守恒,就是事物从一种形式转换成另一种形式时,没有内容的丢失。 ―作者
信息守恒定律信息守恒就是波守恒。事物的守恒多是不依赖人的感觉而客观存在的。人的主观感觉常常妨碍人们全面地认识事物的守恒性。当人们看到物质燃烧后没有了的时候,曾以为物质是可以被消灭的;看到一块石头静静地躺在那儿时也曾认为它不是在运动着的;看到一个木球撞了油灰球后动能减少了,也认为能量是可以丢失的。现在科学家们知道上述概念都是不全面的。为什么呢?因为人们总是以“看到”的为基础,对我们所看不见的形式则要等技术发展了,通过实验等可以“看见”了时才承认。这是正常的,因为人们毕竟要从感觉到的现象入手来研究“存在”这个概念。首先通过人的自然感官认识事物的存在,确定其主观存在形式。然后,随着认识的发展,进一步认清事物存在的其它形式,即客观存在形式,最后才是定性和定量地研究各种形式间的关系以构成对该事物较完整的认识。例如对物质不灭定律的认识,就有赖于认清物质的存在形式有固态、液态、气态三态,并且物质之间存在着化学反应。这样,人们就便于理解,在我们的感觉之外(看不见的)物质还以其它形式存在着,并且在各种形式的转换过程中物质并没丢失。烧掉的木头变成了气体和灰等,形式变了,原来的内容并没丢失。对运动绝对性的认识则有赖于认清物质的运动形式是有不同层次的,除我们能感到的星体或物体运动外,还有我们看不见的分子运动和粒子运动。所以要全面认识事物,首先就得认清事物的存在形式,尤其是那些存在于我们感觉范围以外的形式。
能量被认为是守恒的。这个概念的获得取决于人们对物质存在和运动形式的了解(如图2-1所示)。物质存在的形式(物体、分子、粒子)被认清后人们就有了物质不灭的认识。
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)
而物质存在形式不同,运动的方式就不同,能量形式也就有了相应的差别。于是人们认识到了运动的绝对性和能量的守恒性。定量研究的结果表明,动能、内能、辐射能等形式可以相互转换,而在转换过程中总能量不丢失。
信息守恒定律是能量守恒定律合乎逻辑的推理结果(参见图2-1)。信息守恒定律要求机械波、物质波和电磁波三种形式可以转换,并在转换过程中“波”不丢失。定性地分析,这是可理解的。因为波是能量的传播形式,各种形式的能量传播和转换都与波有关。所以,如果在波形式的转换过程中出现了不平衡,出现了丢失,就等于说能量不守恒了。在定量方面,一般认为任何运动着的颗粒都具有波粒二象性。当能量游离于传播者和受传者时则表现为粒的性质。另一方面,颗粒越大的运动物质,粒的性质越明显(对粒子性的描述用能量E和动量P两个参量)。而越小的运动颗粒所表现出的波的性质就越明显(用波长λ和频率表述波)。关于波粒二象性的统一描述,有德布洛意关系式:
![](data:image/png;base64,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)
h为普朗克常数,C为光速。
一般认为这个关系式适用于整个“粒子”的质心运动。从这个关系式我们可以推出,“粒子”质心运动的波长变化(△λ)一定与运动粒子的动量变化(△P)和能量变化(△E)成反比。即:
![](data:image/png;base64,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)
但我们知道,动量和能量总是守恒的,一个物体损失的动量或能量等于另一个获得的:
![](data:image/png;base64,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)
因此总动量P和总能量E的变化总是为零(守恒);
![](data:image/png;base64,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)
综合(2)式,得:
![](data:image/png;base64,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)
因为△P2+△P1=0,所以△λ=0,△λ1=-△λ2
这就是波守恒的表述,也就是信息守恒定律的定量描述。它告诉我们,一个物体传播出去的信息(波)等于另一个物体所获得的。与任何守恒的事物一样,信息也是不能创造和消灭的。信息只能有形式的转换。如果有量的变化也是某一种形式量的变化,宇宙中的总信息量是不会变的,它是随着物质的不灭而永存的。人类所“创造”的信息是消耗了其它形式和信息所换来的。同样,在消耗“人造”信息的同时,它也会转换成另一种形式的。值得强调的是,信息的存在和信息的被理解是两码事,要时刻记住人所能感受的信息是有限的。守恒的只是信息本身,而信息在哪些物体间传播,在物质的哪个层次上传播是不受限制的。正因为如此,信息作用才有多样性和多效性的。
信息的直接功能在系统中体现在多数情况下,信息局限在某些物质之间引起相互作用以形成一个系统。每个系统都有其特征性的信息,称为系统信息。它可被构成系统的物质理解并做出反映。例如在人类系统中,语言就是系统信息,它可被系统的成员所理解。随着系统信息量的增加,最终会产生功能异化而产生出新的子系统。新系统的形成多伴有新信息形式的出现,信息所联系的成员也发生了变化,从而产生了新的效应。以生物系统为例,其系统信息是基因(借化学能的有序形式表达的信息。详见下一节),当基因在生物系统中量变到某一时刻时就产生了质的改变,出现了可相互交流的语言(文化信息),信息所联络的成员也就有了修改,新系统就宣告成立了(见文化进化)。实际上,太阳系、地球、生物界、人类社会等都是宇宙这个大系统内信息流动到某一时刻时派生出的子系统。信息在各系统内作用的总效应是使该系统的结构和功能趋于稳定、平衡。子系统的出现往往增加了母系统的有序程度,从而增加了它的稳定性。子系统的产生是母系统稳定存在不可避免的。
信息不以人的感觉而存在那种认为信息“是物质的客观属性在人脑中的反映”的说法是片面的。因为这种说法暗示“人头脑中没有反映到的就不是信息”。事实是,信息并不依赖人的感觉而存在,就象我们看不见的气体同样是物质的存在形式一样。信息也有不同的层次(见图2-1),我们能感受到的只是它极小的一部分。信息的作用范围极为广泛。它不仅能减少人所能感觉到的系统内的不确定性,而且能减少那些人所不能感觉到的系统的不确定性。任何信息的接受者都要对信息作出反应,因为任何物体都要对能量作用作出反应。但反应的程度取决于物体对信息理解的程度,越是血缘关系近的系统信息越容易被理解。总之,从地球的形成到人类的出现无一不是信息作用的结果,从山崩地裂到谈情说爱也都是信息的功能结果。所不同的只是信息所连通的物体有别罢了。一个台风给地球的信息与一个概念给人的信息是类似的。我们理解了,而大自然接受了台风。不要以为只有人才能感受信息,合适的说法应该是“人是作为一种物质在感受信息的”。在接受信息方面,人没有多大的特殊性。
如果对信息守恒在人身上的体现感到困惑,就想一想能量守恒是怎样在人身上体现的。当研究人体的能量守恒时,人摄入的“能量是与食物氧化燃烧所获的能量等值的,而消耗的能量也是用作的功和热辐射等参量衡量的。很简单,只把人看成是一个能吸收和转化能量的物体。当考虑信息守恒时,我们也只把人看成是个可以接受、转换信息的物体,而不考虑信息被理解的情况,因为不管是否被理解信息总是存在的。人类以语言为信息,其目的是希望受传者获悉,如果有人听见了这个信息则信息作为人际交流的目的就达到了,这是狭义的信息。当我们说话没人听时,声波就会转换成其它的波(有人听时也如此),因而信息并没消失,这是广义的信息。狭义的信息以人的感知为前提,强调信息在人脑中的反映。广义的信息以波守恒为前提,是守恒的,不可消灭的。
广义信息说的意义在于它使人们有机会在一个更广泛的基础上讨论事物存在的问题,也就是遗传的问题。因为按照这个说法,任何存在的事物都是信息作用的结果,事物的过去,现在和未来都是由信息运动决定的。某一事物的形成和发展取决于特定的信息作用方式。从哲学的角度看,广义信息说比狭义信息论更唯物,因为它认为信息可以完全不依赖人的感知而存在并发生作用。
用信息守恒和广义信息说的观点分析生物遗传和文化遗传,我们就很容易发现它们之间存在着的共性和联系。
宇宙的信息系统事物以系统的形式存在我不敢问宇宙,太阳系统和地球是怎样形成的之类的问题,因为问了也无从回答。于是就认定存在的就是必然的。但又感到,一切必然的存在都是偶然的。广义信息说至少能对存在的必然性做一番解释。
尽管科学家们对宇宙是怎么形成的、宇宙早期是怎样的、宇宙世界是否在变等问题还在争论,可他们都大胆地认定宇宙是有边的,是个关闭的大系统。于是事物的运动就万变不离其“中”了。在宇宙范围内物质是不灭的,能量是守恒的。鉴于象一滴水一样汇入小溪跳入江河,奔向大海。然而,这些运动绝不是紊乱的,运动的结果是使整个宇宙系统达到结构和功能上的平衡。太阳系被安排在这儿,地球被放在这儿虽然很偶然,可一旦它存在了就是必然的了。是什么的必然呢?是信息作用的必然。
地球的太阳系的形成和存在是宇宙内物质相互作用的结果,是宇宙信息交流的结果。不管这种信息交流持续时间的长短,最终由于有了太阳系等,宇宙大系统趋于稳定了。有了地球(和其它行星)太阳系稳定了。地球的存在对太阳来说太重要了,至少与太阳对地球的重要程度相似。在地球形成以后,它就一刻也没停地跟太阳和其它星球及全宇宙对话。这种信息交流的结果使地球一会儿冰雪覆盖,一会儿翻江倒海。山峰的突起就象人身上的丘疹一样,此起彼伏。然而这些运动是必要的,它使地球趋于稳定。尽管人们做了最大的努力,可还是不能很好地理解星际交流的语言,我们不知道太阳或其它星球是用什么样的语言让地球发生种种变故的。但很明显的是,变故的信息是来自外界的,是上级系统传下来的。
宇宙信息的传递和我们政府文件的传达一样,是有一定的渠道的,呈一定等级的。一个等级就是一个系统,它有一定的成员组成,有特定的信息形式和相应的系统功能。以太阳系为例,虽然我们不知道该系统特有的信息形式,可我们知道它是由九大行星和太阳组成的,系统成员之间信息交流的结果是使上级系统(或同级系统,见文化进化)来的信息在系统内合理分布,从而使系统趋于平衡、有序。
一般说来,任何系统都是通过衍生出子系统或向子系统输出不稳定因素而达到自身的稳定的。子系统就是母系统的信息缓冲垫,可以减小母系统接受信息后的振动,从而增加其稳定性。以地球系统为例,它本身是太阳系统的一个子系统,其存在增加了太阳系系统的稳定性。然而它自身的稳定性则靠形成新的子系统来维持。新系统就是生物系统。在生物系统出现以前,地球作为太阳系统的一个子系统也是不稳定的,激烈的能量作用携带的信息使地球发生翻天覆地的变化。这种信息量逐渐增加终于导致了化学进化的启动。从46亿年前地球诞生算起约10亿年,是化学进化的时代,也就是子系统形成的时代。那时候,星际信息交流的结果已使地球有了生成有机物的环境――原始大气和海洋,有外界传来的和内部积聚的能量。于是各种原子不满于被离子键捆得牢牢的,它们在放电、热、光和冲击波的作用下(上级信息的作用下)形成较自由的、多样化的共价键化合物――简单的中间体有机物。又是在外来的和相互间的信息交流过程中形成了氨基酸、核酸碱基、糖等基本的生物体有机化合物。再以后是氨基酸进化到低肽,从核酸碱基进化到核苷酸,即形成了寡聚体。这样就基本上完成了从有机物质向生命进化这一化学进化的过程了。生命在此时还是个偶然性。
当蛋白质和核酸结合在一起时,生命系统就形成了。蛋白质可以进行“能量代谢”,核酸有“自我复制”的功能。两者一起形成“维持机体的构造”。
生物系统的形成在信息守恒上有着重要的意义。首先,它改变了信息形式:外来的物理信息(辐射能、冲击波等)被转换成了化学信息。其次,信息所联接的成员不同了,从无机物变成了有机体。由于新系统的形成,地球作为一个较稳定的系统使太阳系等上级系统更有序、更稳定了。地球与其它星球间的信息交流(或能量作用)显得更平稳了。生物系统形成以后,由星际信息交流所带来的能量在地球上有了更合理的分布,那些原来可能造成剧烈反应的信息能量被生物系统缓冲了。生物安静地接受各方面的信息,又把它们转化。这样,生物在成为地球的一个子系统的同时自身也就组成了一个大系统。在与外界交流时其功能是作为子系统维护母系统的有序性。在进行内部交流时信息的功能是使本系统趋于稳定。于是就有了生物的遗传和进化。
系统的划分依据是信息质量系统的划分多半是人为的,但任何分类都该有客观依据。宇宙信息系统的划分依据是:系统语言,包括语言的形式和内容。任何应用同一形式语言(信息)或同一内容语言的物质(系统成员)都可归为一个系统。系统间的血缘关系,取决于是否在所用语言的形式或内容上有相似或相同。新衍生出的子系统常在语言形式或内容上与母系统一致。以生物系统为例,其系统语言(系统信息)是基因,基因所代表的信息形式是化学能的有序状态。任何生物以此为基本信息,在基因的基础上进行一切生物功能活动。由于基因是所有生物所共用的信息形式,所以共用这一信息形式上的生物就构成了一个系统。在另一方面,虽然生物所共用的信息(基因)在形式上相同,但在内容上还有差异,即在质上是相同的、量上有差异。因此,应用同一内容语言的生物又各自形成子系统。在子系统内,遗传信息可以通过繁殖活动交流、增殖。子系统之间划分的依据是生殖隔离。种间(系统间)的区别实质上就是信息信的不可交流性造成的。在生物分类中,物种的划分就是以生殖隔离为依据的;地貌的变迁和气候的改变先在生物属内产生地理隔离和繁殖季节的隔离。在这些隔离机制的基础上,物种产生了广泛的变异,当两个彼此隔离并变异了的物种再碰到一起已不能繁殖后代了的时候,新种就形成了。新种的形成是基因从量变到“质”变的结果,所谓“质”变并不是基因的化学结构(即信息形式)发生了改变。如我们前面讨论过的,在生物系统形成以后其信息的形式就不变了,改变的只是基因的量和多个基因的组合方式。所以,新物种形成的实质是量的差异。这种差异对基因的交流形成阻力、造成不可交流性。因此,可顺利交流信息的生物群体就构成了一个系统,称为种。
人类是生物大系统中的一个子系统,也称人种。从生物学的角度讲,所有人都可通过有性繁殖来传递、交流生物信息――基因。人之所以自成系统是因为与其它物种间存在生殖隔离,即基因的不可交流性(自然状态下。在实验室的人工条件下及病理条件下是可以交流的,因为在分子水平上并不存在种间差异。)。然而,从信息的角度讲,人类系统的存在有着极大的意义。因为在人类系统中不仅流动着以化学形式存在的信息,而且还有以物理-化学形式存在的信息――思因(详见下一章),更有以物理形式存在着的人造的文化信息。文化信息是人类系统所独有的,这一信息形式的产生是生物进化的结果。所谓生物进化,就是随着基因量的增加,思因(可暂时理解为思维机制,详细描述见后)发生质的改变,这种质变到了人类就是创造社会性文化信息的能力。严格来讲,所有生物都具有思维的能力,广义的思维是指物体对外界信息的能动性反应。思维的能力(与思因的质有关)是随基因的量变而增强的。所以在生物系统中基因在量变着,思因在质变着。而到了人类系统,基因的量基本稳定了,思因的形式(质)也稳定了,改变着的是思因的量和文化信息的质。
关于思因的本质,文化的产生和进化等问题,在以后的章节中会有更详细的讨论。本章的目的是要说明,无论是基因还是人类文化都是宇宙恒量信息的一部分。所以都遵守同一个信息作用法则,即减少本系统的不确定性、使系统趋于稳定。信息本身是不可消灭的。被埋藏的文化信息和腐烂了的作物一样,前者的信息形式转变了,后者的能量形式转变了,但谁也没被消灭。虽然信息是不灭的,但随着信息形式的不同,内容的不同(即质和量的不同),以及信息所联接的物体的不同,信息就具有了特性,这一特性决定了某些信息经常在一个范围内起作用。在一定范围内起作用的信息可被称为系统语言。无论是宇宙,生物还是人类系统,都有其自己的语言,这种系统语言可被系统成员所理解。子系统的语言是母系统的派生物,是伴随子系统的形成而产生的。一般说来子系统受母系统信息的支配。系统语言作用的结果是使系统和谐,以适应生存的环境。
为了更好地理解信息系统的层次,我借助信息系统树来图示说明(见图2-2)
![](data:image/png;base64,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)
图2-2,宇宙信息系统树
图中实线表示我们较关心的信息系统。虚线是与实线同级(兄弟)系统的省略,同时也代表向兄弟系统或子系统延伸形成网格结构的可能性。至于这颗树根生何处,能长多高等问题请参见文化进化一章。对这一系统树,我所能做出的解释是有限的。因为我对天体物理学、地质学等几乎是连门都找不到,是典型的门外汉。但用信息守恒的观点看待科学,会发现每门学科无不是在研究某一系统的信息或语言,研究信息的形式或内容,交流的方式,联系的对象和作用的结果等。如生物学家就是研究生物系统信息――基因的结构形式,功能活动和作用规律的,人类学家或社会学家就是研究在群中流动着的文化信息是怎样作用的,作用的结果如何等。相信每个科学家都能说出他所研究领域内的信息形式来的。广义信息说在科学研究上也有些指导作用,它能使科学家较容易地找出研究对象中的作用规律。方法是:先定义系统的范围,即构成系统的要素。找出系统内可相互理解的信息,即系统语言。研究语言的结构,用法。最后去发现系统语言是怎样使系统和谐稳定的。于是就发现了现象后面的规律。
生物和人类系统各有独特的“中心法则”在这本书里,作者就试用这种方法,通过比较生物系统(已被很好地描述了)和人类文化系统,来说明文化发展、变化和规律。从图2-2中我们不难看出,人类系统是生物系统的一个子系统。两者既有联系又有很大的不同(见表2-1)
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)
很明显,所有人类系统的因素都是以生物系统的相应因素为基础的。没有基因,没有基因产物(蛋白质)就不会有思因。在谈及人类的社会性以前(即在考虑人类文化以前),人类首先是个最高级的生物子系统。在环境长期作用下,人有了敏锐的感官,可以感受地球上最常见的,与生存关系密切的可见光、声、味、温等信息。不仅如此,人类还可以根据得到的有关信息做出较其它动物准确、有利的反应,即思因的进化达到了最高点,以致于突破其它生物所共有的内思维系统而产生出完整的外表达体系――社会性文化。因为人类是生物的一个子系统,所以一定要遵守生物系统信息作用法则,即所谓的中心法则,DNA→RNA→蛋白质。意为生物信息的流动方向是从DNA,经RNA(核糖核酸,是DNA上蛋白质之间信息联通的中介体)到蛋白质的。中心法则说明生物的性状(蛋白质所构成机体的结构和功能)是由基因(DNA)决定的。生物的遗传中心法则很容易被社会学家误解,社会达尔文主义就曾经认为,既然人的思维和行为也是蛋白质的功能,所以寻根找去,基因就是行为的决定者了。他们把生物遗传中的中心法则扩展为“DNA→RNA→蛋白质→人的行为”。于是,在科学上人们力图找到决定各种行为和思维(如犯罪和天才)的基因,应用到社会领域就是血统论甚至种族灭绝政策。“扩展”中心法则的错误在于,它混淆了系统界限,把问题简单化了。人的思想和社会行为已不属于生物系统的范畴了,因为在人类系统内,我们有除基因外的另一种特征性信息。这一信息(思因)和基因相似,有它自己的中心法则,即有它自身的信息作用规律。
我希望我能发现规律,可规律总是先发现我。我认识它吗?
https://blog.sciencenet.cn/blog-290052-482998.html
上一篇:
第一章:文化遗传学引论下一篇:
第三章:文化遗传的基因——思因