>There would not be significant time dialation in galaxies that we'd consider neighbors, that is correct. But you have to remember that there are galaxies VERY far away that SEVERELY redshift and moving EXTREMELY fast. The supernova of these galaxies should demonstrate some of these effects. And indeed, based on current models (not observations) they have been able to calculate the time dialation involved. At first, the collected data seemed to support this, and it was widely used as definitive evidence that the universe was expanding. (Again, see http://www.astro.ucla.edu/~wright/tiredlit.htm and you'll notice non-inflationary models are dismissed based on this evidence.)
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>But Jensen's paper appears to demonstrate that with newer and more accurate data that if it is interpreted correctly, this data simply defies what is predicted by the Big Bang.

I very much doubt - but can't say for sure - that current measurements are accurate enough to notice a change in the Doppler Effect within a one-month period, due to the fact that the expansion rate of the Universe is either increasing or decreasing. A quick estimate indicates that this change would be much less than one part in a billion.

>Here's another good point made by his paper. You stated in another message that acceleration appears to be speeding up. Isn't it predicted by the Big Bang that its supposed to be slowing down?

That's one of the mysteries of modern cosmology... Scientists talk about a mysterious "dark energy" that is supposed to be repulsive, but I don't think that a definitive consensus has been reached yet.

> More to the point, it appears to be speeding up only in this era. The Copernican Principle that any observations that make our frame of reference (whether our planet, our solar system, our galaxy, or in fact our era) appear to be special in the universe can most likely be explained in some other more satisfying way. A non-inflationary steady-state model appears to be more statisfactory in this and many other ways.

Galaxies that are close-by are nearer to the present; galaxies that are farther away are older. I see nothing unsatisfactory about this, or about the assumption that there are changes in the Universe.

The basic laws of nature might still be the same, in the distant past and in the present - although even this has been questioned by some (like, the Gravitational Constant might not be constant after all, but change over time).