On Thursday, September 4, 2025 at 4:38:50 AM UTC-6 John Clark wrote:

On Wed, Sep 3, 2025 at 6:53 PM Alan Grayson <[email protected]> wrote:

*>> |E|^2 gives the relative probabilities of detecting a photon at 
different points on the screen, it gives you the correct curve shape 
but is not normalized so all the probabilities don't add up to exactly 
one. To make it a true probability distribution that integrates to 1 you 
divide |E|^2 by a constant, the total integrated intensity across the 
screen.*


*> But this E is the classical energy, and when the EM field is quantized 
don't we need a huge number of photons to define the curve you reference 
above?*


*If you are able to calculate the probability distribution for where a 
single photon is likely to deliver its quantum of energy after passing 
through two slits, then you will be able to calculate how the energy will 
be distributed across the entire screen for any finite number of photons 
that passes through those two slits.*
 

*> Is there a differential equation that when solved, gives us the wf of a 
RELATIVISTIC particle?*


*If you start with Maxwell's Equations then you get that automatically 
because, although they were discovered a decade before Einstein was born, 
they are 100% compatible with both Special and General Relativity. 
Interestingly they are NOT compatible with Newtonian physics because Newton 
claimed that all speed was relative, but Maxwell's Equations can produce an 
absolute speed, the speed of light, and there are no specifications about 
who should observe that speed, so everybody must.  Resolving 
that inconsistency was the motivation Einstein had for developing 
relativity; he made no changes to Maxwell's Equations, he thought they were 
fine just as they are, instead he modified Newtonian physics.  *


*But ME's describe the behavior of the EM field, not the relativistic 
behavior of a particle. So I pose my question above again. TY, AG* 


> *Is there an equation that gives the wf of a photon? TY, AG *


*As I explained before, the electromagnetic field amplitude can take on the 
role of a photon’s probability amplitude.* 


*But this is within the context of the double slit experiment. If there is 
a wf for a photon, it should be, I think, independent of any experimental 
set up. AG *


*John K Clark    See what's on my new list at  Extropolis 
<https://groups.google.com/g/extropolis>*

ijt


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