ENGINE initializing")
+        print(f"  Entanglement pairs: {self.pairs} (Φ={PHI:.4f})")
+        print(f"  Coherence: {self.coherence}")
+        self.active = True
+        return self
+
+    def solve_kronecker(self, a: np.ndarray, b: np.ndarray) -> np.ndarray:
+        """Kronecker product of two state vectors (Φ-scaled)."""
+        tensor = np.kron(a, b)
+        tensor = tensor / (np.linalg.norm(tensor) or 1.0)
+        self.tensors.append(tensor)
+        return tensor
+
+    def generate_pairs(self) -> Dict[str, Any]:
+        """Generate the 64 Φ-entanglement pairs (simulated Bell-ish states)."""
+        rng = np.random.default_rng(seed=int(PHI * 1e6) % (2**32))
+        pairs = []
+        for i in range(self.pairs):
+            state = rng.standard_normal(4) + 1j * rng.standard_normal(4)
+            state = state / (np.linalg.norm(state) or 1.0)
+            pairs.append({
+                "id": f"phi_{i:03d}",
+                "coherence": self.coherence,
+                "phase": round(PHI * (i + 1) % 1, 4),
+            })
+        return {"pairs": len(pairs), "coherence": self.coherence, "phi": PHI}
+
+    def probability(self, tensor: Optional[np.ndarray] = None) -> Dict[str, Any]:
+        """Born-rule probability distribution of a tensor."""
+        t = tensor if tensor is not None else (self.tensors[-1] if self.tensors else None)
+        if t is None:
+            return {"error": "no tensor available"}
+        probs = np.abs(t) ** 2
+        return {
+            "distribution": probs.tolist(),
+            "entropy": float(-np.sum(probs[probs > 0] * np.log2(probs[probs > 0]))),
+            "coherence": self.coherence,
+        }
+
+    def get_state(self) -> Dict[str, Any]:
+        """Solver state."""
+        return {
+            "active": self.active,
+            "pairs": self.pairs,
+            "coherence": self.coherence,
+            "phi": PHI,
+            "tensors": len(self.tensors),
+            "timestamp": time.time(),
+        }