论文标题

是否有针对非共性系统的第四定律来构建其扩展的相位空间?

Is There a 4th Law for Non-Ergodic Systems That Do Work To Construct Their Expanding Phase Space?

论文作者

Kauffman, Stuart

论文摘要

存在实质性的理由来怀疑牛顿范式需要预先陈述的固定相空间的普遍有效性。因此,仅针对固定相位空间所陈述的热力学的第二定律也令人怀疑。牛顿范式的有效性可能会在不断发展的生活开始时停止。活细胞和生物是实现约束封闭的康德批发,因此热力学工作也可以建造自己。进化构建了一个不断扩展的相位空间。因此,我们可以要求每增加一个自由度的自由能源成本。在构造的质量中,该成本大致是线性的或sublinear。但是,相位空间的膨胀是指数的。因此,不断发展的生物圈从事热力学工作,以每增加一个自由度的自由能量成本较小的自由能成本,将自己构建成其不断扩展的相位空间的不断繁殖的子域。熵确实会减少。 此处称为热力学的第四定律的可检验含义是,在恒定能量输入下,生物圈将自身构建为越来越局部的膨胀相空间区域。这是确认的。自从生命开始发展以来的40亿年中,太阳的能量输入大致恒定。我们当前生物圈在其蛋白相空间中的定位至少为10^-2540。我们的生物圈就由高达350,000个原子组成的Chnops分子的定位非常高。熵有所减少。第二定律的普遍性失败了。

Substantial grounds exist to doubt the universal validity of the Newtonian Paradigm that requires a pre-stated, fixed phase space. Therefore, the Second Law of Thermodynamics, stated only for fixed phase spaces, is also in doubt. The validity of the Newtonian Paradigm may stop at the onset of evolving life. Living cells and organisms are Kantian Wholes that achieve constraint closure, so do thermodynamic work to construct themselves. Evolution constructs an ever-expanding phase space. Thus, we can ask the free energy cost per added degree of freedom. That cost is roughly linear or sublinear in the mass constructed. However, the resulting expansion of the phase space is exponential. Thus, the evolving biosphere does thermodynamic work to construct itself into an ever-smaller sub-domain of its ever-expanding phase space at ever less free energy cost per added degree of freedom. Entropy really does decrease. A testable implication of this, termed here the Fourth Law of Thermodynamics, is that at constant energy input, the biosphere will construct itself into an ever more localized subregion of its ever-expanding phase space. This is confirmed. The energy input from the sun has been roughly constant for the 4 billion years since life started to evolve. The localization of our current biosphere in its protein phase space is at least 10^-2540. The localization of our biosphere with respect to molecules of CHNOPS comprised of up to 350,000 atoms is extremely high. Entropy has decreased. The universality of the Second Law fails.

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