On Friday, September 5, 2025 at 4:18:23 AM UTC-6 John Clark wrote:

On Thu, Sep 4, 2025 at 11:10 PM Alan Grayson <[email protected]> wrote:

*> I am beginning to suspect that we have no equation, the solution of 
which gives us the wf of a RELATIVISTIC particle, *


*The Dirac Equation was discovered way back in 1928, and it describes the 
quantum wave function of a RELATIVISTIC electron.*

*(iγμ∂μ−m)ψ=0*

*ψ is a four-component wave function that represents the quantum state of a 
fermion*

*m is the mass of the particle*

*γμ is called the gamma matrix, it encode spin and relativistic effects*

*∂μ=(∂/∂t, ∂/∂x, ∂/∂y, ∂/∂z),  it's called the four-gradient and 
it represents spacetime derivatives *

*And i of course is √-1*

*>or a PHOTON.*


*I was aware of Dirac's equation and that it described the electron, but I 
didn't know that the variable function solved for, was the electron's wf. 
Are you sure its solution is the wf of a relativistic electron? I infer 
there is no equation for the PHOTON. AG*


*Maxwell’s Equations already are relativistic and they already describe the 
correct degrees of freedom. So quantization of the electromagnetic field 
automatically results in photons. So there’s no need for a separate photon 
wavefunction equation.*


*But any initial condition for a double slit experiment cannot result in 
the interference pattern for a free particle, where the probability spreads 
over time. Regardless of the initial condition, we always get an 
interference pattern on the screen, which although fixed on the screen and 
changing along the screen, doesn't yield a spreading probability. So I have 
no idea what Brent was referring to, when he suggested the initial 
condition would shed light on this issue. AG*


*  John K Clark    See what's on my new list at  Extropolis 
<https://groups.google.com/g/extropolis>*
010

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