diff --git a/crates/ml-alpha/src/trainer/perception.rs b/crates/ml-alpha/src/trainer/perception.rs
index 49c4e13fb..db791ca75 100644
--- a/crates/ml-alpha/src/trainer/perception.rs
+++ b/crates/ml-alpha/src/trainer/perception.rs
@@ -1975,6 +1975,38 @@ impl PerceptionTrainer {
             unsafe { launch.launch(bce_cfg).context("bce launch")?; }
         }
 
+        // ── 5c. CRT.train output-smoothness regularizer ──
+        //       λ[h]-weighted Σ (p[k]-p[k-1])² across adjacent positions
+        //       in each sequence. Accumulates the analytic gradient INTO
+        //       `self.grad_probs_per_k_d` (which BCE just overwrote);
+        //       the heads_bwd K-loop below consumes the sum.
+        //
+        //       Per `pearl_no_host_branches_in_captured_graph`: kernel
+        //       launch only — all scalars (k_i, b_i) and buffer pointers
+        //       are fixed across captures (seq_len and batch_size are
+        //       config-immutable). λ is uploaded once at construction;
+        //       when `cfg.smoothness_base_lambda == 0.0` the kernel
+        //       produces zero loss + zero grad, behaviorally identical
+        //       to the pre-intervention path.
+        let k_seq_i = k_seq as i32;
+        let b_sz_i = b_sz as i32;
+        let smooth_cfg = LaunchConfig {
+            grid_dim: (1, 1, 1),
+            block_dim: (256, 1, 1),
+            shared_mem_bytes: 0,
+        };
+        {
+            let mut launch = self.stream.launch_builder(&self.smoothness_fn);
+            launch
+                .arg(&self.probs_per_k_d)
+                .arg(&self.smoothness_lambda_d)
+                .arg(&k_seq_i).arg(&b_sz_i)
+                .arg(&mut self.smoothness_loss_d)
+                .arg(&mut self.smoothness_loss_per_horizon_d)
+                .arg(&mut self.grad_probs_per_k_d);
+            unsafe { launch.launch(smooth_cfg).context("output_smoothness launch")?; }
+        }
+
         // ── 5a. (v2 reserved) — per-horizon Q_h backward removed at V1.
         //         v2 backward path will live here in commit V10.
 
@@ -2523,6 +2555,27 @@ impl PerceptionTrainer {
                 self.loss_host_d.dev_ptr, src_ptr, 4, self.stream.cu_stream(),
             ).context("loss dtod → mapped-pinned")?;
         }
+        // CRT.train: shadow smoothness telemetry buffers to mapped-pinned
+        // host slots for zero-sync operator reads. Same stream, same
+        // capture region — adjacent to the loss_d shadow above.
+        unsafe {
+            let (smooth_loss_src_ptr, _g) = self.smoothness_loss_d.device_ptr(&self.stream);
+            cudarc::driver::result::memcpy_dtod_async(
+                self.smoothness_loss_host_d.dev_ptr,
+                smooth_loss_src_ptr,
+                std::mem::size_of::<f32>(),
+                self.stream.cu_stream(),
+            ).context("smoothness_loss_host_d shadow")?;
+        }
+        unsafe {
+            let (smooth_loss_ph_src_ptr, _g) = self.smoothness_loss_per_horizon_d.device_ptr(&self.stream);
+            cudarc::driver::result::memcpy_dtod_async(
+                self.smoothness_loss_per_horizon_host_d.dev_ptr,
+                smooth_loss_ph_src_ptr,
+                N_HORIZONS * std::mem::size_of::<f32>(),
+                self.stream.cu_stream(),
+            ).context("smoothness_loss_per_horizon_host_d shadow")?;
+        }
         Ok(())
     }