On 6/12/2025 11:33 PM, Alan Grayson wrote:
On Thursday, June 12, 2025 at 7:17:31 AM UTC-6 John Clark wrote:
On Thu, Jun 12, 2025 at 8:10 AM Alan Grayson <[email protected]>
wrote:
/> So if we have two labs, one atop a mountain and another on
the Earth's surface, will they measure different half-lifes? AG /
*Of course they will! One will detect muons that were produced
when cosmic ray protons hit air molecules in Earth's upper
atmosphere and are moving at near the speed of light; if it wasn't
for time dilation caused by their very high speed no muons would
be detected by that guy on the mountain at all because the muons
would've all decayed before they reached him. But the guy in the
lab is measuring the half-life of muons that he had just made that
were not moving, or were moving very slowly, relative to him.
*
*OK. I was unaware of the scenario you were imagining. If the lab on
the mountain was also creating muons, the half-lives would be the same
as the Earth bound lab. I was imagining a case where both labs create
muons, or both observe them falling. Nonetheless, I remain puzzled
about the claim that muons have clocks, and that the LT somehow
distinguishes between dilation in relative motion of clocks NOT being
directly observed, just calculated, and rest clocks in the muon's
frame of reference. I don't think you can deny there's an unsolved
mystery in this dichotomy. AG *
The time dilation of the fast moving muons created in the upper
atmosphere is inferred from the fact that they still exist at the lower
altitude. Why don't you read what I posted with the diagram. It has a
plot of the number to have not decayed under a Newtonian model and one
with Einstein's time dilation as a function of altitude.
Brent
*>> A good theory should be as simple as possible, _but
not simpler_. Newton couldn't explain or predict that
starlight passing near the sun will be bentby 1.75
arcseconds or that Mercury's orbit would precess by 43
arcseconds per centuryor that gravity could produce a
redshift. But Einstein could. *
/>What do you think you've established? That GR is superior to
NM? We already knew that! But what we don't understand about
gravity is truly mind boggling, but only for those with
imagination. AG/
*So I'm supposed to believe that your confusion is the result of
your vastintelligence? *
*John K Clark See what's on my new list at Extropolis
<https://groups.google.com/g/extropolis>*
&#(
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