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From: Christoph Schiller <christoph_schiller.domain.name.hidden>

Date: Tue, 24 Oct 2000 06:10:31 -0700

('binary' encoding is not supported, stored as-is) Oops, sorry for the typo. I did *not* intend to say:

In addition, wavefunctions can be seen as functions over

space and time, so that the minimum measureable intervals

which make it impossible to say that space and time are sets,

allows to deduce that it is impossible that Hilbert spaces

are sets.

But:

In addition, wavefunctions can be seen as functions over

space and time, so that the minimum measureable intervals

which make it impossible to say that space and time are sets,

allow to deduce that it is impossible that wavefunctions

form sets. (At Planck scales, of course)

In particular, at Planck scales, wavefunctions do not form

Hilbert spaces. (In fact, it is unclear whether wavefunctions

make sense at all in these conditions.)

Of course, at usual energies, the Hilbert space is a good

approximation for the description of nature.

Date: Tue, 24 Oct 2000 06:10:31 -0700

('binary' encoding is not supported, stored as-is) Oops, sorry for the typo. I did *not* intend to say:

In addition, wavefunctions can be seen as functions over

space and time, so that the minimum measureable intervals

which make it impossible to say that space and time are sets,

allows to deduce that it is impossible that Hilbert spaces

are sets.

But:

In addition, wavefunctions can be seen as functions over

space and time, so that the minimum measureable intervals

which make it impossible to say that space and time are sets,

allow to deduce that it is impossible that wavefunctions

form sets. (At Planck scales, of course)

In particular, at Planck scales, wavefunctions do not form

Hilbert spaces. (In fact, it is unclear whether wavefunctions

make sense at all in these conditions.)

Of course, at usual energies, the Hilbert space is a good

approximation for the description of nature.

--- Have a look at my free physics textbook, written to be surprising and challenging on every page: http://www.dse.nl/motionmountain/contents.html --- ------------------------------------------------------------ --== Sent via Deja.com http://www.deja.com/ ==-- Before you buy.Received on Tue Oct 24 2000 - 06:08:52 PDT

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