第一卷少年游 第九十七章试锋

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最简单的一句:“怕自己先把自己放进去了。”
    韩思遥没有马上回答。
    过了一会儿,她说:“那你明天做之前先想一下,你要是没有看到那五个名字,会怎么做。”
    江遥在黑暗里愣了愣。
    这句话并不深。
    却很有用。
    “好。”
    “还有。”
    “什么?”
    “你做完给我看。”
    江遥笑:“你不是不在五个人里吗?”
    “所以我更要看。”
    韩思遥翻了个身,把被子拉高,“我要知道你们偷偷吃什么。”
    这次两个人都笑得更轻松一点。上铺的简宁突然含糊说了一句“你们能不能明天再谈国家命运”,宿舍终于彻底安静下来。
    江遥睡着以前,只想了一次那道题。
    不是怎么解。
    是韩思遥刚刚那句话——如果没看见五个名字,她会怎么做。
    ---
    第二天没有专门为这道题安排时间。
    上午十人照常训练,下午实验,晚饭以后才是自由学习。江遥甚至故意没有一整天把它拿出来。不是摆姿态,而是她发现自己需要让“五个人”这个信息先褪色一点,否则每一次落笔都会忍不住想,这是不是老师在看国家队需要什么。
    晚饭后,她去食堂旁边的小卖部买了一瓶牛奶和两个橘子。回宿舍时,走廊里几个别省的队员正蹲在自动售货机旁边聊天,话题从最近训练一路扯到过年能不能回家。有人说今年可能连年夜饭都要在训练中心吃,另一个人马上骂教练没人性。江遥从旁边经过,忽然觉得这才是他们真正的年纪。全国前十也好、五个人也好,到了晚上仍然会想家,会算离春节还有几天,会为了售货机吞掉十块钱骂半天。
    她回到宿舍,把那张纸真正铺开。
    题目依旧短得过分。
    “在不预设具体机制的情况下,哪些观测足以区分许多个体独立变化,与系统作为整体产生新的行为?”
    第一次看时,她被“整体”“新的行为”几个词吸住,脑子里自然冒出了过去几周学过的局部相互作用、同步、失稳、路径依赖。今晚她先把这些全部放到一边。
    如果没有看见五个名字,她会怎么做?
    她拿出一张空白纸,没有列模型,只在最上面写了一句最普通的话:
    **如果每个人都只是自己变,和大家一起变,有什么最简单的区别?**
    这个问法甚至有点幼稚。
    却让她真正开始往下想。
    一群人同时撑伞,不一定说明他们彼此影响,可能只是一起下雨;一群鸟突然转向,也不能仅凭“同时”就说出现了某种整体智能,因为它们也可能都看见了同一个威胁。许多个体独立响应同一个外部条件,同样可以制造出非常整齐的集体变化。真正要区分“大家各自变化”与“整体产生新行为”,不能只看结果整不整齐,也不能只看有没有同步。
    那看什么?
    江遥没有继续写理论。
    她拿笔画了十个小圆点。
    如果这十个东西彼此完全独立,那么改变其中一个,影响应该主要留在那个个体上;如果它们之间真的形成了一个整体,局部的一点扰动可能会被别处感受到,甚至沿系统传播。换句话说,与其盯着所有人同时发生了什么,不如故意轻轻碰一个,看看其他人会不会以一种无法由共同外界解释的方式跟着改变。
    她在纸上写下第一条:
    **局部扰动。**
    第二条来得慢一点。
    即使局部扰动会传播,也可能只是简单机械连接,不一定意味着真正的新整体行为。那怎样看“整体”有没有形成属于自己的尺度或规律?她试着把十个点画成二十个、五十个。如果系统规模变化以后,某种现象只是按个体数量简单相加,那很像独立个体的累积;如果却出现一个只有达到一定规模才发生、或者随着系统变大出现稳定的新关系,那才更像集体本身产生了新的层次。
    于是第二条:
    **改变规模。**
    她写完以后停了很久。
    这两项已经足够构成一个简单测试,却还不能完全令她满意。因为“局部扰动传播”和“规模效应”都可能由普通耦合产生,而题目问的是怎样区分“独立变化”与“系统作为整体产生新的行为”,并没有要求证明什么高深概念。她忽然意识到自己又差点多走了一步。
    题目其实没有要求她定义“真正的整体”。
    只要提出足够区分两类解释的观测。
    于是她把后面已经起头的一整段删掉。
    保留最少的东西。
    第一,看个体之间的变化是否只由共同外部条件解释,还是存在对彼此状态的额外依赖;最直接的方法是只扰动局部,观察远处响应。
    第二,改变系统大小或
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