Physical space is infinite
There could be an infinite physical space of which we know only a
finite part.
So far, mathematics have been applied successfully to physics,
remain, among other theories, the actual infinite of set theory.
We already assumed that time could be infinite in "An idea about
time in cosmology" in ASL Annual Meeting 2004.
We also assumed an infinite number of locations in "About space and
time of elementary particles" in ASL Annual Meeting 2005.
We assumed that physical space is Dedekind infinite, which is some
model to explain things such as the movements of particles.
The energy-matter does not have to be infinite and because of the
Big Bang, I can see no way it can be, but what is around
energy-matter could be infinite.
I think we went from no space in the Big Bang to an infinite
physical space.
AS we find further and further part of the physical space, we can
assume reasonably that we will go on doing so.
In such a case, only the brain could see the whole physical space
and neither the eyes nor devices.
Space can exist without matter, as empty space can be obtained in
laboratories.
Does that really fit the physical space to use a mathematical
infinite universe ?
A finite physical space would have a boundary with no space and
no space would be surrounding space.
But in "About space being not a continuum" in Logic Colloquium
2005, we have seen that no space (the void set) can be reached only
in an infinite number of steps, at the level of the elementary
particles.
Thus, physical space is infinite at the level of the elementary
particles and therefore at our level.
Except for a finite part, physical space is completely empty.
Adib Ben Jebara.
