fix(core): IntervalSystem时间累加bug修复 & 添加Core.paused文档

- 修复 onCheckProcessing() 在 update/lateUpdate 被调用两次导致时间累加翻倍的问题
- 添加 Core.paused 游戏暂停文档（中/英文）
- 新增 IntervalSystem 相关测试用例

docs/en/guide/time-and-timers.md

@@ -0,0 +1,402 @@
+# Time and Timer System
+
+The ECS framework provides a complete time management and timer system, including time scaling, frame time calculation, and flexible timer scheduling.
+
+## Time Class
+
+The Time class is the core of the framework's time management, providing all game time-related functionality.
+
+### Basic Time Properties
+
+```typescript
+import { Time } from '@esengine/ecs-framework';
+
+class GameSystem extends EntitySystem {
+  protected process(entities: readonly Entity[]): void {
+    // Get frame time (seconds)
+    const deltaTime = Time.deltaTime;
+
+    // Get unscaled frame time
+    const unscaledDelta = Time.unscaledDeltaTime;
+
+    // Get total game time
+    const totalTime = Time.totalTime;
+
+    // Get current frame count
+    const frameCount = Time.frameCount;
+
+    console.log(`Frame ${frameCount}, delta: ${deltaTime}s, total: ${totalTime}s`);
+  }
+}
+```
+
+### Game Pause
+
+The framework provides two pause methods for different scenarios:
+
+#### Core.paused (Recommended)
+
+`Core.paused` is a **true pause** - when set, the entire game loop stops:
+
+```typescript
+import { Core } from '@esengine/ecs-framework';
+
+class PauseMenuSystem extends EntitySystem {
+  public pauseGame(): void {
+    // True pause - all systems stop executing
+    Core.paused = true;
+    console.log('Game paused');
+  }
+
+  public resumeGame(): void {
+    // Resume game
+    Core.paused = false;
+    console.log('Game resumed');
+  }
+
+  public togglePause(): void {
+    Core.paused = !Core.paused;
+    console.log(Core.paused ? 'Game paused' : 'Game resumed');
+  }
+}
+```
+
+#### Time.timeScale = 0
+
+`Time.timeScale = 0` only makes `deltaTime` become 0, **systems still execute**:
+
+```typescript
+class SlowMotionSystem extends EntitySystem {
+  public freezeTime(): void {
+    // Time freeze - systems still execute, just deltaTime = 0
+    Time.timeScale = 0;
+  }
+}
+```
+
+#### Comparison
+
+| Feature | `Core.paused = true` | `Time.timeScale = 0` |
+|---------|---------------------|---------------------|
+| System Execution | Completely stopped | Still running |
+| CPU Overhead | Zero | Normal overhead |
+| Time Updates | Stopped | Continues (deltaTime=0) |
+| Timers | Stopped | Continues (but time doesn't advance) |
+| Use Cases | Pause menu, game pause | Slow motion, bullet time effects |
+
+**Recommendations**:
+- Pause menu, true game pause → Use `Core.paused = true`
+- Slow motion, bullet time effects → Use `Time.timeScale`
+
+### Time Scaling
+
+The Time class supports time scaling for slow motion, fast forward, and other effects:
+
+```typescript
+class TimeControlSystem extends EntitySystem {
+  public enableSlowMotion(): void {
+    // Set to slow motion (50% speed)
+    Time.timeScale = 0.5;
+    console.log('Slow motion enabled');
+  }
+
+  public enableFastForward(): void {
+    // Set to fast forward (200% speed)
+    Time.timeScale = 2.0;
+    console.log('Fast forward enabled');
+  }
+
+  public enableBulletTime(): void {
+    // Bullet time effect (10% speed)
+    Time.timeScale = 0.1;
+    console.log('Bullet time enabled');
+  }
+
+  public resumeNormalSpeed(): void {
+    // Resume normal speed
+    Time.timeScale = 1.0;
+    console.log('Normal speed resumed');
+  }
+
+  protected process(entities: readonly Entity[]): void {
+    // deltaTime is affected by timeScale
+    const scaledDelta = Time.deltaTime; // Affected by time scale
+    const realDelta = Time.unscaledDeltaTime; // Not affected by time scale
+
+    for (const entity of entities) {
+      const movement = entity.getComponent(Movement);
+      if (movement) {
+        // Use scaled time for game logic updates
+        movement.update(scaledDelta);
+      }
+
+      const ui = entity.getComponent(UIComponent);
+      if (ui) {
+        // UI animations use real time, not affected by game time scale
+        ui.update(realDelta);
+      }
+    }
+  }
+}
+```
+
+### Time Check Utilities
+
+```typescript
+class CooldownSystem extends EntitySystem {
+  private lastAttackTime = 0;
+  private lastSpawnTime = 0;
+
+  constructor() {
+    super(Matcher.all(Weapon));
+  }
+
+  protected process(entities: readonly Entity[]): void {
+    // Check attack cooldown
+    if (Time.checkEvery(1.5, this.lastAttackTime)) {
+      this.performAttack();
+      this.lastAttackTime = Time.totalTime;
+    }
+
+    // Check spawn interval
+    if (Time.checkEvery(3.0, this.lastSpawnTime)) {
+      this.spawnEnemy();
+      this.lastSpawnTime = Time.totalTime;
+    }
+  }
+
+  private performAttack(): void {
+    console.log('Performing attack!');
+  }
+
+  private spawnEnemy(): void {
+    console.log('Spawning enemy!');
+  }
+}
+```
+
+## Core.schedule Timer System
+
+Core provides powerful timer scheduling functionality for creating one-time or repeating timers.
+
+### Basic Timer Usage
+
+```typescript
+import { Core } from '@esengine/ecs-framework';
+
+class GameScene extends Scene {
+  protected initialize(): void {
+    // Create one-time timers
+    this.createOneTimeTimers();
+
+    // Create repeating timers
+    this.createRepeatingTimers();
+
+    // Create timers with context
+    this.createContextTimers();
+  }
+
+  private createOneTimeTimers(): void {
+    // Execute once after 2 seconds
+    Core.schedule(2.0, false, null, (timer) => {
+      console.log('Executed after 2 second delay');
+    });
+
+    // Show tip after 5 seconds
+    Core.schedule(5.0, false, this, (timer) => {
+      const scene = timer.getContext<GameScene>();
+      scene.showTip('Game tip: 5 seconds have passed!');
+    });
+  }
+
+  private createRepeatingTimers(): void {
+    // Execute every second
+    const heartbeatTimer = Core.schedule(1.0, true, null, (timer) => {
+      console.log(`Game heartbeat - Total time: ${Time.totalTime.toFixed(1)}s`);
+    });
+
+    // Save timer reference for later control
+    this.saveTimerReference(heartbeatTimer);
+  }
+
+  private createContextTimers(): void {
+    const gameData = { score: 0, level: 1 };
+
+    // Add score every 2 seconds
+    Core.schedule(2.0, true, gameData, (timer) => {
+      const data = timer.getContext<typeof gameData>();
+      data.score += 10;
+      console.log(`Score increased! Current score: ${data.score}`);
+    });
+  }
+
+  private saveTimerReference(timer: any): void {
+    // Can stop timer later
+    setTimeout(() => {
+      timer.stop();
+      console.log('Timer stopped');
+    }, 10000); // Stop after 10 seconds
+  }
+
+  private showTip(message: string): void {
+    console.log('Tip:', message);
+  }
+}
+```
+
+### Timer Control
+
+```typescript
+class TimerControlExample {
+  private attackTimer: any;
+  private spawnerTimer: any;
+
+  public startCombat(): void {
+    // Start attack timer
+    this.attackTimer = Core.schedule(0.5, true, this, (timer) => {
+      const self = timer.getContext<TimerControlExample>();
+      self.performAttack();
+    });
+
+    // Start enemy spawn timer
+    this.spawnerTimer = Core.schedule(3.0, true, null, (timer) => {
+      this.spawnEnemy();
+    });
+  }
+
+  public stopCombat(): void {
+    // Stop all combat-related timers
+    if (this.attackTimer) {
+      this.attackTimer.stop();
+      console.log('Attack timer stopped');
+    }
+
+    if (this.spawnerTimer) {
+      this.spawnerTimer.stop();
+      console.log('Spawn timer stopped');
+    }
+  }
+
+  public resetAttackTimer(): void {
+    // Reset attack timer
+    if (this.attackTimer) {
+      this.attackTimer.reset();
+      console.log('Attack timer reset');
+    }
+  }
+
+  private performAttack(): void {
+    console.log('Performing attack');
+  }
+
+  private spawnEnemy(): void {
+    console.log('Spawning enemy');
+  }
+}
+```
+
+## Best Practices
+
+### 1. Use Appropriate Time Types
+
+```typescript
+class MovementSystem extends EntitySystem {
+  protected process(entities: readonly Entity[]): void {
+    for (const entity of entities) {
+      const movement = entity.getComponent(Movement);
+
+      // Use scaled time for game logic
+      movement.position.x += movement.velocity.x * Time.deltaTime;
+
+      // Use real time for UI animations (not affected by game pause)
+      const ui = entity.getComponent(UIAnimation);
+      if (ui) {
+        ui.update(Time.unscaledDeltaTime);
+      }
+    }
+  }
+}
+```
+
+### 2. Timer Management
+
+```typescript
+class TimerManager {
+  private timers: any[] = [];
+
+  public createManagedTimer(duration: number, repeats: boolean, callback: () => void): any {
+    const timer = Core.schedule(duration, repeats, null, callback);
+    this.timers.push(timer);
+    return timer;
+  }
+
+  public stopAllTimers(): void {
+    for (const timer of this.timers) {
+      timer.stop();
+    }
+    this.timers = [];
+  }
+
+  public cleanupCompletedTimers(): void {
+    this.timers = this.timers.filter(timer => !timer.isDone);
+  }
+}
+```
+
+### 3. Avoid Too Many Timers
+
+```typescript
+// Avoid: Creating a timer for each entity
+class BadExample extends EntitySystem {
+  protected onAdded(entity: Entity): void {
+    Core.schedule(1.0, true, entity, (timer) => {
+      // One timer per entity - poor performance
+    });
+  }
+}
+
+// Recommended: Manage time uniformly in the system
+class GoodExample extends EntitySystem {
+  private lastUpdateTime = 0;
+
+  protected process(entities: readonly Entity[]): void {
+    // Execute logic once per second
+    if (Time.checkEvery(1.0, this.lastUpdateTime)) {
+      this.processAllEntities(entities);
+      this.lastUpdateTime = Time.totalTime;
+    }
+  }
+
+  private processAllEntities(entities: readonly Entity[]): void {
+    // Batch process all entities
+  }
+}
+```
+
+### 4. Timer Context Usage
+
+```typescript
+interface TimerContext {
+  entityId: number;
+  duration: number;
+  onComplete: () => void;
+}
+
+class ContextualTimerExample {
+  public createEntityTimer(entityId: number, duration: number, onComplete: () => void): void {
+    const context: TimerContext = {
+      entityId,
+      duration,
+      onComplete
+    };
+
+    Core.schedule(duration, false, context, (timer) => {
+      const ctx = timer.getContext<TimerContext>();
+      console.log(`Timer for entity ${ctx.entityId} completed`);
+      ctx.onComplete();
+    });
+  }
+}
+```
+
+The time and timer system is an essential tool in game development. Using these features correctly will make your game logic more precise and controllable.

docs/guide/time-and-timers.md

@@ -30,6 +30,64 @@ class GameSystem extends EntitySystem {
 }
 ```
 
+### 游戏暂停
+
+框架提供两种暂停方式，适用于不同场景：
+
+#### Core.paused（推荐）
+
+`Core.paused` 是**真正的暂停**，设置后整个游戏循环停止：
+
+```typescript
+import { Core } from '@esengine/ecs-framework';
+
+class PauseMenuSystem extends EntitySystem {
+  public pauseGame(): void {
+    // 真正暂停 - 所有系统停止执行
+    Core.paused = true;
+    console.log('游戏已暂停');
+  }
+
+  public resumeGame(): void {
+    // 恢复游戏
+    Core.paused = false;
+    console.log('游戏已恢复');
+  }
+
+  public togglePause(): void {
+    Core.paused = !Core.paused;
+    console.log(Core.paused ? '游戏已暂停' : '游戏已恢复');
+  }
+}
+```
+
+#### Time.timeScale = 0
+
+`Time.timeScale = 0` 只是让 `deltaTime` 变为 0，**系统仍然在执行**：
+
+```typescript
+class SlowMotionSystem extends EntitySystem {
+  public freezeTime(): void {
+    // 时间冻结 - 系统仍在执行，只是 deltaTime = 0
+    Time.timeScale = 0;
+  }
+}
+```
+
+#### 两种方式对比
+
+| 特性 | `Core.paused = true` | `Time.timeScale = 0` |
+|------|---------------------|---------------------|
+| 系统执行 | ❌ 完全停止 | ✅ 仍在执行 |
+| CPU 开销 | 零 | 正常开销 |
+| Time 更新 | ❌ 停止 | ✅ 继续（deltaTime=0） |
+| 定时器 | ❌ 停止 | ✅ 继续（但时间不走） |
+| 适用场景 | 暂停菜单、游戏暂停 | 慢动作、时间冻结特效 |
+
+**推荐**：
+- 暂停菜单、真正的游戏暂停 → 使用 `Core.paused = true`
+- 慢动作、子弹时间等特效 → 使用 `Time.timeScale`
+
 ### 时间缩放
 
 Time 类支持时间缩放功能，可以实现慢动作、快进等效果：
@@ -48,10 +106,10 @@ class TimeControlSystem extends EntitySystem {
     console.log('快进模式启用');
   }
 
-  public pauseGame(): void {
+  public enableBulletTime(): void {
-    // 暂停游戏（时间静止）
+    // 子弹时间效果（10%速度）
-    Time.timeScale = 0;
+    Time.timeScale = 0.1;
-    console.log('游戏暂停');
+    console.log('子弹时间启用');
   }
 
   public resumeNormalSpeed(): void {

packages/core/src/ECS/Systems/EntitySystem.ts

@@ -135,6 +135,19 @@ export abstract class EntitySystem implements ISystemBase, IService {
      */
     private _lastProcessEpoch: number = 0;
 
+    /**
+     * 当前帧是否应该处理
+     * Whether this frame should be processed
+     *
+     * 由 update() 中的 onCheckProcessing() 决定，lateUpdate() 复用此结果。
+     * 避免 onCheckProcessing() 被多次调用导致副作用重复执行（如 IntervalSystem 的时间累加）。
+     *
+     * Determined by onCheckProcessing() in update(), reused by lateUpdate().
+     * Prevents onCheckProcessing() being called multiple times causing side effects
+     * to execute repeatedly (e.g., IntervalSystem's time accumulation).
+     */
+    private _shouldProcessThisFrame: boolean = false;
+
     /**
      * 获取系统处理的实体列表
      */
@@ -774,7 +787,11 @@ export abstract class EntitySystem implements ISystemBase, IService {
      * 更新系统
      */
     public update(): void {
-        if (!this._enabled || !this.onCheckProcessing()) {
+        // 检查是否应该处理，并缓存结果供 lateUpdate 使用
+        // Check if should process and cache result for lateUpdate
+        this._shouldProcessThisFrame = this._enabled && this.onCheckProcessing();
+
+        if (!this._shouldProcessThisFrame) {
             return;
         }
 
@@ -799,9 +816,17 @@ export abstract class EntitySystem implements ISystemBase, IService {
 
     /**
      * 后期更新系统
+     *
+     * lateUpdate 复用 update 中 onCheckProcessing() 的结果，
+     * 避免 IntervalSystem 等子类的副作用被重复执行。
+     *
+     * lateUpdate reuses the onCheckProcessing() result from update,
+     * preventing side effects in subclasses like IntervalSystem from executing repeatedly.
      */
     public lateUpdate(): void {
-        if (!this._enabled || !this.onCheckProcessing()) {
+        // 复用 update() 中的检查结果，不再调用 onCheckProcessing()
+        // Reuse check result from update(), don't call onCheckProcessing() again
+        if (!this._shouldProcessThisFrame) {
             return;
         }
 

packages/core/tests/ECS/Systems/SystemTypes.test.ts

@@ -60,6 +60,32 @@ class ConcreteIntervalSystem extends IntervalSystem {
     }
 }
 
+// 用于独立测试的间隔系统（避免 Scene 的类型去重）
+class IndependentIntervalSystem extends IntervalSystem {
+    public processCallCount = 0;
+
+    constructor(interval: number) {
+        super(interval, Matcher.all(TestComponent));
+    }
+
+    protected override process(entities: Entity[]): void {
+        this.processCallCount++;
+    }
+}
+
+// 用于长时间运行测试的间隔系统
+class LongRunIntervalSystem extends IntervalSystem {
+    public processCallCount = 0;
+
+    constructor(interval: number) {
+        super(interval, Matcher.all(TestComponent));
+    }
+
+    protected override process(entities: Entity[]): void {
+        this.processCallCount++;
+    }
+}
+
 // 具体的处理系统实现
 class ConcreteProcessingSystem extends ProcessingSystem {
     public processSystemCallCount = 0;
@@ -217,6 +243,98 @@ describe('System Types - 系统类型测试', () => {
             intervalSystem.update();
             expect(intervalSystem.processCallCount).toBe(2);
         });
+
+        test('update和lateUpdate同时调用时，onCheckProcessing只应执行一次副作用', () => {
+            // 这个测试验证修复：onCheckProcessing() 的副作用（时间累加）不应该在 lateUpdate 中重复执行
+            // 模拟一帧内的完整调用流程
+
+            const initialProcessCount = intervalSystem.processCallCount;
+
+            // 第一帧：时间不足，不应触发
+            Time.update(testInterval / 2);
+            intervalSystem.update();
+            intervalSystem.lateUpdate();
+            expect(intervalSystem.processCallCount).toBe(initialProcessCount);
+
+            // 第二帧：累计时间刚好达到间隔，应该触发一次
+            Time.update(testInterval / 2);
+            intervalSystem.update();
+            intervalSystem.lateUpdate();
+            expect(intervalSystem.processCallCount).toBe(initialProcessCount + 1);
+
+            // 第三帧：需要再等待完整间隔
+            Time.update(testInterval / 2);
+            intervalSystem.update();
+            intervalSystem.lateUpdate();
+            expect(intervalSystem.processCallCount).toBe(initialProcessCount + 1);
+
+            // 第四帧：再次达到间隔
+            Time.update(testInterval / 2);
+            intervalSystem.update();
+            intervalSystem.lateUpdate();
+            expect(intervalSystem.processCallCount).toBe(initialProcessCount + 2);
+        });
+
+        test('lateUpdate应复用update的检查结果，不重复累加时间', () => {
+            // 这是用户报告的 bug 场景：5秒间隔，但实际触发不规律
+            // 原因是 onCheckProcessing() 在 update 和 lateUpdate 中都被调用，导致时间累加了两次
+
+            // 核心验证：在 N*interval 时间内，触发次数应该接近 N 次
+            // 如果 bug 存在（时间累加两次），触发次数会接近 2N 次
+
+            const initialCount = intervalSystem.processCallCount;
+
+            // 模拟 50 帧，每帧 testInterval/5 (总共 10*testInterval)
+            for (let frame = 0; frame < 50; frame++) {
+                Time.update(testInterval / 5);
+                intervalSystem.update();
+                intervalSystem.lateUpdate();
+            }
+
+            // 50帧 * (testInterval/5) = 10*testInterval，应该触发约 10 次
+            // 如果 bug 存在（时间累加两次），会触发约 20 次
+            const triggers = intervalSystem.processCallCount - initialCount;
+
+            // 正常情况：触发 9-11 次
+            // Bug 情况：触发 18-22 次
+            expect(triggers).toBeGreaterThanOrEqual(9);
+            expect(triggers).toBeLessThanOrEqual(12);
+        });
+
+        test('精确间隔测试 - 验证触发间隔的一致性', () => {
+            // 验证触发间隔是稳定的，而不是忽大忽小
+
+            const initialCount = intervalSystem.processCallCount;
+            const frameTimes: number[] = [];
+            let framesSinceLastTrigger = 0;
+
+            // 模拟 100 帧，每帧 testInterval/5
+            for (let frame = 0; frame < 100; frame++) {
+                Time.update(testInterval / 5);
+                framesSinceLastTrigger++;
+
+                const beforeCount = intervalSystem.processCallCount;
+                intervalSystem.update();
+                intervalSystem.lateUpdate();
+
+                if (intervalSystem.processCallCount > beforeCount) {
+                    frameTimes.push(framesSinceLastTrigger);
+                    framesSinceLastTrigger = 0;
+                }
+            }
+
+            // 100帧 * (testInterval/5) = 20*testInterval，应该触发约 20 次
+            const totalTriggers = intervalSystem.processCallCount - initialCount;
+            expect(totalTriggers).toBeGreaterThanOrEqual(19);
+            expect(totalTriggers).toBeLessThanOrEqual(21);
+
+            // 验证每次触发的帧间隔都接近 5 帧（因为 5 * testInterval/5 = testInterval）
+            // 如果 bug 存在，帧间隔会不稳定（有的 2-3 帧，有的 7-8 帧）
+            for (const frames of frameTimes) {
+                expect(frames).toBeGreaterThanOrEqual(4);
+                expect(frames).toBeLessThanOrEqual(6);
+            }
+        });
     });
 
     describe('ProcessingSystem - 处理系统', () => {