Jim Kelley wrote:
If the second were "smaller", then light could obviously no longer
travel 3x10^8 of our meters in one of them.

It is the frequency that is red-shifted, not the
velocity. A shorter second results in a lower
frequency. Relativity won't allow the velocity
of light to change but everything else changes
including meters and seconds.
--
73, Cecil http://www.w5dxp.com