There should be an expansion rate of the universe that is much greater than H0 logically when the expansion rate of the universe reaches the speed of light, so what should be the value of this new expansion rate?
It is intriguing that the expansion of the universe at great distances from us can occur faster than the speed of light. I looked into this further with the help of AI (ChatGPT). In short, the entire universe could only expand at a rate equal to or exceeding the speed of light when it is (or was) extremely small. Therefore this would only be possible during the Planck time, the earliest moment in the universe's history. At that point, the expansion rate (the Hubble parameter H) would have been extremely high and far greater than it is today. AI gives also numerical answers, if needed.
According to my theory for ultimate physics, an expansion rate equivalent to an expansion velocity equal to the speed of light occurs inside protons and neutrons. This phenomenon must be related to quantum gravity. In quantum gravity, the strong force must be exactly equal to the nuclear force. A relativistic space-time effect of this magnitude must be present within protons and neutrons, such as a black hole.