Riemann Hypothesis solved by Quantum Mechanics (Semiclassical approximation)

[eljose79]

an approximation is not false , you can evaluate the eigenvalues and then check they are the Riemann zeros (imaginary part) ,

[douguette1]

@eljose79 Hi, yes it looks like a nice work I have to say, I am not trying to criticize it absolutely, just giving my honest opinion. Again I am not an expert, just I know quantum mechanics (to a certain extend of course!) and what is the hypothesis and few stuffs on Zeta. But to my point of view you can not say, ok that s the roots of zeta I see that they would be solution of this equation (that I can not write exactly) and say ok my exact equation gives numerically values...

[douguette1]

@eljose79 ...very close to the roots (or even infinitely close as you improve your approximation) and say so I solve Riemann hypothesis. Especially the problem should be considered on the complex plan, not just for real=1/2. However on this last part it is way possible I am missing something. I f you find all the roots in your way (as there are infinity of them you will never know if it always works anyways) for s=1/2+it, would it mean that there are not other roots? I don't see how...

[douguette1]

..because at the end your method is extremely complicate to find roots! There are way easier method that have been conceived and that have been used (and are still used) to find trillions of zeros of zeta...cheers.

[douguette1]

...and then find the approximative equation that would give the same roots, but it is already assumed that all roots are real because the determinant of an Hermitian operator is real so I don't understand how this would prove anything. And yeah this is in Arxiv so don't worry guys if this proof is correct then a Journal would come to publish it and this guy would earn is one million dollars price!

[douguette1]

Do you guys really think this guy does not know about it? Who are you kidding? I am not a professional on the question, but even though this thing looks nice full of formula I don't think this looks like a proof at all (however I have to admit I don't have time to go carefully through all the text!): 1)You can not prove the Riemann Hypothesis using approximations, 2) to me it looks the author just build an equivalent problem putting the roots as eigenvalues of an Hamitlonian....

[username50561]

dude, you need to submit this! you can win 1,000,000 dollars like superdiza said. you would be rich, probably win a nobel peace prize and be immortal. better do it quick before someone steals your solution and claims the money for them selves!

[superdiza]

There's a million dollar price money for this solution. You can submit to them.

Have you any insight about the distribution of primes ?