First, thanks for the TL. This story was fun to think about. Now I rattle on for a bit.
From my understanding, the lady was really really smart; however, she lacked creativity and only remade things that already existed. Stuff that she mentions like splitting the atomic nucleus to make energy (which iirc is just the concept of nukes (ch 1)) and the 12 note musical system (ch 2) which would be incredible breakthroughs in science and arts.
In ch 3 she goes to the mountains and discovers the church where she hears the organ; inspired by it, she accidentally completely copies that religion's entire scripture. This finishes her, and she dedicates the rest of her life '...to silently recover something today that yesterday someone lost without knowing it.' (ch 4). She dies, and people visit only to find out that she only left copies of existing information.
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This one was relatable to me. As a dude who likes making music, I struggle with writing my own things. I end up accidentally recreating songs that already exist all the time, and it really knocks you down to think you made a beautiful melody nobody's heard before only to realize it's Darude Sandstorm.
At some points I thought the lady was God on Earth there to spread knowledge, but that idea fell apart when she ended up not doing anything. It's still possible, and maybe a reflection of humanity's knowledge surpassing God's intentions... Or I'm overthinking it. The curtains are blue.
You might find luck in producing a mathematical formula/algorithm for scoring any noise on its originality (you need it to somehow compress - and compare to - all existing noises, so the main issue is collecting and labeling all of that data), then use this to train yourself to not create anything with a low score.
You need to ensure it doesn't only consider stuff like the timing/order of notes, and the like. Because speeding up or slowing down a song should not be considered making an original noise. Similarly, white noise is always unoriginal, despite there being near infinite variations of it. So it needs to also look at a more holistic view of the noise, such as statistical analysis of the frequencies to identify different colors of noise.
I think such a value function would be complex enough (how do you rigorously define originality?), that the only way to realistically achieve it, is to make it be an AI you teach - but you can't teach it directly/alone as that introduces biases, so even that is near impossible.
Either way, let's pretend you created this black box, you now are faced with the struggle of teaching yourself to do originality. Humans are not good at this, as we grew up in a world where not following teachings from others easily leads to death (like if you decide to jump off a cliff). So I suggest you then further take this value-function, and create a (secondary?) AI that generates noise. And teach it to always achieve high scores on this originality-function (remember to add the new noise it generates to the dataset the value-function uses! Or it might simply start to continuously generate the same thing all the time). Basically, you need to create a generative AI.
Then you can run this AI, to produce all the original noises we still haven't produced. Achieving our ultimate goal:
ensuring all other "dudes who likes making music" are forcefully made to empathize with you! mwahaha!
ps: the above won't actually work (unless you intend to retrain it all each time you want to generate something), simply because even if you train an ai to be original, the self-referential paradox means that it will start mimicking itself. To avoid that, you somehow need to create some sort of feedback into the system that biases it away from its past works. But even then, there is no guarantee it won't simply be finite in the number of original works it can create, and that after X iterations it will simply stop being useful.