diff --git a/apps/api/src/services/telegram_gateway.py b/apps/api/src/services/telegram_gateway.py
index 6bb2ad8b..17e3fcd2 100644
--- a/apps/api/src/services/telegram_gateway.py
+++ b/apps/api/src/services/telegram_gateway.py
@@ -6211,6 +6211,55 @@ class TelegramGateway:
                 return True
 
             report = await HeartbeatReportService().collect()
+
+            # 2026-05-03 Claude Opus 4.7 + 統帥 ogt：P0 #4 heartbeat 噪音降頻
+            # 鐵證：原本 30min/次 = 一天 48 條，統帥每天看相同內容 = 變相重複告警
+            # 修法（不違反「監控工具必須被監控」鐵律）：
+            #   健康（無 warnings）→ 6h 內最多 1 次「我活著」訊號
+            #   有 warnings 跟上次相同 → 跳過（hash 對比）
+            #   有 warnings 跟上次不同 → 立即推送（新狀況不漏）
+            import hashlib
+            SILENT_REPORT_INTERVAL_HOURS = 6
+            WARNINGS_HASH_TTL = 24 * 3600
+            silent_key = "heartbeat:silent_last_sent"
+            warnings_hash_key = "heartbeat:warnings_hash"
+
+            warnings_str = "|".join(sorted(report.warnings))
+            warnings_hash = hashlib.md5(warnings_str.encode()).hexdigest()[:12]
+
+            if not report.warnings:
+                # 健康狀態：6h 1 次「我活著」訊號
+                if await redis_client.exists(silent_key):
+                    logger.debug(
+                        "telegram_heartbeat_skipped_silent_recent",
+                        slot_id=slot_id,
+                    )
+                    return True
+                await redis_client.setex(
+                    silent_key, SILENT_REPORT_INTERVAL_HOURS * 3600, "1",
+                )
+                # 清掉舊的 warnings hash（從有事 → 健康，下次有事要立即推）
+                await redis_client.delete(warnings_hash_key)
+            else:
+                # 有事：跟上次同 hash 跳過
+                last_hash_raw = await redis_client.get(warnings_hash_key)
+                last_hash = (
+                    last_hash_raw.decode() if isinstance(last_hash_raw, bytes)
+                    else last_hash_raw
+                )
+                if last_hash == warnings_hash:
+                    logger.debug(
+                        "telegram_heartbeat_skipped_warnings_unchanged",
+                        slot_id=slot_id,
+                        warnings_hash=warnings_hash,
+                    )
+                    return True
+                await redis_client.setex(
+                    warnings_hash_key, WARNINGS_HASH_TTL, warnings_hash,
+                )
+                # 清掉 silent marker（從健康 → 有事，下次健康要過 6h 才再推）
+                await redis_client.delete(silent_key)
+
             text = report_to_telegram_html(report)
 
             # 只發到 SRE 戰情室群組
@@ -6228,6 +6277,7 @@ class TelegramGateway:
             logger.info(
                 "telegram_heartbeat_sent",
                 warnings=len(report.warnings),
+                warnings_hash=warnings_hash,
                 has_sre_group=bool(settings.SRE_GROUP_CHAT_ID),
             )
 
diff --git a/apps/api/tests/test_heartbeat_dedup_p0_4.py b/apps/api/tests/test_heartbeat_dedup_p0_4.py
new file mode 100644
index 00000000..ceee594a
--- /dev/null
+++ b/apps/api/tests/test_heartbeat_dedup_p0_4.py
@@ -0,0 +1,196 @@
+"""
+P0 #4 heartbeat 噪音降頻測試
+2026-05-03 Claude Opus 4.7 + 統帥 ogt
+
+驗證 send_heartbeat() 的 dedup 邏輯：
+  健康（無 warnings）→ 6h 內最多 1 次
+  有 warnings 且跟上次同 hash → 跳過
+  有 warnings 且跟上次不同 → 立即推送
+  健康 ↔ 有事 切換時清掉相反 marker
+
+直接測 telegram_gateway.send_heartbeat()，mock 掉 redis + report + send_to_group。
+"""
+from unittest.mock import AsyncMock, MagicMock, patch
+
+import pytest
+
+
+class FakeRedis:
+    """模擬 Redis 行為，記錄 set/get/delete 呼叫"""
+    def __init__(self):
+        self._store: dict[str, str] = {}
+        self.set_calls: list[tuple] = []
+        self.delete_calls: list[str] = []
+
+    async def set(self, key: str, value: str, nx: bool = False, ex: int | None = None):
+        if nx and key in self._store:
+            return False
+        self._store[key] = value
+        self.set_calls.append((key, value, nx, ex))
+        return True
+
+    async def setex(self, key: str, ttl: int, value: str):
+        self._store[key] = value
+        self.set_calls.append((key, value, False, ttl))
+        return True
+
+    async def get(self, key: str):
+        return self._store.get(key)
+
+    async def exists(self, key: str):
+        return key in self._store
+
+    async def delete(self, *keys):
+        for k in keys:
+            self._store.pop(k, None)
+            self.delete_calls.append(k)
+        return len(keys)
+
+    def preset(self, key: str, value: str = "1"):
+        """測試前預設 key"""
+        self._store[key] = value
+
+
+def _make_report(warnings: list[str] | None = None):
+    """構造 fake HeartbeatReport"""
+    from datetime import datetime, timezone
+    from src.services.heartbeat_report_service import HeartbeatReport
+    return HeartbeatReport(
+        timestamp=datetime.now(timezone.utc),
+        warnings=warnings or [],
+    )
+
+
+@pytest.fixture
+def gateway_with_fake_redis():
+    """構造 telegram gateway 實例 + 注入 fake redis"""
+    from src.services.telegram_gateway import TelegramGateway
+    gw = TelegramGateway.__new__(TelegramGateway)  # 跳過 __init__
+    gw._initialized = True
+    gw._last_message_time = None
+    gw.send_to_group = AsyncMock()
+    gw.send_notification = AsyncMock()
+
+    fake_redis = FakeRedis()
+    return gw, fake_redis
+
+
+class TestHeartbeatDedup:
+    """P0 #4 heartbeat 降頻邏輯"""
+
+    @pytest.mark.asyncio
+    async def test_healthy_first_send_goes_through(self, gateway_with_fake_redis):
+        """健康狀態第一次推送（無 silent marker）→ 推送"""
+        gw, fake_redis = gateway_with_fake_redis
+
+        with patch("src.core.redis_client.get_redis", return_value=fake_redis), \
+             patch("src.services.heartbeat_report_service.HeartbeatReportService") as MockSvc, \
+             patch("src.services.heartbeat_report_service.report_to_telegram_html",
+                   return_value="<b>healthy</b>"):
+            MockSvc.return_value.collect = AsyncMock(return_value=_make_report([]))
+
+            result = await gw.send_heartbeat()
+
+            assert result is True
+            assert "heartbeat:silent_last_sent" in fake_redis._store
+            # 應該有呼叫 send_to_group 或 send_notification（其一）
+            assert gw.send_to_group.called or gw.send_notification.called
+
+    @pytest.mark.asyncio
+    async def test_healthy_second_send_within_6h_skipped(self, gateway_with_fake_redis):
+        """健康狀態 6h 內第二次推送 → 跳過"""
+        gw, fake_redis = gateway_with_fake_redis
+        fake_redis.preset("heartbeat:silent_last_sent")  # 模擬已有 silent marker
+
+        with patch("src.core.redis_client.get_redis", return_value=fake_redis), \
+             patch("src.services.heartbeat_report_service.HeartbeatReportService") as MockSvc, \
+             patch("src.services.heartbeat_report_service.report_to_telegram_html",
+                   return_value="<b>healthy</b>"):
+            MockSvc.return_value.collect = AsyncMock(return_value=_make_report([]))
+
+            result = await gw.send_heartbeat()
+
+            assert result is True
+            # 不該呼叫 send（被跳過）
+            gw.send_to_group.assert_not_called()
+            gw.send_notification.assert_not_called()
+
+    @pytest.mark.asyncio
+    async def test_warnings_unchanged_skipped(self, gateway_with_fake_redis):
+        """有 warnings 跟上次同 hash → 跳過"""
+        gw, fake_redis = gateway_with_fake_redis
+        warnings = ["Pod api-x Failed", "Redis: down"]
+        # 預設上次 hash
+        import hashlib
+        warnings_str = "|".join(sorted(warnings))
+        last_hash = hashlib.md5(warnings_str.encode()).hexdigest()[:12]
+        fake_redis.preset("heartbeat:warnings_hash", last_hash)
+
+        with patch("src.core.redis_client.get_redis", return_value=fake_redis), \
+             patch("src.services.heartbeat_report_service.HeartbeatReportService") as MockSvc, \
+             patch("src.services.heartbeat_report_service.report_to_telegram_html",
+                   return_value="<b>warnings</b>"):
+            MockSvc.return_value.collect = AsyncMock(return_value=_make_report(warnings))
+
+            result = await gw.send_heartbeat()
+
+            assert result is True
+            gw.send_to_group.assert_not_called()
+            gw.send_notification.assert_not_called()
+
+    @pytest.mark.asyncio
+    async def test_warnings_changed_pushes(self, gateway_with_fake_redis):
+        """有 warnings 但跟上次不同 → 立即推送"""
+        gw, fake_redis = gateway_with_fake_redis
+        # 預設舊的 hash（跟新 warnings 不同）
+        fake_redis.preset("heartbeat:warnings_hash", "old1234567890")
+
+        with patch("src.core.redis_client.get_redis", return_value=fake_redis), \
+             patch("src.services.heartbeat_report_service.HeartbeatReportService") as MockSvc, \
+             patch("src.services.heartbeat_report_service.report_to_telegram_html",
+                   return_value="<b>new warnings</b>"):
+            MockSvc.return_value.collect = AsyncMock(
+                return_value=_make_report(["Pod api-y Failed"])  # 新 warnings
+            )
+
+            result = await gw.send_heartbeat()
+
+            assert result is True
+            # 應該推送
+            assert gw.send_to_group.called or gw.send_notification.called
+
+    @pytest.mark.asyncio
+    async def test_warnings_to_healthy_clears_warnings_hash(self, gateway_with_fake_redis):
+        """從有事 → 健康：清掉 warnings_hash marker，下次有事可立即推"""
+        gw, fake_redis = gateway_with_fake_redis
+        fake_redis.preset("heartbeat:warnings_hash", "old1234567890")
+
+        with patch("src.core.redis_client.get_redis", return_value=fake_redis), \
+             patch("src.services.heartbeat_report_service.HeartbeatReportService") as MockSvc, \
+             patch("src.services.heartbeat_report_service.report_to_telegram_html",
+                   return_value="<b>healthy</b>"):
+            MockSvc.return_value.collect = AsyncMock(return_value=_make_report([]))
+
+            await gw.send_heartbeat()
+
+            assert "heartbeat:warnings_hash" in fake_redis.delete_calls
+            assert "heartbeat:silent_last_sent" in fake_redis._store
+
+    @pytest.mark.asyncio
+    async def test_healthy_to_warnings_clears_silent_marker(self, gateway_with_fake_redis):
+        """從健康 → 有事：清掉 silent marker，下次靜默過 6h 才再推"""
+        gw, fake_redis = gateway_with_fake_redis
+        fake_redis.preset("heartbeat:silent_last_sent")
+
+        with patch("src.core.redis_client.get_redis", return_value=fake_redis), \
+             patch("src.services.heartbeat_report_service.HeartbeatReportService") as MockSvc, \
+             patch("src.services.heartbeat_report_service.report_to_telegram_html",
+                   return_value="<b>warning</b>"):
+            MockSvc.return_value.collect = AsyncMock(
+                return_value=_make_report(["Pod api-z Failed"])
+            )
+
+            await gw.send_heartbeat()
+
+            assert "heartbeat:silent_last_sent" in fake_redis.delete_calls
+            assert "heartbeat:warnings_hash" in fake_redis._store