diff --git a/atomizer-dashboard/backend/api/routes/optimization.py b/atomizer-dashboard/backend/api/routes/optimization.py
index 69c37923..11188766 100644
--- a/atomizer-dashboard/backend/api/routes/optimization.py
+++ b/atomizer-dashboard/backend/api/routes/optimization.py
@@ -34,6 +34,63 @@ def get_results_dir(study_dir: Path) -> Path:
     return results_dir
 
 
+def is_optimization_running(study_id: str) -> bool:
+    """Check if an optimization process is currently running for a study.
+
+    Looks for Python processes running run_optimization.py with the study_id in the command line.
+    """
+    study_dir = STUDIES_DIR / study_id
+
+    for proc in psutil.process_iter(['pid', 'name', 'cmdline', 'cwd']):
+        try:
+            cmdline = proc.info.get('cmdline') or []
+            cmdline_str = ' '.join(cmdline) if cmdline else ''
+
+            # Check if this is a Python process running run_optimization.py for this study
+            if 'python' in cmdline_str.lower() and 'run_optimization' in cmdline_str:
+                if study_id in cmdline_str or str(study_dir) in cmdline_str:
+                    return True
+        except (psutil.NoSuchProcess, psutil.AccessDenied):
+            continue
+
+    return False
+
+
+def get_accurate_study_status(study_id: str, trial_count: int, total_trials: int, has_db: bool) -> str:
+    """Determine accurate study status based on multiple factors.
+
+    Status can be:
+    - not_started: No database or 0 trials
+    - running: Active process found
+    - paused: Has trials but no active process and not completed
+    - completed: Reached trial target
+    - failed: Has error indicators (future enhancement)
+
+    Args:
+        study_id: The study identifier
+        trial_count: Number of completed trials
+        total_trials: Target number of trials from config
+        has_db: Whether the study database exists
+
+    Returns:
+        Status string: "not_started", "running", "paused", or "completed"
+    """
+    # No database or no trials = not started
+    if not has_db or trial_count == 0:
+        return "not_started"
+
+    # Check if we've reached the target
+    if trial_count >= total_trials:
+        return "completed"
+
+    # Check if process is actively running
+    if is_optimization_running(study_id):
+        return "running"
+
+    # Has trials but not running and not complete = paused
+    return "paused"
+
+
 @router.get("/studies")
 async def list_studies():
     """List all available optimization studies"""
@@ -66,12 +123,13 @@ async def list_studies():
             study_db = results_dir / "study.db"
             history_file = results_dir / "optimization_history_incremental.json"
 
-            status = "not_started"
             trial_count = 0
             best_value = None
+            has_db = False
 
             # Protocol 10: Read from Optuna SQLite database
             if study_db.exists():
+                has_db = True
                 try:
                     # Use timeout to avoid blocking on locked databases
                     conn = sqlite3.connect(str(study_db), timeout=2.0)
@@ -97,19 +155,12 @@ async def list_studies():
 
                     conn.close()
 
-                    # Determine status
-                    total_trials = config.get('optimization_settings', {}).get('n_trials', 50)
-                    if trial_count >= total_trials:
-                        status = "completed"
-                    else:
-                        status = "running"  # Simplified - would need process check
-
                 except Exception as e:
                     print(f"Warning: Failed to read Optuna database for {study_dir.name}: {e}")
-                    status = "error"
 
             # Legacy: Read from JSON history
             elif history_file.exists():
+                has_db = True
                 with open(history_file) as f:
                     history = json.load(f)
                     trial_count = len(history)
@@ -118,19 +169,15 @@ async def list_studies():
                         best_trial = min(history, key=lambda x: x['objective'])
                         best_value = best_trial['objective']
 
-                        # Determine status
-                        total_trials = config.get('trials', {}).get('n_trials', 50)
-                        if trial_count >= total_trials:
-                            status = "completed"
-                        else:
-                            status = "running"  # Simplified - would need process check
-
             # Get total trials from config (supports both formats)
             total_trials = (
                 config.get('optimization_settings', {}).get('n_trials') or
                 config.get('trials', {}).get('n_trials', 50)
             )
 
+            # Get accurate status using process detection
+            status = get_accurate_study_status(study_dir.name, trial_count, total_trials, has_db)
+
             # Get creation date from directory or config modification time
             created_at = None
             try:
@@ -240,7 +287,7 @@ async def get_study_status(study_id: str):
             conn.close()
 
             total_trials = config.get('optimization_settings', {}).get('n_trials', 50)
-            status = "completed" if trial_count >= total_trials else "running"
+            status = get_accurate_study_status(study_id, trial_count, total_trials, True)
 
             return {
                 "study_id": study_id,
@@ -639,6 +686,82 @@ async def get_pareto_front(study_id: str):
     except Exception as e:
         raise HTTPException(status_code=500, detail=f"Failed to get Pareto front: {str(e)}")
 
+
+@router.get("/studies/{study_id}/nn-pareto-front")
+async def get_nn_pareto_front(study_id: str):
+    """Get NN surrogate Pareto front from nn_pareto_front.json"""
+    try:
+        study_dir = STUDIES_DIR / study_id
+        results_dir = get_results_dir(study_dir)
+        nn_pareto_file = results_dir / "nn_pareto_front.json"
+
+        if not nn_pareto_file.exists():
+            return {"has_nn_results": False, "pareto_front": []}
+
+        with open(nn_pareto_file) as f:
+            nn_pareto = json.load(f)
+
+        # Transform to match Trial interface format
+        transformed = []
+        for trial in nn_pareto:
+            transformed.append({
+                "trial_number": trial.get("trial_number"),
+                "values": [trial.get("mass"), trial.get("frequency")],
+                "params": trial.get("params", {}),
+                "user_attrs": {
+                    "source": "NN",
+                    "feasible": trial.get("feasible", False),
+                    "predicted_stress": trial.get("predicted_stress"),
+                    "predicted_displacement": trial.get("predicted_displacement"),
+                    "mass": trial.get("mass"),
+                    "frequency": trial.get("frequency")
+                },
+                "constraint_satisfied": trial.get("feasible", False),
+                "source": "NN"
+            })
+
+        return {
+            "has_nn_results": True,
+            "pareto_front": transformed,
+            "count": len(transformed)
+        }
+
+    except FileNotFoundError:
+        raise HTTPException(status_code=404, detail=f"Study {study_id} not found")
+    except Exception as e:
+        raise HTTPException(status_code=500, detail=f"Failed to get NN Pareto front: {str(e)}")
+
+
+@router.get("/studies/{study_id}/nn-state")
+async def get_nn_optimization_state(study_id: str):
+    """Get NN optimization state/summary from nn_optimization_state.json"""
+    try:
+        study_dir = STUDIES_DIR / study_id
+        results_dir = get_results_dir(study_dir)
+        nn_state_file = results_dir / "nn_optimization_state.json"
+
+        if not nn_state_file.exists():
+            return {"has_nn_state": False}
+
+        with open(nn_state_file) as f:
+            state = json.load(f)
+
+        return {
+            "has_nn_state": True,
+            "total_fea_count": state.get("total_fea_count", 0),
+            "total_nn_count": state.get("total_nn_count", 0),
+            "pareto_front_size": state.get("pareto_front_size", 0),
+            "best_mass": state.get("best_mass"),
+            "best_frequency": state.get("best_frequency"),
+            "timestamp": state.get("timestamp")
+        }
+
+    except FileNotFoundError:
+        raise HTTPException(status_code=404, detail=f"Study {study_id} not found")
+    except Exception as e:
+        raise HTTPException(status_code=500, detail=f"Failed to get NN state: {str(e)}")
+
+
 @router.post("/studies")
 async def create_study(
     config: str = Form(...),
diff --git a/atomizer-dashboard/frontend/src/App.tsx b/atomizer-dashboard/frontend/src/App.tsx
index dbb3735f..11d29888 100644
--- a/atomizer-dashboard/frontend/src/App.tsx
+++ b/atomizer-dashboard/frontend/src/App.tsx
@@ -1,7 +1,9 @@
 import { BrowserRouter, Routes, Route } from 'react-router-dom';
 import { QueryClient, QueryClientProvider } from '@tanstack/react-query';
 import { StudyProvider } from './context/StudyContext';
+import { ClaudeTerminalProvider } from './context/ClaudeTerminalContext';
 import { MainLayout } from './components/layout/MainLayout';
+import { GlobalClaudeTerminal } from './components/GlobalClaudeTerminal';
 import Home from './pages/Home';
 import Dashboard from './pages/Dashboard';
 import Results from './pages/Results';
@@ -19,19 +21,24 @@ function App() {
   return (
     <QueryClientProvider client={queryClient}>
       <StudyProvider>
-        <BrowserRouter>
-          <Routes>
-            {/* Home page - no sidebar layout */}
-            <Route path="/" element={<Home />} />
+        <ClaudeTerminalProvider>
+          <BrowserRouter>
+            <Routes>
+              {/* Home page - no sidebar layout */}
+              <Route path="/" element={<Home />} />
 
-            {/* Study pages - with sidebar layout */}
-            <Route element={<MainLayout />}>
-              <Route path="dashboard" element={<Dashboard />} />
-              <Route path="results" element={<Results />} />
-              <Route path="analytics" element={<Dashboard />} />
-            </Route>
-          </Routes>
-        </BrowserRouter>
+              {/* Study pages - with sidebar layout */}
+              <Route element={<MainLayout />}>
+                <Route path="dashboard" element={<Dashboard />} />
+                <Route path="results" element={<Results />} />
+                <Route path="analytics" element={<Dashboard />} />
+              </Route>
+            </Routes>
+
+            {/* Global Claude Terminal - persists across navigation */}
+            <GlobalClaudeTerminal />
+          </BrowserRouter>
+        </ClaudeTerminalProvider>
       </StudyProvider>
     </QueryClientProvider>
   );
diff --git a/atomizer-dashboard/frontend/src/components/ClaudeTerminal.tsx b/atomizer-dashboard/frontend/src/components/ClaudeTerminal.tsx
index ef0c027d..e2321e34 100644
--- a/atomizer-dashboard/frontend/src/components/ClaudeTerminal.tsx
+++ b/atomizer-dashboard/frontend/src/components/ClaudeTerminal.tsx
@@ -13,6 +13,7 @@ import {
   FolderOpen
 } from 'lucide-react';
 import { useStudy } from '../context/StudyContext';
+import { useClaudeTerminal } from '../context/ClaudeTerminalContext';
 
 interface ClaudeTerminalProps {
   isExpanded?: boolean;
@@ -26,17 +27,24 @@ export const ClaudeTerminal: React.FC<ClaudeTerminalProps> = ({
   onClose
 }) => {
   const { selectedStudy } = useStudy();
+  const { setIsConnected: setGlobalConnected } = useClaudeTerminal();
   const terminalRef = useRef<HTMLDivElement>(null);
   const xtermRef = useRef<Terminal | null>(null);
   const fitAddonRef = useRef<FitAddon | null>(null);
   const wsRef = useRef<WebSocket | null>(null);
-  const [isConnected, setIsConnected] = useState(false);
+  const [isConnected, setIsConnectedLocal] = useState(false);
   const [isConnecting, setIsConnecting] = useState(false);
   const [_error, setError] = useState<string | null>(null);
   const [cliAvailable, setCliAvailable] = useState<boolean | null>(null);
   const [contextSet, setContextSet] = useState(false);
   const [settingContext, setSettingContext] = useState(false);
 
+  // Sync local connection state to global context
+  const setIsConnected = useCallback((connected: boolean) => {
+    setIsConnectedLocal(connected);
+    setGlobalConnected(connected);
+  }, [setGlobalConnected]);
+
   // Check CLI availability
   useEffect(() => {
     fetch('/api/terminal/status')
@@ -251,9 +259,13 @@ export const ClaudeTerminal: React.FC<ClaudeTerminalProps> = ({
     if (!wsRef.current || wsRef.current.readyState !== WebSocket.OPEN || !selectedStudy?.id) return;
 
     setSettingContext(true);
-    // Send context message - Claude should use CLAUDE.md and .claude/skills/ for guidance
-    const contextMessage = `Context: Working on study "${selectedStudy.id}" at studies/${selectedStudy.id}/. ` +
-      `Read .claude/skills/ for task protocols. Use atomizer conda env. Acknowledge briefly.`;
+    // Send context message with POS bootstrap instructions and study context
+    const contextMessage =
+      `You are helping with Atomizer optimization. ` +
+      `First read: .claude/skills/00_BOOTSTRAP.md for task routing. ` +
+      `Then follow the Protocol Execution Framework. ` +
+      `Study context: Working on "${selectedStudy.id}" at studies/${selectedStudy.id}/. ` +
+      `Use atomizer conda env. Acknowledge briefly.`;
     wsRef.current.send(JSON.stringify({ type: 'input', data: contextMessage + '\n' }));
 
     // Mark as done after Claude has had time to process
diff --git a/atomizer-dashboard/frontend/src/components/GlobalClaudeTerminal.tsx b/atomizer-dashboard/frontend/src/components/GlobalClaudeTerminal.tsx
new file mode 100644
index 00000000..b4718d84
--- /dev/null
+++ b/atomizer-dashboard/frontend/src/components/GlobalClaudeTerminal.tsx
@@ -0,0 +1,50 @@
+import React from 'react';
+import { useClaudeTerminal } from '../context/ClaudeTerminalContext';
+import { ClaudeTerminal } from './ClaudeTerminal';
+import { Terminal } from 'lucide-react';
+
+/**
+ * GlobalClaudeTerminal - A floating terminal that persists across page navigation
+ *
+ * This component renders at the App level and maintains the Claude Code session
+ * even when the user navigates between pages. It can be minimized to a floating
+ * button or expanded to a side panel.
+ */
+export const GlobalClaudeTerminal: React.FC = () => {
+  const { isOpen, setIsOpen, isExpanded, setIsExpanded, isConnected } = useClaudeTerminal();
+
+  // Floating button when terminal is closed
+  if (!isOpen) {
+    return (
+      <button
+        onClick={() => setIsOpen(true)}
+        className={`fixed bottom-6 right-6 p-4 rounded-full shadow-lg transition-all z-50 ${
+          isConnected
+            ? 'bg-green-600 hover:bg-green-500'
+            : 'bg-primary-600 hover:bg-primary-500'
+        }`}
+        title={isConnected ? 'Claude Terminal (Connected)' : 'Open Claude Terminal'}
+      >
+        <Terminal className="w-6 h-6 text-white" />
+        {isConnected && (
+          <span className="absolute -top-1 -right-1 w-3 h-3 bg-green-400 rounded-full border-2 border-dark-900 animate-pulse" />
+        )}
+      </button>
+    );
+  }
+
+  // Terminal panel
+  return (
+    <div className={`fixed z-50 transition-all duration-200 ${
+      isExpanded
+        ? 'inset-4'
+        : 'bottom-6 right-6 w-[650px] h-[500px]'
+    }`}>
+      <ClaudeTerminal
+        isExpanded={isExpanded}
+        onToggleExpand={() => setIsExpanded(!isExpanded)}
+        onClose={() => setIsOpen(false)}
+      />
+    </div>
+  );
+};
diff --git a/atomizer-dashboard/frontend/src/context/ClaudeTerminalContext.tsx b/atomizer-dashboard/frontend/src/context/ClaudeTerminalContext.tsx
new file mode 100644
index 00000000..82dcb0a2
--- /dev/null
+++ b/atomizer-dashboard/frontend/src/context/ClaudeTerminalContext.tsx
@@ -0,0 +1,42 @@
+import React, { createContext, useContext, useState, ReactNode } from 'react';
+
+interface ClaudeTerminalContextType {
+  // Terminal visibility state
+  isOpen: boolean;
+  setIsOpen: (open: boolean) => void;
+  isExpanded: boolean;
+  setIsExpanded: (expanded: boolean) => void;
+
+  // Connection state (updated by the terminal component)
+  isConnected: boolean;
+  setIsConnected: (connected: boolean) => void;
+}
+
+const ClaudeTerminalContext = createContext<ClaudeTerminalContextType | undefined>(undefined);
+
+export const ClaudeTerminalProvider: React.FC<{ children: ReactNode }> = ({ children }) => {
+  const [isOpen, setIsOpen] = useState(false);
+  const [isExpanded, setIsExpanded] = useState(false);
+  const [isConnected, setIsConnected] = useState(false);
+
+  return (
+    <ClaudeTerminalContext.Provider value={{
+      isOpen,
+      setIsOpen,
+      isExpanded,
+      setIsExpanded,
+      isConnected,
+      setIsConnected
+    }}>
+      {children}
+    </ClaudeTerminalContext.Provider>
+  );
+};
+
+export const useClaudeTerminal = () => {
+  const context = useContext(ClaudeTerminalContext);
+  if (context === undefined) {
+    throw new Error('useClaudeTerminal must be used within a ClaudeTerminalProvider');
+  }
+  return context;
+};
diff --git a/atomizer-dashboard/frontend/src/pages/Dashboard.tsx b/atomizer-dashboard/frontend/src/pages/Dashboard.tsx
index 4090b5e3..9097294b 100644
--- a/atomizer-dashboard/frontend/src/pages/Dashboard.tsx
+++ b/atomizer-dashboard/frontend/src/pages/Dashboard.tsx
@@ -4,9 +4,9 @@ import { Terminal } from 'lucide-react';
 import { useOptimizationWebSocket } from '../hooks/useWebSocket';
 import { apiClient } from '../api/client';
 import { useStudy } from '../context/StudyContext';
+import { useClaudeTerminal } from '../context/ClaudeTerminalContext';
 import { Card } from '../components/common/Card';
 import { ControlPanel } from '../components/dashboard/ControlPanel';
-import { ClaudeTerminal } from '../components/ClaudeTerminal';
 import { ParetoPlot } from '../components/ParetoPlot';
 import { ParallelCoordinatesPlot } from '../components/ParallelCoordinatesPlot';
 import { ParameterImportanceChart } from '../components/ParameterImportanceChart';
@@ -64,9 +64,8 @@ export default function Dashboard() {
   // Chart library toggle: 'recharts' (faster) or 'plotly' (more interactive but slower)
   const [chartLibrary, setChartLibrary] = useState<'plotly' | 'recharts'>('recharts');
 
-  // Claude chat panel state
-  const [chatOpen, setChatOpen] = useState(false);
-  const [chatExpanded, setChatExpanded] = useState(false);
+  // Claude terminal from global context
+  const { isOpen: claudeTerminalOpen, setIsOpen: setClaudeTerminalOpen, isConnected: claudeConnected } = useClaudeTerminal();
 
   const showAlert = (type: 'success' | 'warning', message: string) => {
     const id = alertIdCounter;
@@ -353,16 +352,21 @@ export default function Dashboard() {
         <div className="flex gap-2">
           {/* Claude Code Terminal Toggle Button */}
           <button
-            onClick={() => setChatOpen(!chatOpen)}
+            onClick={() => setClaudeTerminalOpen(!claudeTerminalOpen)}
             className={`flex items-center gap-2 px-4 py-2 rounded-lg transition-colors ${
-              chatOpen
+              claudeTerminalOpen
                 ? 'bg-primary-600 text-white'
-                : 'bg-dark-700 text-dark-200 hover:bg-dark-600 hover:text-white border border-dark-600'
+                : claudeConnected
+                  ? 'bg-green-700 text-white border border-green-600'
+                  : 'bg-dark-700 text-dark-200 hover:bg-dark-600 hover:text-white border border-dark-600'
             }`}
-            title="Open Claude Code terminal"
+            title={claudeConnected ? 'Claude Terminal (Connected)' : 'Open Claude Code terminal'}
           >
             <Terminal className="w-4 h-4" />
             <span className="hidden sm:inline">Claude Code</span>
+            {claudeConnected && !claudeTerminalOpen && (
+              <span className="w-2 h-2 bg-green-400 rounded-full animate-pulse" />
+            )}
           </button>
           {selectedStudyId && (
             <StudyReportViewer studyId={selectedStudyId} />
@@ -417,10 +421,10 @@ export default function Dashboard() {
         <ControlPanel onStatusChange={refreshStudies} horizontal />
       </div>
 
-      {/* Main Layout: Charts + Claude Terminal */}
-      <div className={`grid gap-4 ${chatOpen ? 'grid-cols-12' : 'grid-cols-1'}`}>
+      {/* Main Layout: Charts (Claude Terminal is now global/floating) */}
+      <div className="grid gap-4 grid-cols-1">
         {/* Main Content - Charts stacked vertically */}
-        <main className={chatOpen ? 'col-span-7' : 'col-span-1'}>
+        <main>
           {/* Study Name Header + Metrics in one row */}
           <div className="mb-4 pb-3 border-b border-dark-600 flex items-center justify-between">
             <div>
@@ -790,17 +794,6 @@ export default function Dashboard() {
             />
           </div>
         </main>
-
-        {/* Claude Code Terminal - Right Sidebar (wider for better visibility) */}
-        {chatOpen && (
-          <aside className="col-span-5 h-[calc(100vh-12rem)] sticky top-4">
-            <ClaudeTerminal
-              isExpanded={chatExpanded}
-              onToggleExpand={() => setChatExpanded(!chatExpanded)}
-              onClose={() => setChatOpen(false)}
-            />
-          </aside>
-        )}
       </div>
     </div>
   );
diff --git a/atomizer-dashboard/frontend/src/pages/Home.tsx b/atomizer-dashboard/frontend/src/pages/Home.tsx
index e6b5c891..f5504752 100644
--- a/atomizer-dashboard/frontend/src/pages/Home.tsx
+++ b/atomizer-dashboard/frontend/src/pages/Home.tsx
@@ -3,6 +3,7 @@ import { useNavigate } from 'react-router-dom';
 import {
   FolderOpen,
   Play,
+  Pause,
   CheckCircle,
   Clock,
   AlertCircle,
@@ -64,6 +65,8 @@ const Home: React.FC = () => {
     switch (status) {
       case 'running':
         return <Play className="w-3.5 h-3.5" />;
+      case 'paused':
+        return <Pause className="w-3.5 h-3.5" />;
       case 'completed':
         return <CheckCircle className="w-3.5 h-3.5" />;
       case 'not_started':
@@ -81,6 +84,12 @@ const Home: React.FC = () => {
           card: 'border-green-500/30 hover:border-green-500/50',
           glow: 'shadow-green-500/10'
         };
+      case 'paused':
+        return {
+          badge: 'bg-orange-500/20 text-orange-400 border-orange-500/30',
+          card: 'border-orange-500/30 hover:border-orange-500/50',
+          glow: 'shadow-orange-500/10'
+        };
       case 'completed':
         return {
           badge: 'bg-blue-500/20 text-blue-400 border-blue-500/30',
diff --git a/atomizer-dashboard/frontend/vite.config.ts b/atomizer-dashboard/frontend/vite.config.ts
index 7af253fd..248ad643 100644
--- a/atomizer-dashboard/frontend/vite.config.ts
+++ b/atomizer-dashboard/frontend/vite.config.ts
@@ -10,7 +10,7 @@ export default defineConfig({
     strictPort: false, // Allow fallback to next available port
     proxy: {
       '/api': {
-        target: 'http://127.0.0.1:8001', // Use 127.0.0.1 instead of localhost
+        target: 'http://127.0.0.1:8000', // Use 127.0.0.1 instead of localhost
         changeOrigin: true,
         secure: false,
         ws: true,