/sci/ - Science & Math

Has anyone ever tried to attack the Riemann hypothesis themselves?

If you take the Fourier transform (the unitary, ordinary frequency variety) of 1/|x|^s, you will note that it is equal to 1/|x|^(1-s) up to a multiplicative constant, the exact same constant found in the functional equation Zeta[s] = ... Zeta[1-s]. s =1/2 is the only value for which the Fourier transform of 1/|x|^s is equal to itself. Coincidence?

This is not the complete proof of the Riemann hypothesis however I believe it is the right direction to look in.

Does the following disprove quantum mechanics, /sci/?

Let psi be a wave function encoding the information that "quantum mechanics is false". If quantum mechanics were true, then by conservation of information no such information would exist anywhere in the universe, and thus the inner product with any vector with psi must be zero. However we can see from the form of propagators that any state has a non-zero chance of propagating to any state including psi, a contradiction.

>what's the most black magic shit you've seen in mathematics?

ahem...

I recently posted here that using computer games as a vicarious mode of living implies that one accepts substitutes for reality, thus providing behavioral evidence that the world could be simulated.

But what does a "computer game within a simulation universe mean"? In a simulation, one takes the image, representation or depiction of something as an acceptable substitute of that thing itself, so a computer game in a simulation would be treated as though it were the simulation itself. The resultant effect is that the computer game is treated as though it were the simulation, but then the simulation would be treated as though it were reality.

This is something we can test out: a computer analogy to the Heisenberg uncertainty principle, a made up rule of the simulation, is thus: The more certain you are where the pixels are (ie, the position of things), the slower you are to perceive the information represented (the momentum space).

Try it yourself and see what happens: does your reading speed increase or decrease as you change your screen resolution?