>>If a Supernova occurs over a month or two, and if the supernova is accelerating away from us during that time the expansion interpretation says there will be an effect visible in the data of the lumonisity of the explosion over that amount of time. Based on the z of the redshift we should see it dip off in a certain way at a certain time. The paper is aruging that the data shows this is not that case, and that during a supernova those objects appear stationary.
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>>This amounts to a failed prediction of a mature scientific theory (a theory that has already failed many predictions).
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>I agree that at different speeds there would be different redshifts.
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>But I don't see any reason why the supernova should accelerate either towards us or away from us, in a significant amount. Sure, the expansion rate of the Universe is supposed to be increasing, but that would be noticeable in several million years - not in 1 or 2 months.

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.)

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.

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? 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.