Correction:
If the energy of an element of a electromagnetic wave is E^2/c where E is
the local electric field then the equivalent elemental mass is given by the
relation dmc^2=E^2/c.
so dm=E^2/c^3. The gravitational force between elemental masses is
Gdm1.dm2/(r12)^2
So the gravitational binding energy of the whole wave is:
GSum(dm(n).dm(n)/(r(m,n))^2) over all m,n m<>n.
For a particular element this sum is the energy at that point:
GSum(dm.dm(m)/r(m)^2) goes to GIntegral(dm.dm/r^2)
The differntial form is Gdm/r^2
Using the plank relation hf=energy then f=energy/h
So f=Gdm/r^2/h+E^2/hc
So f=GE^2/hr^2c^3+E^2/hc=E^2((G/hc^3)(1/r^2)+1/hc)
f=E^2/hc((G/c^2)(1/r^2)+1)
The error was a bad copy from one line to the next of a 1/r^2 which was
accidently written down as a 1/r
I can't go any further, but it looks like a relation between r, E and f that
can be made into a differential equation that will give a similar equation
to the shrodinger equation for an electron orbital, but instead applying to
the photon trapped by gravity to form the electron. I think shrodinger
could be a case where the proton wave and the electron wave interact to make
something new.
> Some time ago, when I was about 20, I suggested that elementary particles
> are actually photons that get stuck by their own gravity.
[quoted text clipped - 25 lines]
> shrodinger could be a case where the proton wave and the electron wave
> interact to make something new.
Chris - 25 Apr 2005 12:54 GMT
Re-correction:
GSum(dm.dm(m)/r(m)^2) goes to GIntegral(dm.dm/r^2)
The differntial form is Gdm/r
Using the plank relation hf=energy then f=energy/h and energy is potential
plus kinetic
So f=Gdm/r/h+E^2/hc
So f=GE^2/hrc^3+E^2/hc=E^2((G/hc^3)(1/r)+1/hc)
f=E^2/hc((G/c^2)(1/r)+1)
> Correction:
>
[quoted text clipped - 62 lines]
>> shrodinger could be a case where the proton wave and the electron wave
>> interact to make something new.