Space is a functional entity, envisaged by rational beings, whenever they think of real entities. It is an imaginary, form-less container of matter-bodies. Space can become a real entity, only when it is filled with a medium made of real matter. This medium has definite structure and constituents. It extends to infinity in all directions. 'Extents to infinity' means that 3D matter-bodies can be found however far an observer go. See http://vixra.org/abs/1007.0042
Maybe we should stop insisting on imagining things in all circumstances - our brains are not, as previously believed, made "in God's image", but are evolved through haphazard and painstaking evolutionary processes, mainly natural selection and genetic drift. Thus, they are not in any way "intended" to comprehend deep structure of Nature - if we can do it, it's just a lucky bonus, but should not expect it to work in all cases.
Obviously, all cases in which infinity appears are essentially alien to our cognitive processes. After all, they most probably developed under the influence of problems such as "is there a tiger in this cave?" "how could I hunt a bear?", etc. not deep puzzles of science and philosophy.
Infinity is just as the term indicates, boundless, borderless. Infinite space is boundless, borderless and eternal. The "Macro-cosmos" is boundless, borderless and eternal a combination of space and energy in its multiple forms.
I am almost agreed with each of you. I am ready to repeat the sentence by Ivan Grosz “The "Macro-cosmos" is boundless, borderless and eternal a combination of space and energy in its multiple forms.” As I think, just this thought or a very close one is expressed mathematically in our equation
E = mc2 = vc1, (1)
where v is the Space volume and c1 is a constant; c and c1 are constant over free Space, but each of them has different values over different galaxies and stellar systems.
Einstein stated that, c is the light speed; we state that c and c1 are specific for each galaxy and each stellar system. (I address you to the question by E. Kadyshevich at the ResearchGate site by the address https://www.researchgate.net/post/Einsteins_relativity_what_is_eternal_questionable_and_erroneous_in_the_starting_points_of_the_theory_and_in_the_subsequent_conclusions_from_it ) I propose to say that Space is as endless as it is accessible for our mind. May be, such an approach take away the paradox by Johannes Schmid. I understand his reason, but, at the same time, I think that we should argue in the context of Milan Cirkovic’s statement. Otherwise, we are in a trap. I wrote repeatedly at the RG site and in our publications that the concept of Big Bang failed, and I don’t want to repeat my arguments. I think that only one alternative is possible: everything is made from nothing, this nothing is Space, and this nothing is everything because it is mass/energy of a low potential. And mass-to-matter transformation proceeds in stars. We describe in detail these hypothetical processes up to the Solar System formation and the future solar radiation zone explosion. I think that the conservation laws are eternal and this statement would be realized only under the obligatory condition of eternity and infinity of Space; therewith, we note that Universe and Space are not the same; namely, Universe is created by Nature or G-d (as you desire) within Space and it can increase (and decrease) in its volume.
I think that the combination of our PFO-CFO- and LOH- Theories will become the widely distributed if not conventional ones because, in my opinion, they are scientifically grounded and, might think, the only possible scientifically grounded ones and it so fell out that they aren’t in conflict with the principal creeds either of materialists or of idealists as applied to two principal philosophic problems.
(1) According to the PFO-CFO Theory, everything was created from Space, i.e., from nothing, from the empty, and this corresponds to the most ancient sacred Books and legends; but then, according to this theory, Space represents the mass/energy of a low potential, a mass/energy field, and this statement corresponds to the experimental facts which are fixed in the SR and according to which mass and energy are two manifestations of the same substance; this theory rejects the notion of Big Bang with its fantastic parameters and doesn’t require the so-called dark matter, which have been spotted fruitlessly for many decades.
(2) According to the LOH-Theory, people originated by no means as a result of a slow evolution from microorganisms through fishes, amphibian, birds, reptiles, mammalian, monkeys, and all the jazz, but apparently, as a separate species which transformed in time depending on the environment conditions; and this statement corresponds to the ancient Books and legends as well; but then, the LOH-Theory corresponds to the numerous scientific studies in the fields of physical chemistry, paleontology, biology, and even biogeology, is the result of generalization of these studies, and bears on real experimental and observational scientific results.
We would be happy to fill up, as fully as possible, a chasm between the strong believers and strong materialists but, when going by the way to these conclusions, we were guided not by a preconceived notion but by experimental and observational information and scientific logic, in line with our understanding of them, and our conclusions are unexpected for us to the same extent as for our readers.
Our study led us to one more nontrivial conclusion, which was described by us in 2015 (see RG, PFO-CFO Theory) and presented at the ISARD-2015. The creations (by Nature or by G-d, as you like) proceeded (for a conjectured observer at the Earth) repeatedly, and each one had included all or almost all similar steps, because the solar radiation zone had, repeatedly in the Sun history, undergone explosions fatal to the Earth’s beings; therewith, the next explosion will be not over the gigayears but much earlier. Meanwhile, the ancient written monuments of the American Indians describe several fatal solar phenomena in distant past and today paleontologists discovered a great number of mysterious quick mass extinctions in the Earth’s history.
I know no coherent scientific arguments against our theories, in spite of the fact that we have developed them in scientific literature for 15 years and presented at many tens of physical, chemical, biological, astrophysical, geological, and specialized international scientific conferences. The LOH-Theory has received further development in our theories of mitosis and replication (MRH Hypothesis) and led to new approaches to the problems of species origin and diversity, optimal nutrition, and life prolongation; the PFO-CFO Theory not only explains numerous past and present events and processes in Universe but also forecasts the coming events at the Sun and in the Solar System, including the inauspicious ones. Almost all our works are available in my pages at the ResearchGate site
I had a teacher in the past who evoked this theory and he said:
-if the universe was finite very far stars will illuminate each dark point of the space but its not the case we have milliard shining stars (alive and dead stars) in a dark universe surrounding us
-so the universe is infinite and very huge to our rudimentary human vision
so the universe is very huge and at the same time limited as a tiny creation in all God creations
The Day when We will fold the heaven like the folding of a [written] sheet for the records. As We began the first creation, We will repeat it. [That is] a promise binding upon Us. Indeed, We will do it.