That’s not how it works in QM. It comes out as squared amplitudes because they’re orthogonal. If you had them in one dimension as described, it would be linear.
You need to read the immediate context of your quote. The previous 5 paragraphs to be precise. The quote in question is not talking about the one dimensional splitting. They have discovered actual quantum mechanics now and are talking about how much easier it is for them to understand because they at least understand splitting already.
In the followup chapter, you e.g. get the following hypothetical:
“Why not just let the ‘degree of existence’ be a complex number, while you’re at it?”
Bo’ma rolls his eyes. “Please stop mocking me. I can’t even imagine any possible experimental evidence which would point in the direction of that conclusion. You’d need a case where two events that were real in opposite directions canceled each other out.”
Which hypothetical is actually a reference to an element of real QM—as the amplitudes of configurations are indeed complex numbers, and can indeed cancel each other other. (if I’m not mistaken)
“And we also discovered,” continues Po’mi, “that our very planet of Ebbore, including all the people on it, has a four-dimensional thickness, and is constantly fissioning along that thickness, just as our brains do.
This is very different from our quantum mechanics, in precisely the fashion described. I stand by my claim that they would experience linear dependence.
You need to read the immediate context of your quote. The previous 5 paragraphs to be precise. The quote in question is not talking about the one dimensional splitting. They have discovered actual quantum mechanics now and are talking about how much easier it is for them to understand because they at least understand splitting already.
It’s not quantum mechanics, it’s just an analogy.
In the followup chapter, you e.g. get the following hypothetical:
Which hypothetical is actually a reference to an element of real QM—as the amplitudes of configurations are indeed complex numbers, and can indeed cancel each other other. (if I’m not mistaken)
This is very different from our quantum mechanics, in precisely the fashion described. I stand by my claim that they would experience linear dependence.