Landauer's principle, often regarded as the basic principle of the thermodynamics of information processing, holds that any logically irreversible manipulation of information, such as the erasure of a bit or the merging of two computation paths, must be accompanied by a corresponding entropy increase in non-information-bearing degrees of freedom of the information-processing apparatus or its environment. Conversely, it is generally accepted that any logically reversible transformation of information can in principle be accomplished by an appropriate physical mechanism operating in a (...) thermodynamically reversible fashion. These notions have sometimes been criticized either as being false, or as being trivial and obvious, and therefore unhelpful for purposes such as explaining why Maxwell's Demon cannot violate the second law of thermodynamics. Here I attempt to refute some of the arguments against Landauer's principle, while arguing that although in a sense it is indeed a straightforward consequence or restatement of the Second Law, it still has considerable pedagogic and explanatory power, especially in the context of other influential ideas in nineteenth and twentieth century physics. Similar arguments have been given by Jeffrey Bub. (shrink)

The observed complexity of nature is often attributed to an intrinsic propensity of matter to self-organize under certain (e.g., dissipative) conditions. In order better to understand and test this vague thesis, we define complexity as “logical depth,” a notion based on algorithmic information and computational time complexity. Informally, logical depth is the number of steps in the deductive or causal path connecting a thing with its plausible origin. We then assess the effects of dissipation, noise, and spatial and other symmetries (...) of the initial conditions and equations of motion on the asymptotic complexity-generating abilities of statistical-mechanical model systems. We concentrate on discrete, spatially-homogeneous, locally-interacting systems such as kinetic Ising models and cellular automata. (shrink)

pt. I. The mystical ambition.--pt. II. Revelation.--pt. III. Religion and morality.

In their article, ‘That is not dead which can eternal lie: the aestivation hypothesis for resolving Fermi’s paradox’, Sandberg et al. try to explain the Fermi paradox by claiming that Landauer’s principle implies that a civilization can in principle perform far more times more) irreversible logical operations if it conserves its resources until the distant future when the cosmic background temperature is very low. So perhaps aliens are out there, but quietly waiting. Sandberg et al. implicitly assume, however, that computer-generated (...) entropy can only be disposed of by transferring it to the cosmological background. In fact, while this assumption may apply in the distant future, our universe today contains vast reservoirs and other physical systems in non-maximal entropy states, and computer-generated entropy can be transferred to them at the adiabatic conversion rate of one bit of negentropy to erase one bit of error. This can be done at any time, and is not improved by waiting for a low cosmic background temperature. Thus aliens need not wait to be active. As Sandberg et al. do not provide a concrete model of the effect they assert, we construct one and show where their informal argument goes wrong. (shrink)

The sic of this passage is ordinarily taken as meaning, ‘on this condition,’ viz. the condition implied in reddas and serues. But du Mesnil urged that this interpretation was illogical. The fulfilment of the condition implied in reddas involves in itself the realization of the wish expressed in regat, and so makes that wish unnecessary. To this objection two answers have been made. Schütz expresses the opinion that the prayer is for the perpetual enjoyment of the favourable conditions enumerated in (...) verses 1–4. But apart from the unnaturalness of this explanation, it involves the north-west wind as the perpetual attendant of the vessel. This would prevent its easy return to Italy. The other answer is that such ‘matter of fact’ criticism should not be applied to poetry. But to the minds of many this seems a mere evasion of the question at issue. Most students of Horace, I venture to say, are far from satisfied with the traditional interpretation of the passage. (shrink)

The sic of this passage is ordinarily taken as meaning, ‘on this condition,’ viz. the condition implied in reddas and serues. But du Mesnil urged that this interpretation was illogical. The fulfilment of the condition implied in reddas involves in itself the realization of the wish expressed in regat, and so makes that wish unnecessary. To this objection two answers have been made. Schütz expresses the opinion that the prayer is for the perpetual enjoyment of the favourable conditions enumerated in (...) verses 1–4. But apart from the unnaturalness of this explanation, it involves the north-west wind as the perpetual attendant of the vessel. This would prevent its easy return to Italy. The other answer is that such ‘matter of fact’ criticism should not be applied to poetry. But to the minds of many this seems a mere evasion of the question at issue. Most students of Horace, I venture to say, are far from satisfied with the traditional interpretation of the passage. (shrink)