XPost: sci.math   
   From: nospam@de-ster.demon.nl   
      
   Ross Finlayson  wrote:   
      
   > On 10/24/2025 02:58 AM, Holden Babushkin wrote:   
   > > Ross Finlayson wrote:   
   > >   
   > >>> Jan (uses Casimir units if at all possible)   
   > >>   
   > >> Maybe try some bigger ones, ....   
   > >>   
   > >> If you take a look at the roots of x^2 +- x +- 1,   
   > >> you can notice that one of them's the molar gas constant,   
   > >> so, that's a mathematical and not a physical constant now,   
   > >> and another of them is phi, the golden ratio, then with regards to roots   
   > >> of phi and so on.   
   > >   
   > > you stupid fuck   
   > >   
   >   
   > The square root of 137 is close to the Boltzmann constant, ....   
      
   Dimension error.   
      
   > Which in lots of formulations is about the only physical constant, ....   
   >   
   >   
   > Which if you notice is often an expression of the molar gas constant, ....   
   >   
   > Which is a mathematical constant, ....   
   >   
   > Finding expressions for things like a general expression for   
   > the roots of phi, and with regards to things like Lambert's W,   
   > has that for some, Lambert's W, about roots and integrals of x^x,   
   > is the next elementary function after things like usual arithmetic   
   > and the functions of trigonometry then all the kinds of Bessel   
   > functions and so on, since the mathematics in usual elementary   
   > functions gets truncated and thusly people have forgotten where   
   > the food comes from, and don't know they're eating processed food.   
   >   
   > "Processed food: not necessarily food."   
   >   
   >   
   > Anyways since all things physics revolve around and are dependent   
   > on whatever makes and keeps Cauchy-Schwarz or triangle inequality,   
   > or right angles, then whatever still is the straight lines, or   
   > the path integral or metric & norm which is its region and integration,   
   > those being mostly classical yet about Wick rotation all these pieces,   
   > then the Buckingham Pi dimensional analysts are dimensionless and   
   > anything dimensionless a quantity may have implicit dimensioned terms   
   > that make a giant blind spot for them.   
   >   
   >   
   > So, "alpha" or the fine structure constant perhaps isn't so relevant   
   > as Boltzmann constant which isn't so relevant, and isn't so constant.   
      
   Boltzmann's constant has a defined value,   
   so it equals 1 in any sensible unit system,   
      
   Jan   
      
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