From: Mike Dougherty (msd001@gmail.com)
Date: Sat Jan 06 2007 - 10:13:13 MST
On 1/6/07, Jef Allbright <jef@jefallbright.net> wrote:
>
> Considering that the surface of a sphere increases with the square of
> the radius, while the volume increases with the cube, there seems to be
> an inherent physical constraint on the growth of any system that defines
> intentions in terms of itself.
>
> With increasing growth of "self", and proportionally diminishing surface
> area with which to interact with the "adjacent possible", it would seem
> that expansion would reach a limit and growth would necessarily become
> fractal.
does the surface area/volume analogy extend to a hypersphere? Is there any
difference in the "adjacent possible" relationships between higher
dimensional hypersurfaces and lower? If a 4d space-time is in adjacent
contact with a higher-dimensional parent only at a single point (t=0 for
example) then wouldn't the relationship imply a one-way influence? (such
that the higher dimensional parent could easily influence the life of the
lower order universe through easily randomly accesible 'starting'
conditions, while the low-order universe would appear to be predetermined at
creation)
I visualize this not as a mathemagically complex version of a simple sphere
(like a soap bubble), but as more a foam of soap bubbles inside other soap
bubbles. The 'surface area' is the soap, which may be greater than the
surface of the largest containing bubble. A point of adjacency could be
shared between several bubbles in the foam.
It might also be interesting to consider the radiation and reflection
> signature of a highly fractal body in space.
>
I would google radiation and reflection, but I doubt I will find the context
in which you are using them. Do you have a link that better describes these
terms?
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