...the problem is caused by breaking up the analogue signal into billions of tiny fragments that cannot be correctly reassembled ... It would seem no-one can solve this - the issue is 40 years old and there is no solution in sight ...
That is not at all how digital audio works. There’s "no solution in sight" because the analog signal is not broken up "into billions of tiny fragments."
The basis of digital audio is the Fourier Transform. The theorem that makes digital audio work is the same math that describes how analog audio works. Believe it or not.
Here’s a video that actually demonstrates this.

