[Origin]

If the space that ''borders'' the physical Hilbert space is absence of all energy and matter ,when a gamma ray hits the  physical Hilbert space boundary , it is stopped in an instant E=mc² .

Since there is no such thing as space that is without energy or matter that is an impossible boundary. 
That idea makes as much sense as me saying if the area around the Hilbert space had a billion pixies with lead catchers mitts then the gamma rays would be stopped at the boundary.

It is rarely useful to ask a question about an impossible scenario.

[Armad (OP)]

Since there is no such thing as space that is without energy or matter that is an impossible boundary

Actually , there is the possibility of space that is absence of energy and matter . Your impossible is rather subjective and based on a finite closed universe with no external space which I find quite illogical .
Space-time is based on visible bodies and defines the distance between the observer and visible distant bodies . Space-time does not measure how far the space goes because of Olbers Paradox .

[Origin]

Actually , there is the possibility of space that is absence of energy and matter

Do you have a citation for this or is this just your belief?

Your impossible is rather subjective and based on a finite closed universe with no external space which I find quite illogical

No external space, you mean space 'outside' the universe?  I'm sorry that you find physics illogical.

[Origin]

Space-time does not measure how far the space goes because of Olbers Paradox .

No, that is not what Olbers' paradox is about.

[Kryptid]

Your impossible is rather subjective and based on a finite closed universe with no external space which I find quite illogical .

A finite, closed universe with no external space is very much possible.

[Armad (OP)]

Space-time does not measure how far the space goes because of Olbers Paradox .

No, that is not what Olbers' paradox is about.

Olbers paradox is about why the ''night sky'' appears dark . You can't measure darkness because there is nothing to see . The universes volume is based on things we can see , it isn't based on the space . Do you really think that space just ends at the location we see distant bodies ? Please provide some proof of this .


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[Armad (OP)]

Your impossible is rather subjective and based on a finite closed universe with no external space which I find quite illogical .

A finite, closed universe with no external space is very much possible.

Then why doesn't the energy in the space increase in magnitude from all the energy emitted by stars?

Tit for tat , an infinite universe is also possible . A universe is all of space and all the contents , there is no reason to think that our observable part of the universe is all there is .

[Armad (OP)]

Actually , there is the possibility of space that is absence of energy and matter

Do you have a citation for this or is this just your belief?

Your impossible is rather subjective and based on a finite closed universe with no external space which I find quite illogical

No external space, you mean space 'outside' the universe?  I'm sorry that you find physics illogical.

Space beyond our observable portion of a much bigger universe . Space that is absent of matter and energy . There is no citation for this but there is physics such as thermodynamics that can justify the claim .

[Kryptid]

Then why doesn't the energy in the space increase in magnitude from all the energy emitted by stars?

On average, energy is leaving a given volume of space about as fast as energy enters it (or at a very slightly higher rate, since the Universe is expanding).

[Armad (OP)]

Then why doesn't the energy in the space increase in magnitude from all the energy emitted by stars?

On average, energy is leaving a given volume of space about as fast as energy enters it (or at a very slightly higher rate, since the Universe is expanding).

How can energy leave a finite system when it is claimed there is no external space of the system ? Where could this energy be explained to be going if not external of the system ?

[Kryptid]

How can energy leave a finite system

I never said that it did.

when it is claimed there is no external space of the system ?

There doesn't have to be.

Where could this energy be explained to be going if not external of the system ?

I never said it was going external to the system.