Actually, in standard quantum mechanics, there is an infinity of
observer moments, 2^{\aleph_0} of them in fact.

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What you are talking about are various quantum gravity theories, such
as string theory, which appear to have a finite number of observer
moments.
However, even if as observers we are locked into a Nietschian cycle at
some point in time due to finiteness of the number of possible states,
the number will be so large that the practical effects of QTI will
still need to be considered.
Cheers
On Tue, Sep 12, 2006 at 11:58:14PM +0200, Saibal Mitra wrote:
>
> QTI in the way defined in this list contradicts quantum mechanics. The
> observable part of the universe can only be in a finite number of quantum
> states. So, it can only harbor a finite number of observer moments or
> experiences a person can have, see here for details:
>
> http://arxiv.org/abs/gr-qc/0102010
>
> If there can only be a finite number of observer moments you can only
> experience a finite amount of time.
>
> QED.
>
>
>
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