diff --git a/Assets/GameScripts/HotFix/BattleCore/BattleCore.Runtime.asmdef b/Assets/GameScripts/HotFix/BattleCore/BattleCore.Runtime.asmdef
index b50305bd..bbd7f47c 100644
--- a/Assets/GameScripts/HotFix/BattleCore/BattleCore.Runtime.asmdef
+++ b/Assets/GameScripts/HotFix/BattleCore/BattleCore.Runtime.asmdef
@@ -2,7 +2,8 @@
     "name": "BattleCore.Runtime",
     "rootNamespace": "BattleCore.Runtime",
     "references": [
-        "GUID:aa06d4cc755c979489c256c1bcca1dfb"
+        "GUID:aa06d4cc755c979489c256c1bcca1dfb",
+        "GUID:d8b63aba1907145bea998dd612889d6b"
     ],
     "includePlatforms": [],
     "excludePlatforms": [],
diff --git a/Assets/GameScripts/HotFix/BattleCore/ECSExtension.meta b/Assets/GameScripts/HotFix/BattleCore/ECSExtension.meta
new file mode 100644
index 00000000..bc0e1a56
--- /dev/null
+++ b/Assets/GameScripts/HotFix/BattleCore/ECSExtension.meta
@@ -0,0 +1,3 @@
+fileFormatVersion: 2
+guid: 890abd3a957e406ab422fc468ba6c169
+timeCreated: 1682353243
\ No newline at end of file
diff --git a/Assets/GameScripts/HotFix/BattleCore/ECSExtension/EntityExtension.cs b/Assets/GameScripts/HotFix/BattleCore/ECSExtension/EntityExtension.cs
new file mode 100644
index 00000000..582c0d86
--- /dev/null
+++ b/Assets/GameScripts/HotFix/BattleCore/ECSExtension/EntityExtension.cs
@@ -0,0 +1,6 @@
+namespace BattleCore.Runtime
+{
+    public static class EntityExtension
+    {
+    }
+}
\ No newline at end of file
diff --git a/Assets/GameScripts/HotFix/BattleCore/ECSExtension/EntityExtension.cs.meta b/Assets/GameScripts/HotFix/BattleCore/ECSExtension/EntityExtension.cs.meta
new file mode 100644
index 00000000..7f82c3e7
--- /dev/null
+++ b/Assets/GameScripts/HotFix/BattleCore/ECSExtension/EntityExtension.cs.meta
@@ -0,0 +1,11 @@
+fileFormatVersion: 2
+guid: b4ef2dfa5ceac99458eb1745131a9c83
+MonoImporter:
+  externalObjects: {}
+  serializedVersion: 2
+  defaultReferences: []
+  executionOrder: 0
+  icon: {instanceID: 0}
+  userData: 
+  assetBundleName: 
+  assetBundleVariant: 
diff --git a/Assets/GameScripts/HotFix/BattleCore/ECSExtension/MathematicsExtension.cs b/Assets/GameScripts/HotFix/BattleCore/ECSExtension/MathematicsExtension.cs
new file mode 100644
index 00000000..2d9ce577
--- /dev/null
+++ b/Assets/GameScripts/HotFix/BattleCore/ECSExtension/MathematicsExtension.cs
@@ -0,0 +1,27 @@
+using UnityEngine;
+using Unity.Mathematics;
+
+namespace BattleCore.Runtime
+{
+    public static class MathematicsExt
+    {
+        public static int2 ToInt2(this Vector2Int vec) => new int2(vec.x, vec.y);
+        public static int3 ToInt3(this Vector3Int vec) => new int3(vec.x, vec.y, vec.z);
+        public static float2 ToFloat2(this Vector2 vec) => new float2(vec.x, vec.y);
+        public static float3 ToFloat3(this Vector3 vec) => new float3(vec.x, vec.y, vec.z);
+
+        public static bool IsEquals(this int2 a, int2 b) => math.all(a == b);
+        public static bool IsEquals(this int3 a, int3 b) => math.all(a == b);
+
+
+        public static Vector2Int ToVec2(this int2 vec) => new Vector2Int(vec.x, vec.y);
+        public static Vector3Int ToVec3(this int2 vec) => new Vector3Int(vec.x, vec.y, 0);
+        public static Vector3Int ToVec3(this int3 vec) => new Vector3Int(vec.x, vec.y, vec.z);
+        public static Vector2 ToVec2(this float2 vec) => new Vector2(vec.x, vec.y);
+        public static Vector3 ToVec3(this float3 vec) => new Vector3(vec.x, vec.y, vec.z);
+        public static int ManhattanDist(this int2 vec) => vec.x + vec.y;
+        public static int ManhattanDist(this int3 vec) => vec.x + vec.y + vec.z;
+        public static float ManhattanDist(this float2 vec) => vec.x + vec.y;
+        public static float ManhattanDist(this float3 vec) => vec.x + vec.y + vec.z;
+    }
+}
\ No newline at end of file
diff --git a/Assets/GameScripts/HotFix/BattleCore/ECSExtension/MathematicsExtension.cs.meta b/Assets/GameScripts/HotFix/BattleCore/ECSExtension/MathematicsExtension.cs.meta
new file mode 100644
index 00000000..727a2123
--- /dev/null
+++ b/Assets/GameScripts/HotFix/BattleCore/ECSExtension/MathematicsExtension.cs.meta
@@ -0,0 +1,3 @@
+fileFormatVersion: 2
+guid: 2b0e288b918a41698571ec3d36059851
+timeCreated: 1682353251
\ No newline at end of file