Re: For the mathematicians: The end of the quantum tunnel

On 01/05/2024 06:01, Jan Panteltje wrote:

 The end of the quantum tunnel
   https://www.sciencedaily.com/releases/2024/04/240426165224.htm
Date:
April 26, 2024
Source:
Universiteit van Amsterdam
Summary:
  Quantum mechanical effects such as radioactive decay, or more generally: 'tunneling', display intriguing mathematical patterns. Researchers now show that a 40-year-old mathematical discovery can be used to fully encode and understand this structure.
 Paper:
  https://scipost.org/SciPostPhys.16.4.103/pdf

Did you read the link that you posted Jan?
Their method might be an interesting superset of classical and quantum methods but it is *extremely* mathematical and intricate mathematics. The standard QM formalism is way easier to use and understand.
That paper starts at the WKB approximation (which was part II theoretical physics back in my day and would be graduate level now) and goes off at at skyward tangent. It might indeed yield something by way of an insight into QM but it will still contain all known QM results as a limiting case. QM is experimentally validated to a high degree...
My money is on Clifford algebras to be the next big leap forward in physics notation that provides more insight (rather than string theory) but it has been a long coming. I know some folk in both camps.
--
Martin Brown