On Wed, Oct 31, 2007 at 05:11:01PM -0700, George Levy wrote:
>
> Could we relate the expansion of the universe to the decrease in
> measure of a given observer? High measure corresponds to a small
> universe and conversely, low measure to a large one. For the observer
> the decrease in his measure would be caused by all the possible mode of
> decay of all the nuclear particles necessary for his consciousness.
> Corresponding to this decrease, the radius of the observable universe
> increases to make the universe less likely.
>
> This would provide an experimental way to measure absolute measure.
>
> I am not a proponent of ASSA, rather I believe in RSSA and in a
> cosmological principle for measure: that measure is independent of when
> or where the observer makes an observation. However, I thought that
> tying cosmic expansion to measure may be an interesting avenue of inquiry.
>
> George Levy
>
There is a relationship, though perhaps not quite what you think. The
measure of an OM will be 2^{-C_O}, where C_O is the amount of
information about the universe you know at that point in time
(measured in bits). The physical complexity C of the universe at a point
in time is in some sense the limit of all that is possible to know
about the universe, ie C_O <= C.
C is related to the size of the universe by the equation H = C + S,
where S is the entropy of the universe (measured in bits), and H is
the maximum possible entropy that would pertain if the universe were
in equilibrium. H is a monotonically increasing function of the size
of the universe - something like propertional to the volume (or
similar - I forget the details). S is also an increasing function (due
to the second law), but doesn't increase as fast as H. Consequently C
increases as a function of universe age, and so C_O can be larger now
than earlier in the universe, implying smaller OM measures.
However, it remains to be seen whether the anthropic reasons for
experiencing a universe 10^9 years and of large complexity we
currently see is necessary...
--
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A/Prof Russell Standish Phone 0425 253119 (mobile)
Mathematics
UNSW SYDNEY 2052 hpcoder.domain.name.hidden
Australia http://www.hpcoders.com.au
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Received on Wed Oct 31 2007 - 20:35:38 PDT