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*To*: [email protected]*Subject*: Crypto and new computing strategies*From*: [email protected] (Eric Hughes)*Date*: Wed, 30 Mar 94 13:18:10 -0800*In-Reply-To*: Jim choate's message of Wed, 30 Mar 1994 14:48:06 -0600 (CST) <[email protected]>*Sender*: [email protected]

>> The Bekenstein Bound gives limits both on the expected maximum number >> of quantum states encodable in a given volume of space and on the >> expected maximum number os transitions between these states. If this >> bound holds (and it certainly seems to hold for EM fields), then a >> probabilistic Turing machine will be able to simulate it. >First off, EM fields are NOT QM. The "EM fields" I was referring to mean electromagnetic interactions, that's all. The argument on the Bekenstein bound does not depend on the nature of the particles mediating the field, but on the existence of non-zero commutators for position and momentum, i.e. Heisenberg uncertainty. Bekenstein uses his argument to try to constrain the possibilities of interaction inside the proton, for example. I'm not sure it works for that, but the argument is pretty clear about states mediated by electromagnetic interaction. >As to infinite precision and its non-presence....Beeep....wrong answer... You must not understand what the Bekenstein bound says. It says, very clearly, infinite precision does not exist. If you disagree with the applicability of the result, then say so, but you'd better know what the result is before you go haplessly denying it. >Electrons change state in zero time, this implies at least some form o f >infinite precision The second half of the Bekenstein bound says that infinitely fast state changes do not occur. Again, no infinite precision. "Zero time" is a different statement than "almost zero time" or "so small that we can't measure how small." What may be reasonably taken to be instantaneous in one model, with it's own characteristic approximations, need not be instantaneous in another. Eric

**Follow-Ups**:**Crypto and new computing strategies***From:*[email protected] (Robert M. Solovay)

**Re: Crypto and new computing strategies***From:*Jim choate <[email protected]>

**References**:**Re: Crypto and new computing strategies***From:*Jim choate <[email protected]>

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