On Thursday, February 6, 2025 at 6:49:08 PM UTC-7 John Clark wrote:

On Thu, Feb 6, 2025 at 6:44 PM Alan Grayson <[email protected]> wrote:

*> The Rydberg series for the H-atom is countably infinite. AG*


*The mathematical series may be infinite but that doesn't necessarily mean 
it's physical counterpart is; in fact when physical theories predict 
infinities that's usually a sign that they're breaking down. Classical 
electrodynamics worked fine until things got really really small, because 
it predicted that atoms would radiate an infinite amount of radiation, and 
obviously that didn't happen, that's why quantum mechanics was invented. *
*   John K Clark    See what's on my new list at  Extropolis 
<https://groups.google.com/g/extropolis>*


Predictions of infinite anything can never be verified. But when we 
discussed the many turns at a T intersection, you seemed to accept the 
countable worlds that must be realized when applying the MWI. In that case, 
you could be correct that uncountable might be a stretch when it comes to 
physics, as compared to pure mathematics. So, it seems to me, you have to 
grant the existence of countable worlds produced by the Rydberg series in 
the H-atom in the context of the MWI. AGd6c 

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