How can existence be finite into the future in which case you say there will not be a transitional ending of existence into "nothing"? If there is time - space and then there is no time - space, this is an ending, no?
No. There is no 'then there is no time-space'. Without time, there is no 'then'. At any point where there is time, there is also space and matter/energy. There is no transition because there is nothing to transition to.
This is weird....you are interpreting my language as if I am implying I understand you to be implying a nothing existing in time...I am categorically not. Please do not continue the pedantics and answer this question, what happens to the universe when time stops which eventually must happen if the universe is finite as you claim?
In those models where this happens, the universe goes through a contraction phase where the density increases. This produces a larger gravitational field which slows down and stops time. The time coordinate cannot be extended past that point.
An analogy is the north pole. There simply is no 'north of the north pole' because of the geometry and the way north is defined. In the same way, there is no 'before the Big Bang'.
I am not asking about before the big bang, I am asking about what happens to the mass of the universe when time ends? I am now getting that the the very dense singularity does not disappear...yes?
That very dense singularity is the end of time. There is no time after that, so no disappearing. To disappear, there would have to be one time where it exists and another time where it doesn't. That is not the case.
You are trying to get a violation of the law of conservation of mass/energy. But what, precisely, does that law say? It says that the total amount of mass/energy at any two times is the same. Without there being two times, there is no violation.
At the beginning, or at the end, time itself cannot be extended past the singularity. There is no time before the Big Bang or time after the end (if such happens). Again, in these models.
What make you think "time" will stop if the universe is "finite", ben d?
From what I can understand from polymath' posts, he is giving you an explanation to the only one possible scenario out of number different scenarios for how the universe could return to the "state" of being no time.
The only way to for there being no "time" or "spacetime" is to return to the state of singularity...and that's only if the universe go through "contraction", to what cosmologists called the "Big Crunch".
The singularity is where maths, such as those found in General Relativity, break down, where spacetime cease to be relevant.
That's the case with Big Bang as how the universe began...and it could be one of the probabilities "if" the universe end the way those who predict the Big Crunch.
But this scenario is merely one possibility that "may" or "may not" happen, because at this stage, it is still theoretical and very hypothetical.
As things stand today, there are no evidences to show the universe is contracting. For the universe to contract, there must be deceleration first, then the universe should go in reverse mode - contraction instead of expansion.
If anything, the universe is still expanding, so space and time are still expanding...and the expansion of the universe seemed to be accelerating.
As astrophysicists understand it, the acceleration is caused by Dark Energy.
Because with the current evidences available to us - showing the universe is accelerating in expansion, therefore no deceleration and no contraction - then the other scenario seemed more probable and more likely, known as the Big Freeze.
The Big Freeze is the universe will continue indefinitely, perhaps forever, so spacetime will continue to exist, but all the stars and galaxies in the universe will run out of hydrogen and helium to fuse. The universe will just become ever expanding, but it would be cold and dark wasteland.
Although, the current evidences show that the universe is picking up speed in expansion, there are not enough data or evidences to say the Big Freeze is inevitable, the Big Freeze is still hypothetical and theoretical.
Polymath is only pointing out just one scenario - a scenario where no "time" could possibly happen. I don't think polymath is saying that how it will be; he is only giving you just a "possibility".