XPost: sci.math   
   From: nospam@de-ster.demon.nl   
      
   Ross Finlayson  wrote:   
      
   > On 10/25/2025 12:32 PM, J. J. Lodder wrote:   
   > > 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   
   > >   
   > >   
   >   
   >   
   > Yeah, you figure. Quite tautologous, isn't it.   
      
   It isn't. Do try to understand how the SI works,   
      
   Jan   
      
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