Hello again, six years after my first 30 day session here, I believe that I have sorted out the problems with Hypersphere Cosmology, assisted by the feedback I received here, and by astronomers and mathematicians who noticed my website and gave me advice and links to more data.

The Hypersphere Cosmology model has now received over 350,000 reads but I have yet to receive any falsification, despite bringing it to the attention of Saul Perlmutter whose data I have reprocessed in an alternative scheme to yield an alternative idea to an accelerating cosmic expansion and dark energy.

In brief: - Abstract. Hypersphere Cosmology presents an alternative to the expanding universe of the standard LCDM-Big Bang model. In Hypersphere Cosmology, a universe finite and unbounded in both space and time has a small positive spacetime curvature and a form of rotation. This positive spacetime curvature appears as an acceleration A that accounts for the cosmological redshift of distant galaxies and a stereographic projection of radiant flux from distant sources that makes them appear dimmer and hence more distant. The acceleration A also accounts for the flat galactic rotation curves without dark matter.

The main paper lies here

https://www.specularium.org/hypersphere-cosmology

with links to pages of supporting mathematics

I welcome falsification, or advice on how to present it for publication in a suitable journal. I have been out of the academic environment for almost half a century. Regards, Pete.