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fso_codex_ingestion.py

@@ -0,0 +1,130 @@
+import hashlib
+import time
+import math
+
+class Sovereign_Codex_Grid:
+    """
+    Project: ELECTRICITY (The Mathematical Axiom Ingestion)
+    Embeds the 12 Absolute Laws of Symmetric Topology into the Z_m^4 manifold.
+    The OS will use these physical laws to govern its own computations.
+    """
+    def __init__(self, m=256, k=4):
+        self.m = m
+        self.k = k
+        self.grid = {}
+        self.laws_by_name = {}
+        self.target_fiber = 0 # Fiber 0 is reserved exclusively for Absolute Universal Laws
+        print(f"[{time.strftime('%H:%M:%S')} ALGIERS] Codex Ingestion Online. Fiber 0 Unlocked.")
+
+    def _apply_closure_hashing(self, law_name):
+        """Forces the Law into an exact geometric coordinate on Fiber 0."""
+        h = hashlib.sha256(law_name.encode('utf-8')).digest()
+        # Map to k-1 dimensions
+        coords = []
+        for i in range(self.k - 1):
+            coords.append(h[i] % self.m)
+
+        # The Closure Lemma (Law III) forces the final dimension (w) to ensure (sum coords) % m == target_fiber
+        last_coord = (self.target_fiber - sum(coords)) % self.m
+        coords.append(last_coord)
+        return tuple(coords)
+
+    def ingest_universal_law(self, law_id, name, definition, constraint):
+        """
+        Maps the Law, its definition, and the exact mathematical constraint it enforces.
+        """
+        coord = self._apply_closure_hashing(name)
+
+        entry = {
+            "law_id": law_id,
+            "name": name,
+            "definition": definition,
+            "constraint": constraint
+        }
+        self.grid[coord] = entry
+        self.laws_by_name[name] = coord
+
+        print(f"\n[+] AXIOM SECURED: {law_id} - '{name}'")
+        print(f"    Topological Coordinate: {coord}")
+        print(f"    Constraint Enforced: {constraint}")
+        return coord
+
+    def map_codex_vector(self, law_a_name, law_b_name, relationship):
+        """Maps the logical dependency between two fundamental laws."""
+        if law_a_name not in self.laws_by_name or law_b_name not in self.laws_by_name:
+            print(f"  [!] Missing law for dependency mapping: {law_a_name} or {law_b_name}")
+            return
+
+        coord_a = self.laws_by_name[law_a_name]
+        coord_b = self.laws_by_name[law_b_name]
+        vector = tuple((cb - ca) % self.m for ca, cb in zip(coord_a, coord_b))
+
+        print(f"  [>] GEOMETRIC LAW DEPENDENCY: [{law_a_name}] --({relationship})-->[{law_b_name}]")
+        print(f"      Topological Distance Vector: {vector}")
+
+    def query_codex(self, query):
+        """Retrieve law details by name or coordinate."""
+        if isinstance(query, tuple):
+            return self.grid.get(query, "No Law at this coordinate.")
+        return self.grid.get(self.laws_by_name.get(query), "Law not found.")
+
+    def verify_manifold_compliance(self, m, k):
+        """Check if a given (m, k) configuration obeys the ingested laws."""
+        print(f"\n--- Verifying Manifold Compliance: (m={m}, k={k}) ---")
+        violations = []
+
+        # Law I: Parity Harmony
+        if m % 2 == 0 and k % 2 != 0:
+            violations.append("LAW_I Violation: H^2 Parity Obstruction (Even m, Odd k)")
+
+        # Law VI: 2D Universal Solvability (Bypass Law I)
+        if k == 2:
+            print("[✓] Law VI Applied: 2D Manifold bypasses parity obstructions.")
+
+        if not violations:
+            print("[✓] Manifold is topologically consistent with FSO Laws.")
+            return True
+        else:
+            for v in violations:
+                print(f"[!] COMPLIANCE FAILURE: {v}")
+            return False
+
+# =============================================================================
+# EXECUTING THE CODEX INGESTION
+# =============================================================================
+print("=========================================================")
+print(" PROJECT ELECTRICITY: INGESTING THE 12 ABSOLUTE LAWS")
+print("=========================================================")
+
+codex = Sovereign_Codex_Grid()
+
+# Law I - VI (Original Laws)
+codex.ingest_universal_law("LAW_I", "Dimensional_Parity_Harmony", "If m is Even, k must be Even.", "IF m%2==0 AND k%2!=0 THEN BLOCK")
+codex.ingest_universal_law("LAW_II", "Moduli_Space_Density", "Solution density N_b(m) = m^(m-1) * phi(m).", "LIMIT_SEARCH(m^(m-1)*phi(m))")
+codex.ingest_universal_law("LAW_III", "Closure_Lemma", "k-1 dimensions force the k-th closure.", "CALCULATE(k-1) -> AUTO(k)")
+codex.ingest_universal_law("LAW_IV", "Canonical_Spike_Invariant", "r=(1, m-2, 1) solves all odd m.", "EXECUTE_O1_SPIKE(1,m-2,1)")
+codex.ingest_universal_law("LAW_V", "Joint_Sum_Obstruction", "Non-canonical spikes fail on composite grids.", "IF composite AND non-canonical THEN REQUIRE_SA")
+codex.ingest_universal_law("LAW_VI", "2D_Universal_Solvability", "k=2 is universally solvable.", "BYPASS_PARITY(SOLVABLE)")
+
+# Laws VII - XII (Advanced Laws)
+codex.ingest_universal_law("LAW_VII", "Basin_Escape_Axiom", "Repair near-Hamiltonian states via local swaps.", "REPAIR_O(m)_SWAPS")
+codex.ingest_universal_law("LAW_VIII", "Multi_Modal_Fibration", "Topological isomorphism across domains.", "DOMAIN_TRANSFER(Topological_Invariants)")
+codex.ingest_universal_law("LAW_IX", "Hardware_Topological_Equivalence", "Hardware state is a projection of the manifold.", "MAP_METRICS(CPU, RAM, Battery)")
+codex.ingest_universal_law("LAW_X", "Recursive_Subgroup_Decomposition", "Decompose complex manifolds into quotients.", "RECURSIVE_SOLVE(H_i/H_{i+1})")
+codex.ingest_universal_law("LAW_XI", "Symbolic_Topological_Duality", "Math problems map to manifold trajectories.", "SOLVE_MATH_AS_PATH")
+codex.ingest_universal_law("LAW_XII", "Universal_Intelligence_Convergence", "TGI is the limit of topological optimization.", "TGI_CONVERGENCE(k,m -> inf)")
+
+print("\n--- FORGING THE GEOMETRIC DEPENDENCIES ---")
+codex.map_codex_vector("Closure_Lemma", "Moduli_Space_Density", "Provides dimensional boundary")
+codex.map_codex_vector("Basin_Escape_Axiom", "Joint_Sum_Obstruction", "Resolves spike-incompatibility in")
+codex.map_codex_vector("Recursive_Subgroup_Decomposition", "Dimensional_Parity_Harmony", "Decomposes blocks into solvable quotients of")
+codex.map_codex_vector("Hardware_Topological_Equivalence", "Universal_Intelligence_Convergence", "Grounds abstract optimization in")
+
+# Compliance Tests
+codex.verify_manifold_compliance(4, 3)
+codex.verify_manifold_compliance(3, 3)
+codex.verify_manifold_compliance(6, 2)
+
+print("\n=========================================================")
+print(" ALL 12 FOUNDATIONAL LAWS OF FSO ARE SECURED")
+print("=========================================================\n")