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The Boltzmann brain thought experiment suggests that it might be more likely for a brain to spontaneously form in space, complete with a memory of having existed in our universe, rather than for the entire universe to come about in the manner cosmologists think it actually did.
While a monkey is used as a mechanism for the thought experiment, it would be unlikely to ever write Hamlet, according to researchers.. The infinite monkey theorem states that a monkey hitting keys at random on a typewriter keyboard for an infinite amount of time will almost surely type any given text, including the complete works of William Shakespeare.
Boltzmann brain: If the universe we observe resulted from a random thermodynamic fluctuation, it would be vastly more likely to be a simple one than the complex one we observe. The simplest case would be just a brain floating in vacuum, having the thoughts and sensations an ostensible observer has.
A Boltzmann machine, like a Sherrington–Kirkpatrick model, is a network of units with a total "energy" (Hamiltonian) defined for the overall network. Its units produce binary results. Boltzmann machine weights are stochastic. The global energy in a Boltzmann machine is identical in form to that of Hopfield networks and Ising models:
This means that in infinite time every configuration of particles will occur, and since more configurations of particles correspond to "a brain" than to "a brain and a body" or "a brain and a body and an livable environment" by a huge factor we should expect that Boltzmann Brains will outnumber human brains by a similar factor.
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Boltzmann's distribution is an exponential distribution. Boltzmann factor (vertical axis) as a function of temperature T for several energy differences ε i − ε j.. In statistical mechanics and mathematics, a Boltzmann distribution (also called Gibbs distribution [1]) is a probability distribution or probability measure that gives the probability that a system will be in a certain ...
“As an actor, you're looking at all your stuff in the script, and you're like, okay. I'm running. I'm shooting. I'm running. I'm throwing hand grenades. I'm killing myself with a hand grenade ...