Error in Boltzman brains theory is that he assumes that universe with brains randomly fluctuated into existance into its current form , and concludes that this form is more complex than just brain and therefore brains without environments are more common (maybe iPhones or Bible are even more common then), and assumes that brain can exist without environment.
also second law of thermodynamics states that resulting entropy would never be decreased. and doesnt tells us about entrophy dynamics in intermediate steps.
iPhones or Bibles probably are more common. And an isolated brain without an environment really is much more likely than a brain and body and environment, at least if we're talking about random fluctuations rather than structures created as a consequence of the the availability of useful energy in the environment.
If you think about it in terms of the Canonical Ensemble the regions of states that correspond to "a brain and body" are obviously a small subset of the regions that correspond to "a brain". The incompressability of phase space means that this translates directly to the world being less likely to wander into those smaller regions via random fluctuations in direct proportion to their size.
In the end, the second law of thermodynamics is only a (very strong) statistical likelihood. If you mix some salt water and fresh water, then wait long enough you'll eventually find all the salt in one side of the glass (in time proportional to 2^N where N is the number of salt ions). Its not something written into the fabric of the universe directly, but a consequence of more fundamental laws and if you take Statistical Mechanics in college you'll get to re-derive it and see why it works that way. In fact, I'd really recommend taking a Stat Mech class to anyone considering it, it was probably the most interesting class I took in college.
This is simply not possible (maybe in star trek), because self-aware brain requires certain kind of environment to exist into. so if there is brain there is organized environment. probability that boltzman brain exist is 0%. probability that self-aware brain in an orginized environment exists : 100%
probability that Bible exists in a some unimaginable place far far away: unknown.
Anyway what is the point of this (Boltzman brain paradox)? (or point that was supposed to be?)
Brains, per se, don't require any sort of environment. If your head was somehow teleported into interstellar space it would take tens of milliseconds for the nerve impulses indicating that everything was not all right to be acquired and processed, and your consciousness would probably last for seconds beyond that.
The horror of the Boltzman Brain idea is that the vast majority of the conscious beings that will ever exist will be created in environments that cannot support them, and will promptly go insane and/or die.
Still this paradox is too detached from reality, maybe for its time it was smart. How can we know what is the chance of universe create brain and how many brains there will be per universe? How can we know that universe fluctuation is less likely than brain fluctuation? without this numbers we know nothing.
Universe filled with many brains fluctuation can be more simple than brain fluctuation. Fluctuations may also happen in environment that doesn't even have atoms that are needed for brain , but will have atoms that are needed for universe. Maybe this atoms needed for brain can only be created by universe fluctuation.
If we assume all this unknowns and create our imaginary universe yes there can be more brains in it than universes.
Yes, and such strange happenstance that all the human brains we've found so far have been in humans. We must be incredibly lucky to have picked this universe at odds of 1 in infinity where no human brains are suffering bodiless in space.
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Error in Boltzman brains theory is that he assumes that universe with brains randomly fluctuated into existance into its current form , and concludes that this form is more complex than just brain and therefore brains without environments are more common (maybe iPhones or Bible are even more common then), and assumes that brain can exist without environment. also second law of thermodynamics states that resulting entropy would never be decreased. and doesnt tells us about entrophy dynamics in intermediate steps.
So... what your saying is that my master thesis won't write itself by some random fluctuations after all? I might have to alter my strategy.
Sure it will. You might have to turn it in late, though.
iPhones or Bibles probably are more common. And an isolated brain without an environment really is much more likely than a brain and body and environment, at least if we're talking about random fluctuations rather than structures created as a consequence of the the availability of useful energy in the environment.
If you think about it in terms of the Canonical Ensemble the regions of states that correspond to "a brain and body" are obviously a small subset of the regions that correspond to "a brain". The incompressability of phase space means that this translates directly to the world being less likely to wander into those smaller regions via random fluctuations in direct proportion to their size.
In the end, the second law of thermodynamics is only a (very strong) statistical likelihood. If you mix some salt water and fresh water, then wait long enough you'll eventually find all the salt in one side of the glass (in time proportional to 2^N where N is the number of salt ions). Its not something written into the fabric of the universe directly, but a consequence of more fundamental laws and if you take Statistical Mechanics in college you'll get to re-derive it and see why it works that way. In fact, I'd really recommend taking a Stat Mech class to anyone considering it, it was probably the most interesting class I took in college.
This is simply not possible (maybe in star trek), because self-aware brain requires certain kind of environment to exist into. so if there is brain there is organized environment. probability that boltzman brain exist is 0%. probability that self-aware brain in an orginized environment exists : 100% probability that Bible exists in a some unimaginable place far far away: unknown.
Anyway what is the point of this (Boltzman brain paradox)? (or point that was supposed to be?)
Brains, per se, don't require any sort of environment. If your head was somehow teleported into interstellar space it would take tens of milliseconds for the nerve impulses indicating that everything was not all right to be acquired and processed, and your consciousness would probably last for seconds beyond that.
The horror of the Boltzman Brain idea is that the vast majority of the conscious beings that will ever exist will be created in environments that cannot support them, and will promptly go insane and/or die.
Still this paradox is too detached from reality, maybe for its time it was smart. How can we know what is the chance of universe create brain and how many brains there will be per universe? How can we know that universe fluctuation is less likely than brain fluctuation? without this numbers we know nothing.
Universe filled with many brains fluctuation can be more simple than brain fluctuation. Fluctuations may also happen in environment that doesn't even have atoms that are needed for brain , but will have atoms that are needed for universe. Maybe this atoms needed for brain can only be created by universe fluctuation.
If we assume all this unknowns and create our imaginary universe yes there can be more brains in it than universes.
Yes, and such strange happenstance that all the human brains we've found so far have been in humans. We must be incredibly lucky to have picked this universe at odds of 1 in infinity where no human brains are suffering bodiless in space.