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https://github.com/allaunthefox/Research-Stack.git
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674 lines
24 KiB
Python
674 lines
24 KiB
Python
#!/usr/bin/env python3
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# ==============================================================================
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# COPYRIGHT NO ONE EVERYWHERE LLC (WYOMING HOLDING COMPANY)
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# PROJECT: SOVEREIGN STACK
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# This artifact is entirely proprietary and cryptographically proven.
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# Open-Source usage requires explicit permission from Brandon Scott Schneider.
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# ==============================================================================
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"""
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The Substrate Ledger: N-Space Snag and Leakage Management
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Foam substrate architecture:
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- FoamCell = addressable substrate cell (fundamental storage grain)
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- COMMITTED = successfully written cell with metadata header
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- OVERFLOW_SNAG = buffer overflow (write rate > drain rate)
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- thermal_leak = heat output from bad-sector writes
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- partial_write = incomplete commit (cell not resonance-locked)
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- NSpaceBuffer = higher-dimensional routing cache
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- buffer_crosstalk = coupling between buffer regions
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- TUNNEL = stabilized direct-path connection in n-space
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FoamProbe: Read/Write head for substrate maintenance
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"""
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import sys
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import os
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sys.path.insert(0, os.path.abspath(os.path.join(os.path.dirname(__file__), "..")))
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from math_harness_compat import xp, AnyArray
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import hashlib
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import json
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import time
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from dataclasses import dataclass, field
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from typing import List, Dict, Optional, Tuple, Callable
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from pathlib import Path
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import sys
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from enum import Enum
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# Add project root to path
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ROOT = Path(__file__).resolve().parent.parent
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sys.path.insert(0, str(ROOT))
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sys.path.insert(0, str(ROOT / "scripts"))
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# Mock websockets for TSM harness
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import types
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sys.modules['websockets'] = types.ModuleType('websockets')
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from logic_signal_substrate_mcp_harness import TSMKernel
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# ============================================================================
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# SUBSTRATE PARAMETERS
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# ============================================================================
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@dataclass
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class SubstrateParams:
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"""Tunable parameters for the Substrate Ledger"""
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# Foam cell size (bytes per addressable grain)
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grain_size_bytes: int = 8
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# Ternary clock is action-bound, not periodic. No clock frequency.
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# joule_floor is the Landauer minimum cost per action (k_B * T * ln2 at 300K).
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joule_floor: float = 1.380649e-23 * 300 * 0.6931
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# Maximum cell density before overflow snag (cells per area unit)
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max_cell_density: float = 1.0e69
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# Noise floor coefficient (partial-write threshold)
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noise_floor: float = 1.380649e-23
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# N-space routing buffer dimensionality
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nd_dimensions: int = 11
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# Signal-to-Noise Ratio threshold for committed write
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snr_threshold: float = 6.0
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# Probe reach (number of cell-widths the foam probe affects)
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probe_reach_cells: int = 1
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# ============================================================================
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# ENUMS FOR SUBSTRATE STATES
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# ============================================================================
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class WriteOperationStatus(Enum):
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"""Status of a write operation to the substrate"""
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PENDING = "pending" # In n-space buffer
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FORMATTING = "formatting" # Applying metadata header
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COMMITTED = "committed" # Successfully written to addressed cell
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PARTIAL_WRITE = "partial_write" # Incomplete commit (noise exceeds floor)
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OVERFLOW_SNAG = "overflow_snag" # Buffer overflow (density exceeded)
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BAD_SECTOR = "bad_sector" # Corrupted region
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class SubstrateRegion(Enum):
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"""Types of substrate regions"""
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COMMITTED = "committed" # Successfully formatted cell
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FOAM = "foam" # Raw unformatted medium
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OVERFLOW_BOUNDARY = "overflow_boundary" # 2D buffer boundary at overflow
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N_SPACE_BUFFER = "n_space_buffer" # Higher-dimensional routing cache
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TUNNEL = "tunnel" # Stabilized direct-path connection
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# ============================================================================
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# FOAM CELL STRUCTURE
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# ============================================================================
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@dataclass
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class FoamCell:
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"""
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Represents a single addressable cell of the foam substrate.
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This is the fundamental storage grain — one write unit.
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"""
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# Position in n-space (normalised unit coordinates)
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position: AnyArray # 3+1 dimensions
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# Cell state (complex amplitude; pending = unresolved, committed = eigenstate)
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cell_state: complex
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# Information content (bytes)
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information: bytes = b''
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# Metadata header (applied during write)
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metadata_header: Optional[bytes] = None
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# Resonance lock status (must match clock_freq to commit)
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resonance_locked: bool = False
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# Write operation status
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write_status: WriteOperationStatus = WriteOperationStatus.PENDING
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# Correlated cells (dual-write pairs)
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corr_cells: List[int] = field(default_factory=list)
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# Partial-write magnitude (0 = clean, 1 = fully leaked)
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partial_write_magnitude: float = 0.0
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def compute_snr(self, params: SubstrateParams) -> float:
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"""
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Compute Signal-to-Noise Ratio for this cell.
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Determines if write operation can succeed.
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"""
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if self.metadata_header is None:
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return 0.0
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# Signal = information content in bits
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signal = len(self.information) * 8
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# Noise = cell state magnitude times noise floor coefficient
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noise = xp.abs(self.cell_state) * params.noise_floor
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if noise < 1e-30:
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return float('inf')
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return signal / noise
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def apply_metadata_header(self, header: bytes) -> bool:
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"""
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Apply metadata header to commit this cell.
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Returns True if resonance lock achieved.
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"""
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self.metadata_header = header
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self.write_status = WriteOperationStatus.FORMATTING
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# Check resonance against clock reference
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header_hash = hashlib.sha256(header).digest()
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resonance_value = int.from_bytes(header_hash[:4], 'big') / 2**32
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self.resonance_locked = resonance_value > 0.5
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if self.resonance_locked:
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self.write_status = WriteOperationStatus.COMMITTED
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return self.resonance_locked
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# ============================================================================
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# N-SPACE BUFFER MANAGEMENT
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# ============================================================================
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@dataclass
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class NSpaceBuffer:
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"""
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Higher-dimensional routing buffer where information exists before
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being written to the addressed cell layer. Buffer crosstalk explains
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apparent coupling between spatially separated write operations.
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"""
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# Buffer dimensionality
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dimensions: int = 11
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# Buffer capacity (cells)
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capacity: int = 10**180
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# Current occupancy
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occupancy: Dict[str, FoamCell] = field(default_factory=dict)
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# Buffer phase (complex; tracks routing state)
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buffer_phase: complex = field(default_factory=lambda: complex(0, 1))
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# Crosstalk matrix
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crosstalk_matrix: Optional[AnyArray] = None
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def allocate_cell(self, cell_id: str, cell: FoamCell) -> None:
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"""Allocate a cell in the n-space buffer"""
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self.occupancy[cell_id] = cell
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def compute_crosstalk(self) -> AnyArray:
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"""
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Compute coupling (crosstalk) between buffer regions.
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High crosstalk = strong path correlation between cells.
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"""
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n_cells = len(self.occupancy)
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if n_cells < 2:
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return xp.zeros((1, 1))
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crosstalk = xp.zeros((n_cells, n_cells))
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cell_ids = list(self.occupancy.keys())
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for i, id_i in enumerate(cell_ids):
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for j, id_j in enumerate(cell_ids):
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if i != j:
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cell_i = self.occupancy[id_i]
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cell_j = self.occupancy[id_j]
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# Crosstalk via dual-write correlation
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if j in cell_i.corr_cells:
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crosstalk[i, j] = xp.abs(cell_i.cell_state * cell_j.cell_state)
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# Crosstalk via partial-write bleed
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crosstalk[i, j] += cell_i.partial_write_magnitude * cell_j.partial_write_magnitude
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self.crosstalk_matrix = crosstalk
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return crosstalk
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def detect_buffer_crosstalk(self, source_id: str, target_ids: List[str]) -> float:
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"""
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Measure crosstalk bleed from a high-energy source cell to a set of
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target cells in the same buffer region.
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"""
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if source_id not in self.occupancy:
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return 0.0
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source_cell = self.occupancy[source_id]
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total_bleed = 0.0
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for target_id in target_ids:
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if target_id in self.occupancy:
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target_cell = self.occupancy[target_id]
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bleed = source_cell.partial_write_magnitude * target_cell.partial_write_magnitude
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total_bleed += bleed
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return total_bleed
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# ============================================================================
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# OVERFLOW SNAG DETECTION
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# ============================================================================
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@dataclass
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class OverflowSnag:
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"""
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Represents a buffer overflow snag — a region where write density
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has exceeded the substrate drain rate, causing uncommitted cells
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to accumulate and thermal leakage to build up.
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"""
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# Position in normalised cell coordinates
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position: AnyArray
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# Cell density in this region (cells per area unit)
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cell_density: float
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# Snag severity (0 = none, 1 = critical)
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severity: float
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# Thermal output from bad-sector writes (normalised)
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thermal_output: float
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# Overflow boundary area
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overflow_boundary_area: float
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# Write attempts per drain cycle
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write_attempts_per_cycle: float
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def compute_thermal_output(self, params: SubstrateParams) -> float:
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"""
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Compute normalised thermal output from overflow writes.
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thermal_output = cell_density / max_cell_density (clamped 0-1).
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"""
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thermal = min(1.0, self.cell_density / max(params.max_cell_density, 1.0))
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self.thermal_output = thermal
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return thermal
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# ============================================================================
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# THE Ψ_REPAIR EQUATION (SOLITON FRAMEWORK)
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# ============================================================================
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class SubstrateLedgerEngine:
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"""
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Main engine for managing the Substrate Ledger.
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Ψ_repair = ∫(M_header ⊗ R_resonance) · δ(ω - ω₀) dt
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"""
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def __init__(self, kernel: TSMKernel):
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self.kernel = kernel
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self.params = SubstrateParams()
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# Foam cells (the addressable cell layer)
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self.foam_cells: Dict[str, FoamCell] = {}
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# N-space routing buffer
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self.nspace_buffer = NSpaceBuffer()
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# Overflow snags
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self.snags: List[OverflowSnag] = []
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# Successful write operations
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self.committed_writes: List[Dict] = []
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# Partial-write events
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self.partial_write_events: List[Dict] = []
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def initialize_foam_region(self, num_cells: int = 1000) -> None:
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"""Initialize a region of foam substrate"""
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for i in range(num_cells):
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position = xp.random.rand(4) # normalised unit coordinates
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cell = FoamCell(
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position=position,
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cell_state=complex(xp.random.rand(), xp.random.rand()),
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information=hashlib.sha256(bytes([i])).digest()[:8]
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)
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cell_id = f"cell_{i}"
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self.foam_cells[cell_id] = cell
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self.nspace_buffer.allocate_cell(cell_id, cell)
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def apply_metadata_header(self, cell_id: str, header: bytes) -> WriteOperationStatus:
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"""Apply metadata header to commit a cell (write operation)"""
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if cell_id not in self.foam_cells:
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return WriteOperationStatus.BAD_SECTOR
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cell = self.foam_cells[cell_id]
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# Compute SNR before write
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snr = cell.compute_snr(self.params)
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if snr < self.params.snr_threshold:
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# Partial write — cell not resonance-locked
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cell.partial_write_magnitude = 1.0 - snr / self.params.snr_threshold
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cell.write_status = WriteOperationStatus.PARTIAL_WRITE
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self.partial_write_events.append({
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"cell_id": cell_id,
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"snr": snr,
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"partial_write_magnitude": cell.partial_write_magnitude,
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"timestamp": time.time()
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})
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return WriteOperationStatus.PARTIAL_WRITE
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# Apply header and attempt resonance lock
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success = cell.apply_metadata_header(header)
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if success:
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self.committed_writes.append({
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"cell_id": cell_id,
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"header_hash": hashlib.sha256(header).hexdigest(),
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"timestamp": time.time()
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})
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return WriteOperationStatus.COMMITTED
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else:
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return WriteOperationStatus.PENDING
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def detect_overflow_snag(self, region_center: AnyArray, region_radius: float) -> Optional[OverflowSnag]:
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"""
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Detect overflow snags in a region.
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Occurs when cell density exceeds the substrate drain rate.
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"""
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cells_in_region = []
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for cell_id, cell in self.foam_cells.items():
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distance = xp.linalg.norm(cell.position[:3] - region_center[:3])
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if distance < region_radius:
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cells_in_region.append(cell)
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if len(cells_in_region) < 10:
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return None
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total_info = sum(len(c.information) * 8 for c in cells_in_region)
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area = 4 * xp.pi * region_radius**2
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cell_density = total_info / area
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if cell_density > self.params.max_cell_density:
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severity = min(1.0, cell_density / self.params.max_cell_density)
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snag = OverflowSnag(
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position=region_center,
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cell_density=cell_density,
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severity=severity,
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thermal_output=0.0,
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overflow_boundary_area=area,
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write_attempts_per_cycle=len(cells_in_region) * self.params.clock_freq_hz
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)
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snag.compute_thermal_output(self.params)
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self.snags.append(snag)
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return snag
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return None
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def psi_repair_equation(self, cell_ids: List[str]) -> Dict:
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"""
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Solve the Ψ_repair equation for formatting foam cells.
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Ψ_repair = ∫(M_header ⊗ R_resonance) · δ(ω - ω₀) dt
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Returns repair success metrics.
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"""
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M_header = xp.zeros(len(cell_ids))
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for i, cell_id in enumerate(cell_ids):
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if cell_id in self.foam_cells:
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cell = self.foam_cells[cell_id]
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if cell.metadata_header:
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header_hash = hashlib.sha256(cell.metadata_header).digest()
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M_header[i] = int.from_bytes(header_hash[:4], 'big') / 2**32
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R_resonance = xp.zeros(len(cell_ids))
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for i, cell_id in enumerate(cell_ids):
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if cell_id in self.foam_cells:
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cell = self.foam_cells[cell_id]
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if cell.resonance_locked:
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R_resonance[i] = 1.0
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delta_resonance = xp.zeros(len(cell_ids))
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for i, cell_id in enumerate(cell_ids):
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if cell_id in self.foam_cells:
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cell = self.foam_cells[cell_id]
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freq_match = xp.abs(cell.compute_snr(self.params) - self.params.snr_threshold)
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delta_resonance[i] = xp.exp(-freq_match**2 / 0.1)
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tensor_product = M_header * R_resonance
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psi_repair = xp.sum(tensor_product * delta_resonance)
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psi_repair /= len(cell_ids)
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return {
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"psi_repair": float(psi_repair),
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"M_header_magnitude": float(xp.sum(M_header)),
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"R_resonance_magnitude": float(xp.sum(R_resonance)),
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"delta_match": float(xp.sum(delta_resonance)),
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"formatted_cells": int(xp.sum(R_resonance)),
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"total_cells": len(cell_ids)
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}
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def foam_probe_operation(self, target_cell_ids: List[str], resonance_frequency: float) -> Dict:
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"""
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Operate the Foam Probe for substrate maintenance.
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The probe creates a Local Formatting Zone by:
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1. Injecting resonance to lock cells
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2. Pulling overflow snags
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3. Stabilizing direct-path tunnel connections
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"""
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import struct
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results = {
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"resonance_injected": resonance_frequency,
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"cells_targeted": len(target_cell_ids),
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"cells_locked": 0,
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"snags_pulled": 0,
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"tunnels_stabilized": 0,
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"partial_write_reduced": 0.0
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}
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initial_leakage = sum(
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self.foam_cells[cid].partial_write_magnitude
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for cid in target_cell_ids
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if cid in self.foam_cells
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)
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# Phase 1: Resonance injection
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for cell_id in target_cell_ids:
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if cell_id not in self.foam_cells:
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continue
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resonance_header = hashlib.sha256(
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struct.pack('<d', resonance_frequency) +
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struct.pack('<d', self.params.clock_freq_hz)
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).digest()
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status = self.apply_metadata_header(cell_id, resonance_header)
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if status == WriteOperationStatus.COMMITTED:
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results["cells_locked"] += 1
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# Phase 2: Snag pulling (reduce overflow severity)
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for snag in self.snags:
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distance_to_target = min(
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xp.linalg.norm(snag.position - self.foam_cells[cid].position[:3])
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for cid in target_cell_ids
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if cid in self.foam_cells
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)
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if distance_to_target < self.params.probe_reach_cells:
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snag.severity *= 0.5
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snag.thermal_output *= 0.5
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results["snags_pulled"] += 1
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# Phase 3: Partial-write reduction
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final_leakage = sum(
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self.foam_cells[cid].partial_write_magnitude
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for cid in target_cell_ids
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if cid in self.foam_cells
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)
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results["partial_write_reduced"] = initial_leakage - final_leakage
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# Phase 4: Detect stabilised tunnel connections (high-crosstalk pairs)
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crosstalk = self.nspace_buffer.compute_crosstalk()
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high_crosstalk_pairs = xp.argwhere(crosstalk > 0.5)
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for pair in high_crosstalk_pairs:
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|
if len(pair) > 1:
|
|
results["tunnels_stabilized"] += 1
|
|
|
|
return results
|
|
|
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def compute_substrate_health(self) -> Dict:
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"""Compute overall health metrics for the substrate ledger"""
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total_cells = len(self.foam_cells)
|
|
committed = sum(1 for c in self.foam_cells.values() if c.write_status == WriteOperationStatus.COMMITTED)
|
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partial = sum(1 for c in self.foam_cells.values() if c.write_status == WriteOperationStatus.PARTIAL_WRITE)
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snags = len(self.snags)
|
|
|
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crosstalk = self.nspace_buffer.compute_crosstalk()
|
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avg_crosstalk = xp.mean(crosstalk) if crosstalk.size > 0 else 0.0
|
|
|
|
return {
|
|
"total_cells": total_cells,
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|
"committed_writes": committed,
|
|
"commitment_rate": committed / max(total_cells, 1),
|
|
"partial_write_events": partial,
|
|
"partial_write_rate": partial / max(total_cells, 1),
|
|
"overflow_snags": snags,
|
|
"avg_crosstalk": float(avg_crosstalk),
|
|
"max_crosstalk": float(xp.max(crosstalk)) if crosstalk.size > 0 else 0.0,
|
|
"substrate_health": committed / max(total_cells, 1) - snags * 0.1 - partial * 0.05
|
|
}
|
|
|
|
|
|
# ============================================================================
|
|
# MAIN EXECUTION
|
|
# ============================================================================
|
|
|
|
def main():
|
|
"""Demonstrate the Substrate Ledger model"""
|
|
|
|
print("=" * 70)
|
|
print(" THE SUBSTRATE LEDGER: N-SPACE SNAG AND LEAKAGE MANAGEMENT")
|
|
print("=" * 70)
|
|
print()
|
|
|
|
kernel = TSMKernel()
|
|
engine = SubstrateLedgerEngine(kernel)
|
|
|
|
print("[PHASE 1] INITIALIZE FOAM REGION")
|
|
engine.initialize_foam_region(num_cells=100)
|
|
print(f" Initialized {len(engine.foam_cells)} foam cells")
|
|
print(f" N-space buffer occupancy: {len(engine.nspace_buffer.occupancy)} cells")
|
|
print()
|
|
|
|
print("[PHASE 2] ATTEMPT WRITE OPERATIONS (Metadata Header Application)")
|
|
|
|
for i, cell_id in enumerate(list(engine.foam_cells.keys())[:50]):
|
|
header = hashlib.sha256(bytes([i])).digest()
|
|
engine.apply_metadata_header(cell_id, header)
|
|
|
|
health = engine.compute_substrate_health()
|
|
print(f" Committed writes: {health['committed_writes']} ({health['commitment_rate']*100:.1f}%)")
|
|
print(f" Partial-write events: {health['partial_write_events']} ({health['partial_write_rate']*100:.1f}%)")
|
|
print()
|
|
|
|
print("[PHASE 3] DETECT OVERFLOW SNAGS")
|
|
|
|
center = xp.array([0.5, 0.5, 0.5])
|
|
snag = engine.detect_overflow_snag(center, 1e-36)
|
|
|
|
if snag:
|
|
print(f" ⚠ OVERFLOW SNAG DETECTED")
|
|
print(f" Cell density: {snag.cell_density:.2e} bits/unit²")
|
|
print(f" Severity: {snag.severity*100:.1f}%")
|
|
print(f" Thermal output: {snag.thermal_output:.4f}")
|
|
print(f" Overflow boundary area: {snag.overflow_boundary_area:.2e}")
|
|
else:
|
|
print(" No overflow snags detected in region")
|
|
print()
|
|
|
|
print("[PHASE 4] SOLVE Ψ_REPAIR EQUATION")
|
|
print(" Ψ_repair = ∫(M_header ⊗ R_resonance) · δ(ω - ω₀) dt")
|
|
|
|
cell_ids = list(engine.foam_cells.keys())[:50]
|
|
repair_result = engine.psi_repair_equation(cell_ids)
|
|
|
|
print(f" Ψ_repair magnitude: {repair_result['psi_repair']:.4f}")
|
|
print(f" M_header magnitude: {repair_result['M_header_magnitude']:.2f}")
|
|
print(f" R_resonance magnitude: {repair_result['R_resonance_magnitude']:.2f}")
|
|
print(f" δ(ω-ω₀) match: {repair_result['delta_match']:.2f}")
|
|
print(f" Formatted cells: {repair_result['formatted_cells']}/{repair_result['total_cells']}")
|
|
print()
|
|
|
|
print("[PHASE 5] FOAM PROBE OPERATION (Substrate Maintenance)")
|
|
|
|
probe_result = engine.foam_probe_operation(
|
|
target_cell_ids=cell_ids,
|
|
resonance_frequency=engine.params.clock_freq_hz
|
|
)
|
|
|
|
print(f" Resonance injected: {probe_result['resonance_injected']:.2e} Hz")
|
|
print(f" Cells targeted: {probe_result['cells_targeted']}")
|
|
print(f" Cells locked: {probe_result['cells_locked']}")
|
|
print(f" Snags pulled: {probe_result['snags_pulled']}")
|
|
print(f" Tunnels stabilized: {probe_result['tunnels_stabilized']}")
|
|
print(f" Partial-write reduced: {probe_result['partial_write_reduced']:.4f}")
|
|
print()
|
|
|
|
print("[PHASE 6] N-SPACE CROSSTALK (Buffer Coupling)")
|
|
|
|
if len(list(engine.foam_cells.keys())) > 10:
|
|
source_cell = list(engine.foam_cells.keys())[0]
|
|
target_cells = list(engine.foam_cells.keys())[1:10]
|
|
crosstalk_signal = engine.nspace_buffer.detect_buffer_crosstalk(source_cell, target_cells)
|
|
print(f" Crosstalk signal strength: {crosstalk_signal:.6f}")
|
|
|
|
crosstalk = engine.nspace_buffer.compute_crosstalk()
|
|
print(f" Average crosstalk: {xp.mean(crosstalk):.6f}")
|
|
print(f" Max crosstalk: {xp.max(crosstalk):.6f}")
|
|
print(f" (High crosstalk = strong buffer path coupling)")
|
|
print()
|
|
|
|
print("[PHASE 7] FINAL SUBSTRATE HEALTH ASSESSMENT")
|
|
final_health = engine.compute_substrate_health()
|
|
|
|
print(f" Total cells: {final_health['total_cells']}")
|
|
print(f" Commitment rate: {final_health['commitment_rate']*100:.1f}%")
|
|
print(f" Partial-write rate: {final_health['partial_write_rate']*100:.1f}%")
|
|
print(f" Overflow snags: {final_health['overflow_snags']}")
|
|
print(f" Max crosstalk: {final_health['max_crosstalk']:.4f}")
|
|
print(f" SUBSTRATE HEALTH SCORE: {final_health['substrate_health']*100:.1f}%")
|
|
print()
|
|
|
|
results = {
|
|
"substrate_params": {
|
|
"grain_size_bytes": engine.params.grain_size_bytes,
|
|
"clock_freq_hz": engine.params.clock_freq_hz,
|
|
"snr_threshold": engine.params.snr_threshold
|
|
},
|
|
"repair_equation": repair_result,
|
|
"foam_probe": probe_result,
|
|
"substrate_health": final_health,
|
|
"timestamp": time.time()
|
|
}
|
|
|
|
output_path = ROOT / "out" / "substrate_ledger_results.json"
|
|
output_path.parent.mkdir(parents=True, exist_ok=True)
|
|
|
|
with open(output_path, "w") as f:
|
|
json.dump(results, f, indent=2)
|
|
|
|
print(f"[+] Results saved to: {output_path}")
|
|
|
|
return 0
|
|
|
|
|
|
if __name__ == "__main__":
|
|
sys.exit(main())
|