Boltzmann Brains Vs. Maxwell's Demon

[Conjurer]

Pretend that Maxwell's Demon got his hands on a time machine.  He could alter any number of gates between two separate systems stacked on top of each other through time.  He notices that the top system is caught in a time loop that is different from the bottom system.  Each time the time loop happens, different information ends up dropping into the bottom system when the timeline branches into a different one below it. 

Maxwell's Demon ended up getting the time machine in the bottom system, and then he has to restore it to always remain the same in order to insure that he is in the same timeline where he got his hands on a time machine.  He also discovers that he can create any type of system he wants from branching off the timelines in the bottom system and shoving parts or sections of it into his own bottom system.  He also has the ability to change any interaction between particles in both systems.  

Each time he opens a gate to transfer information from the top or bottom system, he notices that the information to preserve all time loops is stored in a Boltzmann Brains.  The Boltzmann Brains are then capable of changing each system in just a way that all grandfather paradox's are avoided, and each time loop is then preserved by the Boltzmann Brains manipulating a situation in any way they can change anything with their minds in order to preserve every time loop.  Each time a time loop is completely removed from a system, the Boltzmann Brain will then only give Maxwell's Demon the information needed, so he could have always have still removed the time loop giving him troubles.

Could Maxwell's Demon ever defeat these temporal Boltzmann Brains?  Could he ever successfully change the top system, so it is exactly the same as the bottom system he gained his time machine in, so he never has Boltzmann Brains changing the system he was from ever again?  If he was successful, how many different systems could he stack before he ended up angering another Maxwell's Demon that got a time machine in a system below his with different time loops?

[Keith Palmer]

Open ended tesseracting or the apothetical qualitative intermediate equivalency there of heck maybe 14 the dimensional space is actually what your claiming boltzman was responsible of adhering the superlative adjuncture there of

 

No no no 14-3.14÷ 1.16* 2.41

 

What is  is 14÷2 is 7 just qualitative deregion or did I leave off a variation for you

[Conjurer]

12 hours ago, Keith Palmer said:

Open ended tesseracting or the apothetical qualitative intermediate equivalency there of heck maybe 14 the dimensional space is actually what your claiming boltzman was responsible of adhering the superlative adjuncture there of

Traditional Boltzmann Brains would be limited to each system, but the closed timelike looped Boltzmann Brains could store information from across any number of connected systems.

[Keith Palmer]

Lol =)