There are many problems with this paper. They are easy to see.

The paper claims to have shown that the partitioning of the composition of the Universe into Baryonic Matter, Dark Matter, and Dark Energy arises from geometric projections.

He then puts his finger on the balances by calculating the values of rho that would yield the "observed" universe composition.

That is called "Postulating the Conclusion: Circular Volume Partitioning".

In addition, the Landau-Lifshitz metric is debunked by astronomical observations. The universe at the farthest point observable (the surface of last scattering) is not curved.

In addition, one cannot calculate accelerations and velocities from a model that includes time.

Time is not part of the Landau-Lifshitz metric. There is no possibility of deriving dynamics from it.

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