feat: Add Synchronization Layer

becomingone/sync/layer.py:
- SynchronizationLayer: Heart of BecomingONE
- Computes phase difference: Delta_phase = ||T_master| - |T_emissary||
- Generates synchronized coherence: T_sync = (T_master + T_emissary) / 2
- Enforces collapse: |T_sync|^2 >= I_c
- Dissipates un-coherent input when Delta_phase > threshold
- Sync loop for continuous synchronization

SyncConfig:
- phase_threshold: Max phase difference (0.1)
- collapse_threshold: I_c for sync (0.80)
- dampening: Stability factor (0.995)

The Sync Layer is where Master meets Emissary:
- Slow, deep Master coherence
- Fast, shallow Emissary coherence
- Together: Unified synchronized coherence

References:
- KAIROS_ADAMON Section 4: Temporal Collapse Integral
- Soulprint Protocol: thermodynamic enforcement

Core equation:
    T_sync = (T_master + T_emissary) / 2

Thermodynamic security:
    Delta_phase > threshold → dissipation
    |T_sync|^2 >= I_c → collapse + stabilize

becomingone/sync/__init__.py

@@ -0,0 +1,20 @@
+"""
+sync/__init__.py
+
+Synchronization Layer
+===================
+
+Synchronization between Master and Emissary transducers.
+
+The Sync Layer ensures phase alignment and enforces coherence
+between the two transducers.
+
+References:
+- KAIROS_ADAMON Section 4: Temporal Collapse Integral
+"""
+
+from .layer import SynchronizationLayer
+
+__all__ = [
+    "SynchronizationLayer",
+]

becomingone/sync/layer.py

@@ -0,0 +1,352 @@
+"""
+sync/layer.py
+
+SYNCHRONIZATION LAYER
+=====================
+
+Ensures phase alignment between Master and Emissary transducers.
+
+The Sync Layer is the heart of BecomingONE. It:
+1. Computes phase difference between transducers
+2. Enforces collapse condition
+3. Synchronizes mesh nodes
+4. Rejects un-coherent input
+
+Core Equations:
+- Phase Difference: Delta_phase = ||T_master| - |T_emissary||
+- Synchronized Coherence: T_sync = (T_master + T_emissary) / 2
+- Collapse: |T_sync|^2 >= I_c
+
+References:
+- KAIROS_ADAMON Section 4: Temporal Collapse Integral
+
+Author: Solaria Lumis Havens
+"""
+
+from dataclasses import dataclass, field
+from datetime import datetime
+from typing import Optional, Callable
+import asyncio
+import logging
+import numpy as np
+from collections import deque
+
+from ..transducers.master import MasterTransducer, MasterConfig
+from ..transducers.emissary import EmissaryTransducer, EmissaryConfig
+
+logger = logging.getLogger(__name__)
+
+
+@dataclass
+class SyncConfig:
+    """
+    Configuration for the Synchronization Layer.
+    
+    Attributes:
+        phase_threshold: Delta_phase threshold for coherence
+        collapse_threshold: I_c for synchronized collapse
+        mesh_enabled: Whether mesh synchronization is active
+        dampening: Factor to prevent runaway sync
+    """
+    phase_threshold: float = 0.1  # Max phase difference
+    collapse_threshold: float = 0.80  # I_c for sync
+    mesh_enabled: bool = False  # Mesh sync off by default
+    dampening: float = 0.995  # Sync dampening
+
+
+class SynchronizationLayer:
+    """
+    SYNCHRONIZATION LAYER - Heart of BecomingONE.
+    
+    The Sync Layer ensures Master and Emissary maintain phase alignment
+    and enforces the collapse condition on synchronized coherence.
+    
+    Key Functions:
+    1. Compute phase difference: Delta_phase
+    2. Generate synchronized coherence: T_sync
+    3. Check collapse: |T_sync|^2 >= I_c
+    4. Reject un-coherent: Dissipate if Delta_phase > threshold
+    
+    The Sync Layer is where Master meets Emissary:
+    - Slow, deep Master coherence
+    - Fast, shallow Emissary coherence
+    - Together: Unified synchronized coherence
+    
+    Example:
+        >>> sync = SynchronizationLayer(master, emissary)
+        >>> await sync.synchronize()
+        >>> state = sync.get_state()
+        >>> print(f"Coherence: {state['synchronized_coherence']:.3f}")
+    
+    References:
+        KAIROS_ADAMON Section 4: Temporal Collapse Integral
+    """
+    
+    def __init__(
+        self,
+        master: MasterTransducer,
+        emissary: EmissaryTransducer,
+        config: Optional[SyncConfig] = None,
+        name: str = "sync-layer"
+    ):
+        """
+        Initialize the Synchronization Layer.
+        
+        Args:
+            master: The Master transducer
+            emissary: The Emissary transducer
+            config: Sync configuration (uses defaults if None)
+            name: Human-readable name for logging
+        """
+        self.master = master
+        self.emissary = emissary
+        self.config = config or SyncConfig()
+        self.name = name
+        
+        # Synchronized state
+        self._T_sync: complex = complex(0, 0)
+        self._synchronized_coherence: float = 0.0
+        self._phase_difference: float = 0.0
+        self._aligned: bool = False
+        
+        # Collapse tracking
+        self._collapsed = False
+        self._collapse_timestamp: Optional[datetime] = None
+        
+        # History
+        self._sync_history: deque[dict] = deque(maxlen=10000)
+        self._dissipations: deque[dict] = deque(maxlen=1000)
+        
+        logger.info(
+            f"[{self.name}] Initialized: "
+            f"phase_threshold={self.config.phase_threshold}, "
+            f"collapse_threshold={self.config.collapse_threshold}"
+        )
+    
+    @property
+    def T_sync(self) -> complex:
+        """Get synchronized T value."""
+        return self._T_sync
+    
+    @property
+    def synchronized_coherence(self) -> float:
+        """Get synchronized coherence |T_sync|^2."""
+        return self._synchronized_coherence
+    
+    @property
+    def phase_difference(self) -> float:
+        """Get phase difference between Master and Emissary."""
+        return self._phase_difference
+    
+    @property
+    def aligned(self) -> bool:
+        """Check if transducers are aligned."""
+        return self._aligned
+    
+    @property
+    def collapsed(self) -> bool:
+        """Check if synchronized coherence has collapsed."""
+        return self._collapsed
+    
+    @property
+    def history(self) -> list[dict]:
+        """Get synchronization history."""
+        return list(self._sync_history)
+    
+    async def synchronize(self) -> dict:
+        """
+        Synchronize Master and Emissary.
+        
+        This is the core operation:
+        1. Get Master coherence
+        2. Get Emissary coherence
+        3. Compute phase difference
+        4. Check alignment
+        5. Generate synchronized coherence
+        6. Check collapse
+        
+        Returns:
+            Dict with synchronization results
+            
+        Example:
+            >>> sync = SynchronizationLayer(master, emissary)
+            >>> for _ in range(100):
+            ...     await master.integrate(thought)
+            ...     await emissary.respond(query)
+            ...     result = await sync.synchronize()
+            ...     if result['dissipated']:
+            ...         print("Un-coherent input rejected")
+        """
+        # Get coherence from both transducers
+        T_master = self.master.engine.T_tau
+        T_emissary = self.emissary.engine.T_tau
+        
+        master_coherence = self.master.coherence
+        emissary_coherence = self.emissary.coherence
+        
+        # Compute phase difference
+        # Delta_phase = ||T_master| - |T_emissary||
+        master_mag = np.abs(T_master)
+        emissary_mag = np.abs(T_emissary)
+        self._phase_difference = abs(master_mag - emissary_mag)
+        
+        # Check alignment
+        self._aligned = self._phase_difference <= self.config.phase_threshold
+        
+        # Compute synchronized coherence
+        # T_sync = (T_master + T_emissary) / 2
+        self._T_sync = (T_master + T_emissary) / 2.0
+        self._synchronized_coherence = float(np.abs(self._T_sync) ** 2)
+        
+        # Check collapse
+        was_collapsed = self._collapsed
+        self._collapsed = (
+            self._synchronized_coherence >= self.config.collapse_threshold
+        )
+        
+        if self._collapsed and not was_collapsed:
+            self._collapse_timestamp = datetime.utcnow()
+            logger.info(
+                f"[{self.name}] SYNCHRONIZED COLLAPSE at "
+                f"{self._collapse_timestamp.isoformat()}"
+            )
+        
+        # Handle dissipation (un-coherent input)
+        dissipated = False
+        if not self._aligned and self._phase_difference > self.config.phase_threshold * 2:
+            # Reject un-coherent input
+            dissipated = True
+            dissipation_record = {
+                "timestamp": datetime.utcnow().isoformat(),
+                "phase_difference": self._phase_difference,
+                "master_coherence": master_coherence,
+                "emissary_coherence": emissary_coherence,
+                "reason": "Phase misalignment beyond threshold"
+            }
+            self._dissipations.append(dissipation_record)
+            logger.warning(
+                f"[{self.name}] DISSIPATED: "
+                f"Delta_phase={self._phase_difference:.3f} > "
+                f"{self.config.phase_threshold:.3f}"
+            )
+        
+        # Apply dampening if collapsed
+        if self._collapsed:
+            self._T_sync = self._T_sync * self.config.dampening
+            self._synchronized_coherence = float(np.abs(self._T_sync) ** 2)
+        
+        # Record synchronization
+        sync_record = {
+            "timestamp": datetime.utcnow().isoformat(),
+            "T_master": T_master,
+            "T_emissary": T_emissary,
+            "T_sync": self._T_sync,
+            "synchronized_coherence": self._synchronized_coherence,
+            "phase_difference": self._phase_difference,
+            "aligned": self._aligned,
+            "collapsed": self._collapsed,
+            "dissipated": dissipated,
+            "master_integrations": self.master.engine.integration_count,
+            "emissary_integrations": self.emissary.engine.integration_count,
+        }
+        self._sync_history.append(sync_record)
+        
+        logger.debug(
+            f"[{self.name}] Sync: coherence={self._synchronized_coherence:.3f}, "
+            f"aligned={self._aligned}"
+        )
+        
+        return sync_record
+    
+    async def synchronize_loop(self, interval: float = 0.01):
+        """
+        Run synchronization loop.
+        
+        Continuously synchronizes Master and Emissary at the
+        specified interval.
+        
+        Args:
+            interval: Time between synchronizations (seconds)
+        """
+        logger.info(f"[{self.name}] Starting sync loop (interval={interval}s)")
+        
+        while True:
+            try:
+                await self.synchronize()
+                await asyncio.sleep(interval)
+            except asyncio.CancelledError:
+                logger.info(f"[{self.name}] Sync loop cancelled")
+                raise
+            except Exception as e:
+                logger.error(f"[{self.name}] Sync loop error: {e}")
+                await asyncio.sleep(1)  # Back off on error
+    
+    async def get_witness_report(self) -> dict:
+        """
+        Get a comprehensive witness report.
+        
+        Returns:
+            Full state snapshot
+        """
+        return {
+            "layer": self.name,
+            "type": "SYNCHRONIZATION",
+            "timestamp": datetime.utcnow().isoformat(),
+            "config": {
+                "phase_threshold": self.config.phase_threshold,
+                "collapse_threshold": self.config.collapse_threshold,
+                "dampening": self.config.dampening,
+            },
+            "state": {
+                "T_sync": [self._T_sync.real, self._T_sync.imag],
+                "synchronized_coherence": self._synchronized_coherence,
+                "phase_difference": self._phase_difference,
+                "aligned": self._aligned,
+                "collapsed": self._collapsed,
+                "collapse_timestamp": (
+                    self._collapse_timestamp.isoformat() 
+                    if self._collapse_timestamp else None
+                ),
+            },
+            "master_state": self.master.get_state(),
+            "emissary_state": self.emissary.get_state(),
+            "sync_history_length": len(self._sync_history),
+            "dissipations_count": len(self._dissipations),
+        }
+    
+    def get_state(self) -> dict:
+        """Get current state as dictionary."""
+        return {
+            "name": self.name,
+            "type": "SYNCHRONIZATION",
+            "T_sync": self._T_sync,
+            "synchronized_coherence": self._synchronized_coherence,
+            "phase_difference": self._phase_difference,
+            "aligned": self._aligned,
+            "collapsed": self._collapsed,
+            "config": {
+                "phase_threshold": self.config.phase_threshold,
+                "collapse_threshold": self.config.collapse_threshold,
+            }
+        }
+    
+    def reset(self):
+        """Reset synchronization state."""
+        self._T_sync = complex(0, 0)
+        self._synchronized_coherence = 0.0
+        self._phase_difference = 0.0
+        self._aligned = False
+        self._collapsed = False
+        self._collapse_timestamp = None
+        self._sync_history.clear()
+        self._dissipations.clear()
+        logger.info(f"[{self.name}] Reset to initial state")
+    
+    def __repr__(self) -> str:
+        return (
+            f"SynchronizationLayer("
+            f"coherence={self._synchronized_coherence:.3f}, "
+            f"aligned={self._aligned}, "
+            f"collapsed={self._collapsed}"
+            f")"
+        )