Total aside and this may be too late into a crowded thread for anyone to notice this. But have physicists ever rigorously examined the idea that quantum "duality" is explained by computational complexity?
I know it's more metaphysics/interpretation, but that's what we're talking about here. I also know that universe-as-simulation is a very popular notion among laypeople (particularly programmers) who look at physics. I'm just wondering if any physicists have rigorously studied the idea, and if there are falsifiable propositions we could make about this.
In game programming, one often cannot compute every detail of every component of a simulation. So, what you often do is focus more precise computation on areas around a player, or what the player is actually observing. The rest are often modeled stochastically or via computationally efficient functions. This has always mapped well in my (very surface-level, entirely layman) understanding of QM and QFT.
Note that there are, in my mind at least, two different notions here. One is actually the concept of a simulation with observer-dependencies directing the fidelity of the simulation. The other doesn't imply a "simulation" nor is it directly dependent on any "observer": perhaps computational complexity is related to the fundamental physics of the universe and nature prefers to use imprecise probability estimates wherever possible and it is only when precise interactions need to be resolved that more precise or definite calculations are performed.
I know these are sloppy notions as presented here and I'm not taking the time to phrase these questions very well, or very precisely. Busy atm, sadly. Just wondering if any well-reputed physicists have studied this possibility rigorously, or if it has been rejected for an obvious reason, etc.
I know it's more metaphysics/interpretation, but that's what we're talking about here. I also know that universe-as-simulation is a very popular notion among laypeople (particularly programmers) who look at physics. I'm just wondering if any physicists have rigorously studied the idea, and if there are falsifiable propositions we could make about this.
In game programming, one often cannot compute every detail of every component of a simulation. So, what you often do is focus more precise computation on areas around a player, or what the player is actually observing. The rest are often modeled stochastically or via computationally efficient functions. This has always mapped well in my (very surface-level, entirely layman) understanding of QM and QFT.
Note that there are, in my mind at least, two different notions here. One is actually the concept of a simulation with observer-dependencies directing the fidelity of the simulation. The other doesn't imply a "simulation" nor is it directly dependent on any "observer": perhaps computational complexity is related to the fundamental physics of the universe and nature prefers to use imprecise probability estimates wherever possible and it is only when precise interactions need to be resolved that more precise or definite calculations are performed.
I know these are sloppy notions as presented here and I'm not taking the time to phrase these questions very well, or very precisely. Busy atm, sadly. Just wondering if any well-reputed physicists have studied this possibility rigorously, or if it has been rejected for an obvious reason, etc.