Boltzmann Brain Formation
There is an argument that given infinite time and a suitable universe, the formation of Boltzmann Brains is inevitable. The argument is that with infinite time, everything that can happen, will happen. A counter argument:
- Everything that can happen, will happen
- Formation of a Boltzmann brain incredibly unlikely
- Much more likely to occur is an event that makes other events impossible
- For example with a universe like ours, a heat death would make Boltzmann brains impossible.
So with infinite time, the further you go back in time, the more is possible and the further forward in time, the less is possible. Does that make sense? No because infinite time does not make sense.
So it’s safe to rule out Boltzmann Brains?
- Everything that can happen, will happen
- Formation of a Boltzmann brain incredibly unlikely
- Much more likely to occur is an event that makes other events impossible
- For example with a universe like ours, a heat death would make Boltzmann brains impossible.
So with infinite time, the further you go back in time, the more is possible and the further forward in time, the less is possible. Does that make sense? No because infinite time does not make sense.
So it’s safe to rule out Boltzmann Brains?
Comments (6)
The problem with infinity: No matter which point on the time-line, there has always been an infinitely long period before that.
- Things that are impossible can’t become possible
- Things that are possible can become impossible
- So the probability space shrinks with time
- So infinite time does not make everything possible
But this is rather beside the point anyway, because the Boltzmann brain scenario gets most of its probabilistic resources not from infinite time but from infinite space.
Infinite space does not matter because then the Boltzmann brains are almost infinitely far away from us so they cannot effect us.
We needed infinite time to produce local Boltzmann brains which is impossible as shown above.
Anything that can happen will happen is wrong - at least when you take into account the event horiqzon.
I do not know that any satisfactory experiments could be made to detect such a universe. As our Boltzmann Brain is an unfalsifiable axiom, is it not better that we bolster that which can be reasonably proven or discarded? Scientific inquiry requires observation and evidence. Other unfalsifiable claims, such as the existence of a deity, and other noumenon, create the same hazard of illogic.
However, I have relatively little knowledge of the Boltzmann problems, nor what paradoxes they might overcome. Is it possible that, with infinite time, everything can occur? How should we define all possibilities, and according to what laws? While this universe consists of time and space, what of other possible fabrics in which other events might occur, although events seem to necessitate the presence of spacetime? Are there states other than existence and nil? While these questions deviate from Boltzmann speculation, I find it exceedingly difficult to contemplate all possibilities without questioning the nature of possibility or being.
How do you come to this conclusion?
Boltzmann brain:
1. A brain is a low entropy state
2. Entropy always increases
3. It is NOT impossible for a system to assemble into a low entropy state BUT this is extremely unlikely
4. Given enough time every possible state of matter will actualize (despite near-zero probabilities)
Therefore
5. Boltzmann brains are possible
6. Boltzmann brains are simpler states of matter than human beings
Therefore
7. Boltzmann brains are more likely than human beings
Therefore
8. The most common conscious beings in the universe are Boltzmann brains