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The paper uses terminology familiar to the concept of metric expansion.
For example Z is a cosmological redshift not a doppler shift.
Getting back to my original comment if two observers in different locations measure different velocities for an object moving away in space then acceleration (or deceleration) is occurring which contradicts the point of the article.
I find it difficult how one can fit Hubble's recession velocities into this picture for a doppler shift mechanism.
Even considering a "localized" version where the Z is interpreted as a Doppler shift in our patch of the Universe doesn't help either.
Steven
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