# ============================================================================== # COPYRIGHT NO ONE EVERYWHERE LLC (WYOMING HOLDING COMPANY) # PROJECT: SOVEREIGN STACK # This artifact is entirely proprietary and cryptographically proven. # Open-Source usage requires explicit permission from Brandon Scott Schneider. # ============================================================================== import hashlib import sys import os sys.path.insert(0, os.path.abspath(os.path.join(os.path.dirname(__file__), ".."))) from math_harness_compat import xp, AnyArray import os import sys # ── NE geometry scaffold (geometry-rip branch) ──────────────────────────────── # Fixes EUCLIDEAN_ASSUMPTION_AUDIT finding #11 (LOWER): L2 on random coords # produces approximately constant coupling_strength ≈ weight / sqrt(N/6) for all # pairs (all pairwise distances concentrate around sqrt(N/6)). # NE fix: phi-weighted distance differentiates axes by semantic importance. _USE_NE_GEOMETRY = False _phi_ndag = (1 + 5 ** 0.5) / 2 # ── Complex geometry scaffold (geometry-rip branch) ─────────────────────────── # Fixes COMPLEX_NUMBER_AUDIT finding #M6 (LOWER): establish_coupling uses L2 # distance on mod-1 coords without circular wraparound metric. # Coordinates are (entropy × PHI^i) % 1.0 — linear distance wraps discontinuously. _USE_COMPLEX_GEOMETRY = True import sys as _sys_sql, os as _os_sql _sql_tools = _os_sql.path.join(_os_sql.path.dirname(_os_sql.path.abspath(__file__)), "..", "tools") if _sql_tools not in _sys_sql.path: _sys_sql.path.insert(0, _sql_tools) try: import geometry_complex as _cg # noqa: F401 _CG_AVAILABLE_SQL = True except ImportError: _CG_AVAILABLE_SQL = False class NdagTransmuter: """Transmutes Relational SQL into N-Dimensional Solitons.""" def __init__(self, dimensions=11): self.dimensions = dimensions self.phi = (1 + 5**0.5) / 2 self.manifold = {} def transmute_node(self, slug, data): """Converts a SQL Row/Entity into a HyperMassNode.""" node_id = hashlib.sha256(slug.encode()).hexdigest() # Holographic Mapping: Entropy-driven coordinate generation entropy = sum(hashlib.sha256(str(data).encode()).digest()) / 256.0 coords = xp.zeros(self.dimensions) for i in range(self.dimensions): coords[i] = (entropy * (self.phi ** i)) % 1.0 self.manifold[node_id] = { "coords": coords, "frequency": 1.0 / (self.phi * entropy), "payload": data } return node_id def establish_coupling(self, node_a, node_b, weight=1.0): """Converts Foreign Keys into Phase-Locked Couplings.""" if node_a in self.manifold and node_b in self.manifold: # Vibrational Edge strength based on topological distance ca = self.manifold[node_a]["coords"] cb = self.manifold[node_b]["coords"] if _USE_COMPLEX_GEOMETRY: # COMPLEX_AUDIT #M6: circular metric — mod-1 coords wrap at [0,1) boundary # min(|a-b|, 1-|a-b|) is the correct angular distance for unit-circle coords _diffs = [min(abs(ca[i] - cb[i]), 1.0 - abs(ca[i] - cb[i])) for i in range(len(ca))] dist = sum(_phi_ndag**i * _diffs[i]**2 for i in range(len(ca))) ** 0.5 elif _USE_NE_GEOMETRY: # NE path: φ^i-weighted distance (AUDIT FINDING #11 fix) # Avoids concentration of measure: axis-i has weight φ^i dist = sum(_phi_ndag**i * (ca[i] - cb[i])**2 for i in range(len(ca))) ** 0.5 else: # EU path (default): L2 — EUCLIDEAN ASSUMPTION #11 dist = xp.linalg.norm(ca - cb) coupling_strength = weight / (dist + 0.001) return coupling_strength return 0.0 if __name__ == "__main__": transmuter = NdagTransmuter() uid = transmuter.transmute_node("user_001", {"name": "Architect", "level": "SME"}) print(f"Node Transmuted: {uid}")