ok.
Expanding space = coordinate system, ok?
No,
expanding space is the increase of the metric of a coordinate system. The metric of a coordinate system does not have to be increasing so the assertion "Expanding space = coordinate system" is incorrect.
As the old saying goes "All poodles are dogs but not all dogs are poodles".
if so, what kind of system is coordinate system or expanding coordinate system?
A coordinate system is a system of ordering (like ordinal numbers) locations in a physical or mathematical space. One example is the number line where both the ordinal (ordering) and cardinal (counting) aspects of numbers are used to designate locations along the line.
http://en.wikipedia.org/wiki/Number_line
http://en.wikipedia.org/wiki/Ordinal_number
http://en.wikipedia.org/wiki/Cardinal_number
In an expanding coordinate system the metric (how distance is measured in that system) increases.
I think you might be using the phrase "what kind of system" to mean 'how does it', 'how does it work' or 'why does it happen'. If that is the case you would be better off asking one of those questions since if you just ask "what kind of system" the answer will simply be to name, well, the system involved.
what happening for expanding coordinate system when is expanding?
The metric or how distances are measured gets larger. In simper terms it means stuff gets further apart. In a cosmological application it means that objects that aren't at least gravitationally bound get further apart
What kind of system is space which metric grid grow / what kind of system is expanding space?
Again it is a coordinate system. Again if you really want to ask a different question then you need to ask something other than "What kind of system"
you already know that expanding space dont expanding to the outside to place which already exist?
Yes, that would be a different kind of expansion as the metric of the space need not change, at least the way I read your question.
so, it is different kind of expanding what expanding to the outside is, you know?
which way it is different? Thats what i like to know!
do you know?
if you know, lets tell me, please!
Well the difference is the in an expanding coordinate system the metric or how distances are measured changes. With just simple expansion, say like in thermal expansion you mentioned before, the metric of the coordinate system can remain the same while the objet itself expanded.
is expanding space something like matter? You know matter density and size can changing "in" space which already exist!
It can be, which is to say the coordinate system can be related to aspects of a material object. At one time I think the standard definition of a meter was the length of some reference piece of platinum. However, currently the definition of a meter is now tied to how far light travels in a set interval of time.
do space have a own density, like matter have?
As far as a physical space goes, none that anyone has been able to detect. A mathematical space is just the limits of some set. To keep the definition of space (physically and mathematically) consent if there were to be found some density in space-time it would be considered as something in space-time and not a density of the coordinate system itself.
do space have a size, like matter have?
In the physical application of space a finite volume of space has a size represented by that volume. In the mathematical application of "space" a set has a size represented by its cardinality.
Again it is a change in the metric of a coordinate system.
what space which is coordinate system is?
I'm sorry I don't understand the question? However, if I recall correctly the metric for the expanding of the cosmos is in a comoving reference frame.
http://en.wikipedia.org/wiki/Proper_frame
Matter is something real and we can make science test with matter, you know!
Space-time is something real as well and while it doesn't have density it does have other physical properties.
http://en.wikipedia.org/wiki/Vacuum_permittivity
http://en.wikipedia.org/wiki/Vacuum_permeability
can we make science test with expanding space?
Yes.
can you put expanding space to CERN and can you pushing expanding space to moving fast or can you doing with expanding space anything at all?
No, but we can't put a star, a galaxy or galaxy cluster "to CERN" either. Still that doesn't stop us from conducting experiments observing such large scale objects.
or can you just believe, there somewhere is expanding space / some magic coordinate system / ? / something what nobody cant explain?
Again, belief is not a relevant factor.
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