[HN Gopher] The formula for pi buried in a hydrogen atom ___________________________________________________________________ The formula for pi buried in a hydrogen atom Author : silasrude Score : 90 points Date : 2020-04-11 21:00 UTC (1 days ago) (HTM) web link (www.rochester.edu) (TXT) w3m dump (www.rochester.edu) | doovd wrote: | The formula is also buried in a simple circle. | FigmentEngine wrote: | no that's tau | z3ncyberpunk wrote: | Tau is just pi * 2 | geoffmunn wrote: | I really love the idea that pure mathematics and nature are the | same thing. On a philosophical level, our daily lives are the | expression of the differences and inefficiencies of our systems | compared to an optimal end-state. Also, sometimes I think that | religion and science have more in common than people think. | segfaultbuserr wrote: | Original paper: | | * Friedmann, T., & Hagen, C. R. (2015). _Quantum mechanical | derivation of the Wallis formula for p_. Journal of Mathematical | Physics | | https://sci-hub.tw/10.1063/1.4930800 | | The result didn't come from experimental works, it's a pure | theoretical derivation for the sake of mathematical physics. | | > _The existence of such a derivation indicates that there are | striking connections between well-established physics and pure | mathematics that are remarkably beautiful yet still to be | discovered._ | | The paper only has three pages - it set up a particular | calculation on the energy levels of hydrogen and obtains a limit, | thus recovering the Wallis formula for p. If you know QM (I | don't), the paper may be a fun read, it's a short and | understandable calculation. | rrss wrote: | The preprint is on arxiv too: | https://arxiv.org/pdf/1510.07813.pdf | algon33 wrote: | Thanks for the link. You guessed well, it is a fun read. | | Its quite satisfying you get the property from the rotational | aspect of the QM. ___________________________________________________________________ (page generated 2020-04-12 23:00 UTC)