On Sat, 17 Nov 12, Phillip Helbig wrote:
><
er...@flesch.org> writes:
>> They say the 1/z model has no physical analogue, but it does, just not
>> one that people are used to.
>
>And that is?
Well, as an intro, an open question is what separates the past from
the present from the future. What characterizes "now" that keeps it
separate from the past? It's something not comprised of matter or
energy, yet a fundamental aspect which perhaps can be measured only
externally, and is invariant as seen from within the universe.
Consider "scale" as one such aspect. Scale has counter-intuitive
qualities such that one sphere (drawn in a vacuum) which is twice the
width of another, has a lesser surface-area-to-volume ratio, even
though in every other way they are identical. We can calculate this,
but it fails the common-sense test.
So, seeing that scale is something with real effect, let's suppose
that scale is quantifiable and that it isn't invariant, and that in
fact it doubles per each time T0 -- thus separating the past from the
present from the future, because of the migrating scale. Internally,
it makes no difference to us whatsoever except via look back so that
at z=1 we see the universe as it was T0 ago when things look half as
large, causing the redshift because the internally-consistent C looks
to us to be travelling at half the speed then.
Such a universe is seen by us to have an edge which is exactly twice
as far away as z=1, if we had some way to apply today's scale to it.
This model conserves isotropy as all places are the same, it is only
via look-back that we see the comparative change. And because of the
scale change directly dependent on z, and the fact that all places of
high z are seen by our local eyes to be at about the same distance, it
thus follows that angular size is directly proportional to z for
sufficiently high z -- above z=2 in particular.
So there is a self-consistent model, with angular size proportional to
z, and one that people are not used to. Perhaps J.B.S.Haldane ("the
universe is queerer that we can suppose") would have liked this
model.
cheers, Eric