Picture: Mattes (PD)
The idea of entropy is fundamentally an intuitive one – that the Universe tends in general to a more disordered state.Read more here.
The classic example is a dropped cup: it will smash into pieces, but those pieces will never spontaneously recombine back into a cup. Analogously, a hot cup of coffee will always cool down if left – it will never draw warmth from a room to heat back up.
But the idea of “causal entropy” goes further, suggesting that a given physical system not only maximises the entropy within its current conditions, but that it reaches a state that will allow it more entropy – in a real sense, more options – in the future.
Alex Wissner-Gross of Harvard University and the Massachusetts Institute of Technology in the US and Cameron Freer from the University of Hawaii at Manoa, have now put together a mathematical model that ties this causal entropy idea – evident in a range of recent studies – into a single framework.
“In the past 10 to 15 years, there have been many hints from a variety of different disciplines that there was a deep link between entropy production and intelligence,” Dr Wissner-Gross told BBC News.
“This paper is really the first result that clarifies what that link precisely is… to the point that it’s prescriptive – it actually allows you to calculate in a sensible way answers to questions that couldn’t reasonably be answered before.”
The simplistic model considers a number of examples, such as a pendulum hanging from a moving cart. Simulations of the causal entropy idea show that the pendulum ends up pointing upward – an unstable situation, but one from which the pendulum can explore a wider variety of positions.
The researchers liken this to the development of upright walking.
Further simulations showed how the same idea could drive the development of tool use, social network formation and cooperation, and even the maximisation of profit in a simple financial market.
“While there were hints from a variety of other fields such as cosmology, it was so enormously surprising to see that one could take these principles, apply them to simple systems, and effectively for free have such behaviours pop out,” Dr Wissner-Gross said.
Raphael Bousso of the University of California Berkeley said: “It has always mystified me how well this principle models intelligent observers, and it would be wonderful if Alex’s work could shed some light on this.”
Prof Bousso showed in a 2007 paper in Physical Review D that models of the Universe that incorporated causal entropy were more likely to come up with a Universe that contains intelligent observers – that is, us.
However, he cautions that although the new paper bolsters the case for causal entropy, the idea still lacks explanatory power.
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