[fnordpiglet]

I don’t think you guys are tackling this right. You can observe the stick breaking to absurd precision, even using an electron tunneling microscope, and produce immense amounts of data about the sticks state at every point in the breaking and afterwards faster than a computer can simulate breaking the stick. The key is the stick breaking and it’s observation at any level of detail happens in parallel with all aspects of the system coherently acting in real time simultaneously in a way with perfect effects and transmission of information between all quantum parts of the system at the speed of light. The computer on the other hand is operating in a binary encoding Turing machine forced to rely on imperfect relatively serial (compared to the parallelism of reality) with encodings that and algorithmic mathematical models that produce encodings that are similar to what reality produces naturally. The issue is the layers of abstraction, nor the measurement and detail of the system. All the measurable information about the stick and it’s breaking is available and measurable with no impact on the time it takes to break the stick.

Here’s perhaps a more clear example. The universe influences itself at a distance with all bodies acting on all other bodies at once. This is a classical nbody problem where n->inf. We can measure quite easily these effects without perturbing the system, which would not be able to progress a single iteration in the entire span of the universe if simulated by a computer.

[ithkuil]

But the comparison is not fair.

Yes the electron microscope can image a lot of details "in parallel" but not all details from all angles, all internal microfractures. You can't easily measure all temperature gradients in all cubic nanometers of the material etc etc.

The simulation is slow because it works at that level and thus as a side effect will also give you that output.

Obviously if you don't need all that information you may find another route to arrive at the results you want

[fnordpiglet]

You could though, it’s entirely fair. All information about the system is available for measurement down to the quantum level across all dimensions, because it’s a perfect fidelity to reality. Regardless of whatever specific tool you choose, in theory I could build tools that measure in near infinite detail the stick. I could not however build a computer that could calculate that detail of the stick with perfect fidelity to reality. It’s a gross approximation no matter what you do. I would however point out that my nbody example is entirely analogous and is perhaps more tractable as to why it’s impossible to compare measuring reality to calculating a simulation. Simulations have the advantage that you can reproduce and tweak it repeatedly without having to configure the universe in a specific way every time. You can hold variables constant, you can change the laws of nature, you can simplify complexities to narrow in on a specific behavior. But simulations are never a replacement for measurement of reality, and the reason is the opposite of what you’re holding out. Reality can be measured to an arbitrary level of complexity literally in real time, even systems that are so complex we can’t consider possibly simulating even approximations of the system.