Can you define the boundary of an 'arena"? Is the arena with some type of membrane, or is it an open system.
There is no discernible boundary. The boundary is an energy density differential. When the big crunches burst they have very high energy density which is expanding into the surrounding low energy density space.
Note that when the crunch forms, it pulls in not only the galactic material in the overlap of two expanding arenas, but it even pulls in and does not emit electromagnetic radiation during much of the crunch formation process. So the surrounding space has given up a significant amount of its energy to the crunch while at the same time the portions of the parent arenas that are not caught up in the crunch continue to move away from the newly formed center of gravity. This leaves the surrounding space around the crunch of very low energy density. The boundary of an arena is the expanding spherical wave of high energy density as it intrudes into the lower energy density around it.
It will expand until the energy density becomes equalized with that of the greater universe or until the expansion is interrupted by intersecting and overlapping with another arena.
Also what determines the placement of these arenas because if they are open systems and there are significant number of other arenas in the same locale, then I can't believe once it explodes then it wouldn't immediately overtake another nearby arena.
The determining factor in the frequency of the occurrence of arenas is the average energy density of the universe. Higher energy density makes for a higher ratio of matter to energy in the greater universe and that would make the crunches closer together.
Our expanding and accelerating arena has been going for only 13.7 billion years which is a short period of time if you ask me. I speculate that it could take much longer for a big crunch to from because of the swirling and mixing that would naturally go on as two arenas overlap. The expansion is a much more radial event (IMHO).
It would seem to me that the expansion of an exploding arena (which engulfs other arenas in the process) would cause a domino engulfment of the infinite arenas given infinite time and that would in effect leave 1 arena the size of the infinite universe which, if it went through a Big Crunch would never be able to Explode due the the infinite mass and practically infinite gravity. And there is nothing that can stop this domino engulfment and explosion that will result from just 1 arena.
I would think that it is like a domino effect taking in every single arena in the 'infinite' universe in itself while it explodes. Also if this were happening there would be many bursts of background radiation from all directions, which I don't think have ever been discovered. Since this would be so frequent in the universe (as its infinite?) then the bursts and huge variation of background radiation would be experienced-
And I do think there are bursts of energy emanating from the burst of each big crunch, but remember, the expanding sphere of energy from an arena travels at the speed of light. And the energy impact of that expanding sphere is subject to the inverse square rule. By the time such an intersection between our arena and another arena occurs the energy density of the expanding arena has been equalizing with the lower energy density of the greater universe for billions, maybe hundreds of billions or even a trillion years. It would be a rare event when an overlap of arenas occurs and I don’t envision the energy impact to be as great as you are envisioning,
The near isotropic cosmic microwave background radiation that we observe is entirely within our own arena but is is composed of the thermalized energy from our own burst plus the background energy of the greater universe that it is mixing with and equalizing with as our high energy density wave intrudes on the low energy density of the greater universe.
… and it would practically make determining the 'age' of our arena (currently known as the universe) impossible- but we have done so because there is pattern and consistency in the background radiation...
We don’t make the determination of the age of our arena based solely on the temperature of the background radiation though the measured nearly isotropic temperature of ~2.7 degrees Kelvin is consistent with the estimated fifty or a hundred billion degree hot Big Bang and the 13.7 billion year time frame. There are other factors used to determine the age of the universe as we know it.
By the way since the infinite universe is static, as you can't possibly be bigger than 'infinite' …
Yes, good point. QWC is a steady state cosmology.
… and that these explosions will engulf the surrounding arenas resulting in a bigger explosion each time (actually there should not be a explosion after a critical mass is reached in one of those big crunches). That this process will be exponential and would be occurring in infinite points of the infinite universe. I can't see this working, I would like people well versed in Physics to say something- but on a lay-man basis I simply don't see how such a 'universe' would be- of course it could exist as such but we would have overwhelming evidence of this because of the frequent explosions and on top the domino effect should take everything out in a very short period of time because the it would be exponential with the exponent being infinity!
Above I mentioned that the spacing of the crunches has to do with the average energy density of the universe. As long as the average energy density is high enough for matter to form from energy, then the factor that determines the spacing of the crunches that form is dependent on the level of energy density and the ratio of matter to energy. It is just speculation but there is no evidence within our arena that we have yet intersected with any other arenas that were close enough not to have already equalized with the energy density of the backgound of the greater universe.
You mention the explosions engulfing the surrounding arenas and that leading to bigger explosions, but that accumulative effect is defeated by the maximum limit to energy density. When a crunch forms and reaches that level of energy density it bursts into an expanding ball of energy. Since I imagine or speculate that the arenas are spaced at such great distances, when two parent arenas overlap, they do so in an otherwise pretty lonely space.
Also, I mentioned that the space surrounding the crunch is pretty much swept clean of galaxies, galactic remnants, dark matter, electromagnetic radiation, etc, leaving a wide corridor of very low energy density space surrounding the crunch by the time the maximum level of energy density is achieved and the burst occurs.
BTW, you don’t have to of course but I am interested in your view of the life on Earth and in the universe, the time frame of its origin, the particulars if you have any thoughts.