feat(mnemosyne): add memory decay system to MnemosyneArchive

Part of #1258.
- touch(entry_id): record access, boost vitality
- get_vitality(entry_id): current vitality status  
- fading(limit): most neglected entries
- vibrant(limit): most alive entries
- apply_decay(): decay all entries, persist
- stats() updated with avg_vitality, fading_count, vibrant_count

Decay: exponential with 30-day half-life.
Touch: 0.1 * (1 - current_vitality) — diminishing returns.

nexus/mnemosyne/archive.py

@@ -389,6 +389,17 @@ class MnemosyneArchive:
         oldest_entry = timestamps[0] if timestamps else None
         newest_entry = timestamps[-1] if timestamps else None
 
+        # Vitality summary
+        if n > 0:
+            vitalities = [self._compute_vitality(e) for e in entries]
+            avg_vitality = round(sum(vitalities) / n, 4)
+            fading_count = sum(1 for v in vitalities if v < 0.3)
+            vibrant_count = sum(1 for v in vitalities if v > 0.7)
+        else:
+            avg_vitality = 0.0
+            fading_count = 0
+            vibrant_count = 0
+
         return {
             "entries": n,
             "total_links": total_links,
@@ -398,6 +409,9 @@ class MnemosyneArchive:
             "link_density": link_density,
             "oldest_entry": oldest_entry,
             "newest_entry": newest_entry,
+            "avg_vitality": avg_vitality,
+            "fading_count": fading_count,
+            "vibrant_count": vibrant_count,
         }
 
     def _build_adjacency(self) -> dict[str, set[str]]:
@@ -742,6 +756,188 @@ class MnemosyneArchive:
         results.sort(key=lambda e: e.created_at)
         return results
 
+    # ─── Memory Decay ─────────────────────────────────────────
+
+    # Decay parameters
+    _DECAY_HALF_LIFE_DAYS: float = 30.0  # Half-life for exponential decay
+    _TOUCH_BOOST_FACTOR: float = 0.1     # Base boost on access (diminishes as vitality → 1.0)
+
+    def touch(self, entry_id: str) -> ArchiveEntry:
+        """Record an access to an entry, boosting its vitality.
+
+        The boost is ``_TOUCH_BOOST_FACTOR * (1 - current_vitality)`` —
+        diminishing returns as vitality approaches 1.0 ensures entries
+        can never exceed 1.0 through touch alone.
+
+        Args:
+            entry_id: ID of the entry to touch.
+
+        Returns:
+            The updated ArchiveEntry.
+
+        Raises:
+            KeyError: If entry_id does not exist.
+        """
+        entry = self._entries.get(entry_id)
+        if entry is None:
+            raise KeyError(entry_id)
+
+        now = datetime.now(timezone.utc).isoformat()
+
+        # Compute current decayed vitality before boosting
+        current = self._compute_vitality(entry)
+        boost = self._TOUCH_BOOST_FACTOR * (1.0 - current)
+        entry.vitality = min(1.0, current + boost)
+        entry.last_accessed = now
+        self._save()
+        return entry
+
+    def _compute_vitality(self, entry: ArchiveEntry) -> float:
+        """Compute the current vitality of an entry based on time decay.
+
+        Uses exponential decay: ``v = base * 0.5 ^ (hours_since_access / half_life_hours)``
+
+        If the entry has never been accessed, uses ``created_at`` as the
+        reference point. New entries with no access start at full vitality.
+
+        Args:
+            entry: The archive entry.
+
+        Returns:
+            Current vitality as a float in [0.0, 1.0].
+        """
+        if entry.last_accessed is None:
+            # Never accessed — check age from creation
+            created = self._parse_dt(entry.created_at)
+            hours_elapsed = (datetime.now(timezone.utc) - created).total_seconds() / 3600
+        else:
+            last = self._parse_dt(entry.last_accessed)
+            hours_elapsed = (datetime.now(timezone.utc) - last).total_seconds() / 3600
+
+        half_life_hours = self._DECAY_HALF_LIFE_DAYS * 24
+        if hours_elapsed <= 0 or half_life_hours <= 0:
+            return entry.vitality
+
+        decayed = entry.vitality * (0.5 ** (hours_elapsed / half_life_hours))
+        return max(0.0, min(1.0, decayed))
+
+    def get_vitality(self, entry_id: str) -> dict:
+        """Get the current vitality status of an entry.
+
+        Args:
+            entry_id: ID of the entry.
+
+        Returns:
+            Dict with keys: entry_id, title, vitality, last_accessed, age_days
+
+        Raises:
+            KeyError: If entry_id does not exist.
+        """
+        entry = self._entries.get(entry_id)
+        if entry is None:
+            raise KeyError(entry_id)
+
+        current_vitality = self._compute_vitality(entry)
+        created = self._parse_dt(entry.created_at)
+        age_days = (datetime.now(timezone.utc) - created).days
+
+        return {
+            "entry_id": entry.id,
+            "title": entry.title,
+            "vitality": round(current_vitality, 4),
+            "last_accessed": entry.last_accessed,
+            "age_days": age_days,
+        }
+
+    def fading(self, limit: int = 10) -> list[dict]:
+        """Return entries with the lowest vitality (most neglected).
+
+        Args:
+            limit: Maximum number of entries to return.
+
+        Returns:
+            List of dicts sorted by vitality ascending (most faded first).
+            Each dict has keys: entry_id, title, vitality, last_accessed, age_days
+        """
+        scored = []
+        for entry in self._entries.values():
+            v = self._compute_vitality(entry)
+            created = self._parse_dt(entry.created_at)
+            age_days = (datetime.now(timezone.utc) - created).days
+            scored.append({
+                "entry_id": entry.id,
+                "title": entry.title,
+                "vitality": round(v, 4),
+                "last_accessed": entry.last_accessed,
+                "age_days": age_days,
+            })
+        scored.sort(key=lambda x: x["vitality"])
+        return scored[:limit]
+
+    def vibrant(self, limit: int = 10) -> list[dict]:
+        """Return entries with the highest vitality (most alive).
+
+        Args:
+            limit: Maximum number of entries to return.
+
+        Returns:
+            List of dicts sorted by vitality descending (most vibrant first).
+            Each dict has keys: entry_id, title, vitality, last_accessed, age_days
+        """
+        scored = []
+        for entry in self._entries.values():
+            v = self._compute_vitality(entry)
+            created = self._parse_dt(entry.created_at)
+            age_days = (datetime.now(timezone.utc) - created).days
+            scored.append({
+                "entry_id": entry.id,
+                "title": entry.title,
+                "vitality": round(v, 4),
+                "last_accessed": entry.last_accessed,
+                "age_days": age_days,
+            })
+        scored.sort(key=lambda x: x["vitality"], reverse=True)
+        return scored[:limit]
+
+    def apply_decay(self) -> dict:
+        """Apply time-based decay to all entries and persist.
+
+        Recomputes each entry's vitality based on elapsed time since
+        its last access (or creation if never accessed). Saves the
+        archive after updating.
+
+        Returns:
+            Dict with keys: total_entries, decayed_count, avg_vitality,
+            fading_count (entries below 0.3), vibrant_count (entries above 0.7)
+        """
+        decayed = 0
+        total_vitality = 0.0
+        fading_count = 0
+        vibrant_count = 0
+
+        for entry in self._entries.values():
+            old_v = entry.vitality
+            new_v = self._compute_vitality(entry)
+            if abs(new_v - old_v) > 1e-6:
+                entry.vitality = new_v
+                decayed += 1
+            total_vitality += entry.vitality
+            if entry.vitality < 0.3:
+                fading_count += 1
+            if entry.vitality > 0.7:
+                vibrant_count += 1
+
+        n = len(self._entries)
+        self._save()
+
+        return {
+            "total_entries": n,
+            "decayed_count": decayed,
+            "avg_vitality": round(total_vitality / n, 4) if n else 0.0,
+            "fading_count": fading_count,
+            "vibrant_count": vibrant_count,
+        }
+
     def rebuild_links(self, threshold: Optional[float] = None) -> int:
         """Recompute all links from scratch.