Is this a valid physical analogy for the Riemann Hypothesis?

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Discussion Overview

The discussion centers around the validity of a physical analogy proposed for the Riemann Hypothesis as presented in a paper from Arxiv. Participants explore the implications of modeling the zeta function as a wave and the challenges associated with proving the hypothesis.

Discussion Character

  • Debate/contested, Technical explanation

Main Points Raised

  • One participant suggests that the zeta function can be modeled as a wave, implying that solving for the real part involves infinite recursion, which leads to the assertion that the Riemann Hypothesis is axiomatic and unprovable.
  • Several participants express skepticism about the paper's credibility, noting it lacks formal presentation (not written in LaTeX) and makes bold claims without substantial evidence.
  • Concerns are raised regarding the author's qualifications, with some participants questioning the validity of the claims made due to the author's non-mathematical background.
  • One participant highlights the brevity of the paper, questioning how a proof of undecidability could be adequately presented in just seven pages.
  • Another participant critiques the author's terminology, suggesting that the use of phrases like "no closed form" and "cannot be checked" indicates a lack of understanding of advanced mathematics.
  • Overall, participants convey a strong consensus that the paper is not credible and lacks meaningful contributions to the discussion of the Riemann Hypothesis.

Areas of Agreement / Disagreement

Participants generally agree that the paper is not credible and express doubts about its claims. However, there is no consensus on the validity of the physical analogy itself, as the discussion primarily focuses on the paper's shortcomings rather than a detailed examination of the analogy.

Contextual Notes

Limitations include the lack of formal mathematical rigor in the paper, the author's qualifications, and the brevity of the argument presented, which some participants feel undermines its validity.

mustang19
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http://arxiv.org/abs/1202.2115

I know Arxiv isn't a real journal, but this caught my eye.

Is this a meaningful physical interpretation of the Riemann hypothesis?

From what I understand, the zeta function can be modeled as a wave, but attempting to solve for the real part requires infinite recursion- thus RH is axiomatic and unprovable.
 
Mathematics news on Phys.org
Paper not written in LaTeX? Check.
Paper making bold claim without real evidence? Check.
Bold math claim made by somebody who isn't even working as a mathematician? Check.
Paper in the "General Math" section of ArXiv? Check.

Congratulations, you're looking at a crackpot paper.
 
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micromass said:
Paper not written in LaTeX? Check.
Paper making bold claim without real evidence? Check.
Bold math claim made by somebody who isn't even working as a mathematician? Check.
Paper in the "General Math" section of ArXiv? Check.

Congratulations, you're looking at a crackpot paper.
And I was wondering how a proof of undecidability of such an old conjecture could be done within only seven pages by physical means. The translation between them alone should have taken more.
 
fresh_42 said:
And I was wondering how a proof of undecidability of such an old conjecture could be done within only seven pages by physical means. The translation between them alone should have taken more.

Take a look at the "Important remarks" at page 6 where he proves it "in words". His entire remark pretty much is a dead give away that this person doesn't know anything about advanced mathematics.
 
He lost me at the very beginning as he wrote about "no closed form", "no analytical form" and "cannot be checked".
Even the Wikipedia article on it seems to be of greater accuracy. Ok the author is belarussian and not russian. But I first thought it might be someone like Perelman who isn't easy to understand either. Now I regret this thought.
 
I think it got clear enough that the paper is nonsense.
 
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