diff --git a/Sources/Kapture/ResultWindow.swift b/Sources/Kapture/ResultWindow.swift
index 3996c26..f95965d 100644
--- a/Sources/Kapture/ResultWindow.swift
+++ b/Sources/Kapture/ResultWindow.swift
@@ -6,6 +6,12 @@ final class ResultWindow {
     static let shared = ResultWindow()
 
     private var windows: [NSWindow] = []
+    /// Kept alive: the hosting controller drives the SwiftUI view we attach
+    /// directly as the window's contentView. Using contentViewController
+    /// would install Auto Layout constraints that force the window to the
+    /// view's fitting size — it shrank whenever the layout branch changed
+    /// (e.g. toggling Actual Size).
+    private var hosts: [ObjectIdentifier: NSHostingController<ResultView>] = [:]
     private var nextOrigin = NSPoint(x: 60, y: 60)
     private var openCount = 0
 
@@ -13,15 +19,21 @@ final class ResultWindow {
     func show(image: CGImage) {
         let model = CaptureModel(image: image)
         let w = NSWindow()
-        w.contentViewController = NSHostingController(rootView: ResultView(model: model) {
+        let host = NSHostingController(rootView: ResultView(model: model) {
             w.close()
         })
+        w.contentView = host.view
+        hosts[ObjectIdentifier(w)] = host
         w.title = "Kapture — Screenshot" + (openCount > 0 ? " \(openCount + 1)" : "")
         w.level = .floating
         w.styleMask = [.titled, .closable, .resizable]
         w.setContentSize(NSSize(width: 694, height: 520))
         w.isReleasedWhenClosed = false
         w.setFrameOrigin(nextOrigin)
+        // Activate so the FIRST click on any control (Actual Size, Copy, the
+        // mode picker…) reaches it. Without this, an inactive LSUIElement
+        // app's windows swallow the initial click just to activate.
+        NSApp.activate(ignoringOtherApps: true)
         w.makeKeyAndOrderFront(nil)
 
         windows.append(w)
@@ -40,6 +52,7 @@ final class ResultWindow {
             Task { @MainActor in
                 guard let self else { return }
                 self.windows.removeAll { $0 === window }
+                self.hosts[ObjectIdentifier(window)] = nil
                 self.openCount = max(0, self.openCount - 1)
             }
         }
@@ -525,8 +538,61 @@ private struct CapIconButton: View {
     }
 }
 
-// MARK: - Result window
+/// Reports the hosting window's backing scale factor. Used by the
+/// actual-size view so one image pixel maps to exactly one device pixel.
+/// SwiftUI's `displayScale` environment is unreliable on macOS and does not
+/// follow the window when it moves between displays of different densities.
+private struct WindowScaleReader: NSViewRepresentable {
+    let onChange: (CGFloat) -> Void
 
+    func makeNSView(context: Context) -> ScaleProbeView {
+        let view = ScaleProbeView()
+        view.onChange = onChange
+        return view
+    }
+
+    func updateNSView(_ nsView: ScaleProbeView, context: Context) {
+        nsView.onChange = onChange
+    }
+
+    final class ScaleProbeView: NSView {
+        var onChange: ((CGFloat) -> Void)?
+        private var observers: [NSObjectProtocol] = []
+        private var lastScale: CGFloat = 0
+
+        override func viewDidMoveToWindow() {
+            super.viewDidMoveToWindow()
+            observers.forEach(NotificationCenter.default.removeObserver)
+            observers = []
+            report()
+            guard let window else { return }
+            for name in [NSWindow.didChangeBackingPropertiesNotification,
+                         NSWindow.didChangeScreenNotification] {
+                observers.append(NotificationCenter.default.addObserver(
+                    forName: name, object: window, queue: .main
+                ) { [weak self] _ in
+                    self?.report()
+                })
+            }
+        }
+
+        private func report() {
+            let scale = window?.backingScaleFactor ?? NSScreen.main?.backingScaleFactor ?? 2
+            guard scale != lastScale else { return }
+            lastScale = scale
+            // Defer: this runs during layout, and the callback writes @State.
+            DispatchQueue.main.async { [weak self] in
+                self?.onChange?(scale)
+            }
+        }
+
+        deinit {
+            observers.forEach(NotificationCenter.default.removeObserver)
+        }
+    }
+}
+
+// MARK: - Result window
 struct ResultView: View {
     @ObservedObject var model: CaptureModel
     let onClose: () -> Void
@@ -714,7 +780,7 @@ struct ResultView: View {
                         ? "Adjust the crop — Return to apply, Esc to cancel."
                         : (model.hasSelection
                             ? "Region selected — OCR it, or adjust it with Crop."
-                            : (model.isActualSize ? "Actual size — scroll to pan, drag to select." : "Drag to select a region, or Get All Text.")))
+                            : (model.isActualSize ? "Actual size — 1:1 pixels, scroll to pan." : "Drag to select a region, or Get All Text.")))
                     : "Selectable text"))
                     .font(.caption)
                     .foregroundStyle(.secondary)
@@ -871,15 +937,21 @@ struct ScreenshotPane: View {
         model.cropRect = newRect
     }
 
-    @Environment(\.displayScale) private var displayScale
+    @State private var windowScale: CGFloat = 2
+
+    /// Image pixels to window points. Actual size is 1 image pixel per
+    /// device pixel, i.e. 1/windowScale points.
+    private var actualSizeScale: CGFloat {
+        1 / max(windowScale, 0.01)
+    }
 
     var body: some View {
         GeometryReader { geo in
             if model.isActualSize {
                 // Actual size: 1 image pixel per screen pixel (view scale =
-                // 1/displayScale). Scrollable when larger than the viewport;
+                // 1/windowScale). Scrollable when larger than the viewport;
                 // centred when smaller.
-                let scale = 1 / max(displayScale, 0.01)
+                let scale = actualSizeScale
                 let drawSize = CGSize(width: imageSize.width * scale, height: imageSize.height * scale)
                 let origin = CGPoint(
                     x: max(0, (geo.size.width - drawSize.width) / 2),
@@ -898,6 +970,9 @@ struct ScreenshotPane: View {
                     .frame(width: geo.size.width, height: geo.size.height)
             }
         }
+        .background(WindowScaleReader { scale in
+            windowScale = scale
+        })
     }
 
     /// The image card with annotations, selection and crop overlays, plus
diff --git a/build-app.sh b/build-app.sh
index 8499b0c..bd4b74e 100755
--- a/build-app.sh
+++ b/build-app.sh
@@ -108,9 +108,9 @@ cat > "$APP/Contents/Info.plist" <<'PLIST'
     <key>CFBundleIconFile</key>
     <string>Icon</string>
     <key>CFBundleShortVersionString</key>
-    <string>1.11.1</string>
+    <string>1.11.2</string>
     <key>CFBundleVersion</key>
-    <string>111</string>
+    <string>112</string>
     <key>LSUIElement</key>
     <true/>
     <key>NSHighResolutionCapable</key>