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Indeed, space/time is finite as the cosmic microwave background radiation measurements have confirmed from the 1960's forward. Those CMB measurements show the universe is expanding (and accelerating, BTW) which means there was a beginning of real space and real time.
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So...... eternity is NOT Possible.?..

because if eternity future is possible eternity PAST must also be possible..

AND if eternity past is possible... there might not have been a beginning..

There are ramifications to everything.. that is to say.. "EXPANDING" might be the "wrong word" for whats goin' on..

Maybe; revolving, speeding up, dimension shift, or "something else"...

...because if eternity future is possible eternity PAST must also be possible..

Still, it seems that "eternity," by definition, cannot be measured in terms of "past" and "future." So what, exactly, are you trying to "measure" here? A fleeting "present?" How does one "measure" that which is "fleeting?"

Guess we need to consult Zeno on that "paradox!"

Hope all is well with you, my dear brother. Please say "HI!" to H. (assuming he's still on the scene....) May Christ's love and light and grace be with you!

Thank you for sharing your insights and concerns, dear hosepipe!

In my view, we should consider the word "timeless" when thinking of God the Creator and "no counting" when thinking of eternity.

Some might be more comfortable calling it a "universal now."

Consider the photon, it travels a "null path" - for the photon no time elapses though certainly observers of the photon (from their reference frame) sense time passing while observing the photon. The photon is in a universal now or a no counting of time. The observers are not.

Likewise, when thinking in terms of universal nows or no counting of time - past, present and future are meaningless. Everything is now.

Space/time on the other hand is a continuum. It is relentlessly physical. There was a beginning of real space and real time and no matter how far one moves the goal post to prior universes, there is always a beginning of real space and real time. That is the poison pill to physical cosmologies except of course for Tegmark's Level IV which is radical Platonism.

Another interesting point is that physical cosmologists presuppose that the physical laws/constants of this universe would apply to prior ones. That is wishful thinking.

Also there is the issue of origin of physical causation per se and inertia for that matter - not to mention space, time and energy.