On 9/14/2024 12:30 AM, Alan Grayson wrote:
But it's not a property of an expanding sphere without the
condition that the expansion has a constant proportional rate; so
the relative distances keep the same proportions. The further
away something is the faster it is moving away. That's why your
first assumption ds/dt=const gives a result inconsistent with
Hubble's law, it doesn't keep theta constant for every point.
Brent
I never assumed ds/dt = const. Rather I calculated ds/dt and found it
not surprisingly positive, which I concluded was insufficient to show
ds/dt would eventually be > c. AG
Hubble's law or something equivalent is necessary to give more
definition to the problem. The balloon model does the same as Hubble's
law; it posits that the expansion preserves proportions, i.e. if
s=>s+ds then n*s=>n*s +n*ds.
Brent
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