Update app.py

app.py

@@ -1,5 +1,5 @@
 # ============================================================
-# RFT-Ω FRAMEWORK — TOTAL-PROOF API (Gradio Stable Build)
+# RFT-Ω FRAMEWORK — TOTAL-PROOF KERNEL (Gradio Stable Build)
 # Author: Liam Grinstead | RFT Systems | All Rights Reserved
 # ============================================================
 
@@ -76,8 +76,27 @@ def run(profile, dist, sigma, seed, samples):
 # ------------------ Gradio Interface ------------------------
 with gr.Blocks(title="RFT-Ω Total-Proof Kernel") as demo:
     gr.Markdown(
-        f"### RFT-Ω Total-Proof Kernel ({RFT_VERSION}) \n"
-        f"DOI: [{RFT_DOI}]({RFT_DOI}) \n{LEGAL_NOTICE}"
+        f"### 🧠 RFT-Ω Total-Proof Kernel ({RFT_VERSION}) \n"
+        f"DOI: [{RFT_DOI}]({RFT_DOI})  \n"
+        f"{LEGAL_NOTICE}"
+    )
+
+    # ---- New Instruction Panel ----
+    gr.Markdown(
+        """
+        🧩 **How to Use:**  
+        1️⃣ Select a **System Profile** (AI / Neural, SpaceX / Aerospace, Energy / RHES, Extreme Perturbation).  
+        2️⃣ Choose a **Noise Distribution** (gauss or uniform).  
+        3️⃣ Adjust **Noise Scale (σ)** to simulate increasing perturbations.  
+        4️⃣ Press **Run Simulation** — results display mean QΩ (stability) and ζ_sync (coherence) over several sample runs.  
+        
+        ⚙️ **Interpretation:**  
+        - `Nominal` → Stable harmonic equilibrium  
+        - `Perturbed` → Transitional / adaptive state  
+        - `Critical` → Instability threshold reached  
+        
+        🔬 Each run demonstrates Rendered Frame Theory’s capacity for self-stabilisation under synthetic noise.  
+        """
     )
 
     with gr.Row():
@@ -98,5 +117,4 @@ with gr.Blocks(title="RFT-Ω Total-Proof Kernel") as demo:
 
 # ------------------ Launch -------------------------------
 if __name__ == "__main__":
-    # Disable SSR for Hugging Face Spaces compatibility
     demo.launch(server_name="0.0.0.0", share=False, ssr_mode=False)