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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeJan 9th 2019
   • PermaLink
   Author: Urs
   Format: MarkdownItexPreprint today by Yau et al., relating $p$-adic strings to the Riemann zeta function: * An Huang, Bogdan Stoica, [[Shing-Tung Yau]], _General relativity from $p$-adic strings_ ([arXiv:1901.02013](https://arxiv.org/abs/1901.02013)) <a href="https://ncatlab.org/nlab/revision/diff/p-adic+string+theory/8">diff</a>, <a href="https://ncatlab.org/nlab/revision/p-adic+string+theory/8">v8</a>, <a href="https://ncatlab.org/nlab/show/p-adic+string+theory">current</a>

   Preprint today by Yau et al., relating $p$-adic strings to the Riemann zeta function:

   • An Huang, Bogdan Stoica, Shing-Tung Yau, General relativity from $p$-adic strings (arXiv:1901.02013)

   diff, v8, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeJan 9th 2019
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded more references. Should add some pointer to [[Bruhat-Tits trees]]. But no time now. <a href="https://ncatlab.org/nlab/revision/diff/p-adic+string+theory/9">diff</a>, <a href="https://ncatlab.org/nlab/revision/p-adic+string+theory/9">v9</a>, <a href="https://ncatlab.org/nlab/show/p-adic+string+theory">current</a>

   added more references. Should add some pointer to Bruhat-Tits trees. But no time now.

   diff, v9, current

3. • CommentRowNumber3.
   • CommentAuthorDavid_Corfield
   • CommentTimeJan 9th 2019
   • PermaLink
   Author: David_Corfield
   Format: MarkdownItexSo this is developing the open bosonic corner you mention in the penultimate paragraph of your [MO question](https://mathoverflow.net/q/162803/447)?

   So this is developing the open bosonic corner you mention in the penultimate paragraph of your MO question?

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeJan 9th 2019
   • PermaLink
   Author: Urs
   Format: MarkdownItexYes. It sounds rather striking what they say about Riemann zeta zeros corresponding to the adelic string spectrum. But I haven't had time yet to try to absorb it.

   Yes.

   It sounds rather striking what they say about Riemann zeta zeros corresponding to the adelic string spectrum. But I haven’t had time yet to try to absorb it.

5. • CommentRowNumber5.
   • CommentAuthorDavid_Corfield
   • CommentTimeJan 9th 2019
   • PermaLink
   Author: David_Corfield
   Format: MarkdownItexYes, quite something if some aspect of the Riemann hypothesis emerges from one corner of a "more general number theoretic and homotopy-theoretic refinement of string scattering amplitudes". Is there anything deep in mathematics not touched by string/M-theory?

   Yes, quite something if some aspect of the Riemann hypothesis emerges from one corner of a “more general number theoretic and homotopy-theoretic refinement of string scattering amplitudes”.

   Is there anything deep in mathematics not touched by string/M-theory?

6. • CommentRowNumber6.
   • CommentAuthorUrs
   • CommentTimeJan 10th 2019
   • (edited Jan 10th 2019)
   • PermaLink
   Author: Urs
   Format: MarkdownItexOne thing I haven't appreciated before is how a Bruhat-Tits building here serves as the disk-shaped worldsheet of the open string. I have no idea how this relates to taking elliptic curves over arbitrary rings as closed string vacuum diagrams, as it happens in the construction of the string orientation of tmf.

   One thing I haven’t appreciated before is how a Bruhat-Tits building here serves as the disk-shaped worldsheet of the open string.

   I have no idea how this relates to taking elliptic curves over arbitrary rings as closed string vacuum diagrams, as it happens in the construction of the string orientation of tmf.

7. • CommentRowNumber7.
   • CommentAuthorDavid_Corfield
   • CommentTimeJan 10th 2019
   • (edited Jan 10th 2019)
   • PermaLink
   Author: David_Corfield
   Format: MarkdownItexTo associate some fog with more fog, I wonder if [topological Langlands](https://mathoverflow.net/questions/7283/topological-langlands) is about here, relating arithmetic to homotopy theory. I see it gets a mention in Eric Peterson's new book [Formal Geometry and Bordism Operations](https://books.google.co.uk/books?id=45d9DwAAQBAJ&pg=PA361) footnote 18, p. 361.

   To associate some fog with more fog, I wonder if topological Langlands is about here, relating arithmetic to homotopy theory. I see it gets a mention in Eric Peterson’s new book Formal Geometry and Bordism Operations footnote 18, p. 361.

8. • CommentRowNumber8.
   • CommentAuthorUrs
   • CommentTimeJan 30th 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to today's * Paul H. Frampton, _Particle Theory at Chicago in Late Sixties and p-Adic Strings_ ([arXiv:2001.10915](https://arxiv.org/abs/2001.10915)) <a href="https://ncatlab.org/nlab/revision/diff/p-adic+string+theory/15">diff</a>, <a href="https://ncatlab.org/nlab/revision/p-adic+string+theory/15">v15</a>, <a href="https://ncatlab.org/nlab/show/p-adic+string+theory">current</a>

   added pointer to today’s

   • Paul H. Frampton, Particle Theory at Chicago in Late Sixties and p-Adic Strings (arXiv:2001.10915)

   diff, v15, current

9. • CommentRowNumber9.
   • CommentAuthorUrs
   • CommentTimeFeb 8th 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded this pointer on the suggestion that the [[disk]] [[worldsheet]] of the [[open string|open]] [[p-adic string]] is to be identified with the [[Bruhat-Tits tree]] $T_p$: * [[Anton Zabrodin]], _Non-Archimedean strings and Bruhat-Tits trees_, Comm. Math. Phys. Volume 123, Number 3 (1989), 463-483 ([euclid.cmp/1104178891](https://projecteuclid.org/euclid.cmp/1104178891)) <a href="https://ncatlab.org/nlab/revision/diff/p-adic+string+theory/16">diff</a>, <a href="https://ncatlab.org/nlab/revision/p-adic+string+theory/16">v16</a>, <a href="https://ncatlab.org/nlab/show/p-adic+string+theory">current</a>

   added this pointer on the suggestion that the disk worldsheet of the open p-adic string is to be identified with the Bruhat-Tits tree $T_p$:

   • Anton Zabrodin, Non-Archimedean strings and Bruhat-Tits trees, Comm. Math. Phys. Volume 123, Number 3 (1989), 463-483 (euclid.cmp/1104178891)

   diff, v16, current

10. • CommentRowNumber10.
    • CommentAuthorUrs
    • CommentTimeNov 4th 2022
    • PermaLink
    Author: Urs
    Format: MarkdownItexadded pointer to today's * Christian B. Jepsen, *Adelic Amplitudes and Intricacies of Infinite Products* &lbrack;[arXiv:2211.01611](https://arxiv.org/abs/2211.01611)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/p-adic+string+theory/21">diff</a>, <a href="https://ncatlab.org/nlab/revision/p-adic+string+theory/21">v21</a>, <a href="https://ncatlab.org/nlab/show/p-adic+string+theory">current</a>

    added pointer to today’s

    • Christian B. Jepsen, Adelic Amplitudes and Intricacies of Infinite Products [arXiv:2211.01611]

    diff, v21, current