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The uncertainty principle does NOT apply to LLMs and absolutely, unquestionably does NOT apply to my alternating algorithm. You need to understand the difference between "I don't know" and "It's unknowable".
It most certainly does. Do you think that you know the position and state of all the electrons in a computer when a program is executing? It's unknowable, and checking the status collapses the superposition, changing the measurement. It's no different from the status of the synapses in our brains. Even your simple "Hi" vs "Hello" program has a non-zero probability of outputting neither, or both expected outputs.
I think that the position and state of every single electron is mostly irrelevant. My alternating greeting can be made with a paper having one side written each greeting and flipping it every time, you also don't need to know the state of every subatomic particle there, even though there is a possibility that every single electron in that piece of paper suddenly moves away and the vacuum in electrical charge causes a rush of electricity that vaporizes the whole room.... Yeah it's possible, but you're a dumbass if you think that possibility is worth calculating.
The same is true for a computer, and again you're mixing up "I can't possibly know that" with "it's unknowable". Knowing the electrical charge at each position of the computer is knowable, knowing the electrical charge at each position of a brain is also knowable, but while knowing that information on a computer allows you to predict its outcome, the same is not true for a brain.
You sound quite sure of yourself, but I believe you are mistaken. The state of the electrons does indeed matter when a program is executing.
What makes you think that we will never be able to predict the outcome of a brain it we had the same knowledge of it as we did of a comparable neural network? You'd have to be a dumbass if you think that the medium matters in knowability of a system. Whether biological or mechanical, every state is possible until it's measured, and once it is, you can determine exactly how it will function for a short period of time. Complexity does not make something unknowable, only complex, and therefore difficult to know.
Unlike the position and state of subatomic particles in any system, including that of the host of an LLM, which are unknowable.