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Bitcoin, your money is secured by the laws of the universe

Is the math correct? Found this at [https://bitcointalk.org/index.php?topic=1305887.msg13377743#msg13377743](https://bitcointalk.org/index.php?topic=1305887.msg13377743#msg13377743)

Posted by [Mexxer-2](https://bitcointalk.org/index.php?action=profile;u=341982)

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3 Comments

  1. Jup this seems an alternative version of Bruce Schneier (Applied Cryptography (pp. 157–8))

    >One of the consequences of the second law of thermodynamics is that a certain amount of energy is necessary to represent information. To record a single bit by changing the state of a system requires an amount of energy no less than kT, where T is the absolute temperature of the system and k is the Boltzman constant. (Stick with me; the physics lesson is almost over.)
    >
    >Given that k = 1.38×10-16 erg/°Kelvin, and that the ambient temperature of the universe is 3.2°Kelvin, an ideal computer running at 3.2°K would consume 4.4×10-16 ergs every time it set or cleared a bit. To run a computer any colder than the cosmic background radiation would require extra energy to run a heat pump.
    >
    >Now, the annual energy output of our sun is about 1.21×1041 ergs. This is enough to power about 2.7×1056 single bit changes on our ideal computer; enough state changes to put a 187-bit counter through all its values. If we built a Dyson sphere around the sun and captured all its energy for 32 years, without any loss, we could power a computer to count up to 2192. Of course, it wouldn’t have the energy left over to perform any useful calculations with this counter.
    >
    >But that’s just one star, and a measly one at that. A typical supernova releases something like 1051 ergs. (About a hundred times as much energy would be released in the form of neutrinos, but let them go for now.) If all of this energy could be channeled into a single orgy of computation, a 219-bit counter could be cycled through all of its states.
    >
    >These numbers have nothing to do with the technology of the devices; they are the maximums that thermodynamics will allow. And they strongly imply that brute-force attacks against 256-bit keys will be infeasible until computers are built from something other than matter and occupy something other than space.

    [https://www.schneier.com/blog/archives/2009/09/the_doghouse_cr.html](https://www.schneier.com/blog/archives/2009/09/the_doghouse_cr.html)

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