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This happens faster than one could measure distance.
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Quantum fluctuations of space-time in this regime are so large that all rulers are rapidly bending and shrinking in an unpredictable way. Here is the first one: Suppose the universe is in a state with the Planck density r ~ 10 94 g/cm 3. To understand the issue, consider some examples of an incomprehensible universe where mathematics would be inefficient. Let us see whether it might help us again. Now we know that inflationary cosmology provides a possible answer to all of these questions. Why is our universe so large? Why parallel lines do not intersect? Why different parts of the universe look so similar? For a long time such questions looked too metaphysical to be considered seriously. But shall we give up so easily? Let us consider several other questions of a similar type. This would match the words about a miracle and an undeserved gift. One could always respond that God created the universe and made it simple enough so that we can comprehend it. "The fact that it is comprehensible is a miracle." Similarly, Eugene Wigner said that the unreasonable efficiency of mathematics is "a wonderful gift which we neither understand nor deserve." Thus we have a problem that may seem too metaphysical to be addressed in a meaningful way: Why do we live in a comprehensible universe with certain rules, which can be efficiently used for predicting our future?
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"The most incomprehensible thing about the world is that it is comprehensible." This is one of the most famous quotes from Albert Einstein.
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They would be well advised to study Tom Schelling in order to figure out how to make that commitment. Many of society's thorniest problems, from climate change to Middle East peace could be solved if the relevant parties could only find a way to commit themselves to some future course of action. Most cocaine addicts will probably have no trouble thinking of something to write about, and will now have a very strong incentive to stay off drugs. Patient were offered an opportunity to write a self- incriminating letter that would be delivered if and only if the patient, who is tested on a random schedule, is found to have used cocaine. A Denver rehabilitation clinic whose clientele consisted of wealthy cocaine addicts, offered a "self-blackmail" strategy. Schelling gives many examples of how this can be done, but here is my favorite.
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It is well known that thorny games such as the prisoner's dilemma can be solved if both players can credibly commit themselves to cooperating, but how can I convince you that I will cooperate when it is a dominant strategy for me to defect? (And, if you and I are game theorists, you know that I know that you know that I know that defecting is a dominant strategy.) But although the idea is an old one, we did not begin to understand its nuances until Nobel Laureate Thomas Schelling's wrote his 1956 masterpiece: "An Essay on Bargaining". Another classic is Cortés's decision to burn his ships upon arriving in Mexico, thus removing retreat as one of the options his crew could consider. And he committed his crew to not listening by filling their ears with wax. Odysseus famously had his crew tie him to the mast so he could listen to the Sirens' songs without falling into the temptation to steer the ship into the rocks. The idea of commitment as a strategy is an ancient one. There are cases when I can make myself better off by restricting my future choices and commit myself to a specific course of action. It is a fundamental principle of economics that a person is always better off if they have more alternatives to choose from.