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From: Tim May <tcmay.domain.name.hidden>

Date: Mon, 30 Dec 2002 11:18:17 -0800

On Monday, December 30, 2002, at 10:44 AM, Stephen Paul King wrote:

*> QM comp seems to operate in the space of the Reals (R) and TM
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*> operates
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*> in the space of Integers (Z), is this correct?
*

Any finite system, which of course all systems are, can have all of its

quantum mechanics calculations done with finite-dimensional vector

spaces. The "full-blown machinery" of an infinite-dimensional Hilbert

space is nice to have, in the same way that Fourier analysis is more

elegantly done with all possible frequencies even though no actual

system (including the universe!) needs all frequencies.

*>
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*> We must additionally account for, at least, the "illusion" of time
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*> and
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*> concurrency of events.
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*>
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I don't see any problems with either. (Yes, I have read Huw Price's

book.)

--Tim May

Received on Mon Dec 30 2002 - 14:21:34 PST

Date: Mon, 30 Dec 2002 11:18:17 -0800

On Monday, December 30, 2002, at 10:44 AM, Stephen Paul King wrote:

Any finite system, which of course all systems are, can have all of its

quantum mechanics calculations done with finite-dimensional vector

spaces. The "full-blown machinery" of an infinite-dimensional Hilbert

space is nice to have, in the same way that Fourier analysis is more

elegantly done with all possible frequencies even though no actual

system (including the universe!) needs all frequencies.

I don't see any problems with either. (Yes, I have read Huw Price's

book.)

--Tim May

Received on Mon Dec 30 2002 - 14:21:34 PST

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