From: helbig@asclothestro.multivax.de   
      
   In article , Douglas   
   Eagleson  writes:   
      
   > On Monday, January 4, 2021 at 4:49:11 AM UTC-5, Phillip Helbig (undress to   
   reply) wrote:   
   >> Not much effort is put into confirming or refuting undisputed results or   
   >> expectations, but occasionally it does happen. For example, according   
   >> to theory muons are supposed to be essentially just like electrons but   
   >> heavier, but there seems to be experimental evidence that that is not   
   >> the case, presumably because someone decided to look for it.   
   >>   
   >> What about even more-basic stuff? For example, over what range (say,   
   >> multiple or fraction of the peak wavelength) has the Planck black-body   
   >> radiation law been experimentally verified? Or that radioactive decay   
   >> really follows an exponential law? Or that the various forms (weak,   
   >   
   > given a single neutron creating a single radioisotope atom   
   > the question becomes "can it never decay?" Meaning does   
   > decay have a probability distribution.   
   >   
   > The rate of decay in an exponential function leads to a   
   > non-converging function.  I might submit that it is exponential,   
   > but has a time variable called "last atom decayed".   
   >   
   > The natural existence of a characteristic decay rate implies   
   > an atom set lifetime. Now a convergent?   
   >   
   > But, at some time the last atom.   
   >   
   > Given a set of atoms and a 100percent counting efficiency   
   > will the number of counts ever equal the number of   
   > atoms.   
   >   
   > basically needing mathematical solution.  How to solve   
   > this dilemma?  I am still open on this question but   
   > submit it as a version of the halving distances function   
   > dilemma. "If you halve the distance to an object forever   
   > do you ever finally reach the object?"   
   >   
   > Or attack it by doing axis or time transform.   
      
   The probability that an atom decays is constant in time.  That leads   
   directly to a declining exponential function for the number of atoms   
   which have not yet decayed.  Of course, that is exactly true only in the   
   limit of an infinite number of atoms.  If the number becomes to small,   
   then the noise in the function becomes large enough to obscure the   
   behaviour in the limit.  When you are down to one atom, it is still the   
   case that the probability that it will decay is independent of time.  So   
   you have no idea when it will decay.   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)