Researchers Devise a Way To Generate Provably Random Numbers Using Quantum Mechanics (newatlas.com)
No random number generator you've ever used is truly, provably random. Until now, that is. Researchers have used an experiment developed to test quantum mechanics to generate demonstrably random numbers, which could come in handy for encryption. From a report: The method uses photons to generate a string of random ones and zeros, and leans on the laws of physics to prove that these strings are truly random, rather than merely posing as random. The researchers say their work could improve digital security and cryptography. The challenge for existing random number generators is not only creating truly random numbers, but proving that those numbers are random. "It's hard to guarantee that a given classical source is really unpredictable," says Peter Bierhorst, a mathematician at the National Institute of Standards and Technology (NIST), where this research took place. "Our quantum source and protocol is like a fail-safe. We're sure that no one can predict our numbers." For example, random number algorithms often rely on a source of data which may ultimately prove predictable, such as atmospheric noise. And however complex the algorithm, it's still applying consistent rules. Despite these potential imperfections, these methods are relied on in the day-to-day encryption of data. This team's method, however, makes use of the properties of quantum mechanics, or what Einstein described as "spooky action at a distance." Further reading: Wired, LiveScience, and CNET.
I would have thought thermal noise in a resistor or semiconductor (which is in itself generated by subatomic so quantum, events) would be just as random.
In this case TFS seems to define provably random as that which cannot be predicted in advance given sufficient knowledge of how the number is generated and some initial conditions. Supposedly they have proven that this is the case, though I have not verified the correctness of their proof. However, this is really no different than other mathematical proofs. Either the proof is correct or it is not, but a lack of understanding of the proof does not change its correctness.
Mathematical proofs are far more fundamental in that they are true regardless of the properties of the universe you happen to be in at the time.
This is deeply wrong.
Mathematical proofs are true if and only if the assumptions (axioms) on which they're based are true. When you apply mathematics to real things, you're making a critical unproven and unprovable assumption: That the mathematical structure maps perfectly onto the real-world structure. That this works quite well isn't surprising, because we work hard to craft mathematical structures that map as closely as we can, and because the universe appears to have consistent structure. That said, the fact that it has always worked well in no way proves that the mapping will always hold, and it says nothing about the "truth" of reality other than we observe that it consistently appears to behave according to a certain pattern.
The map is not the terrain. And when you posit a universe with a different properties (different terrain!) then there is no reason to expect the map even to be useful.
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