__On the Size and Constitution of a
Photon
__

*Suggested
background reading: A Suggested Stable Model for
the Electron*

According to
the Equivalence Principle (and experiment) the trajectories of every entity,
with a velocity v orthogonal to an ambient uniform gravitational field, is a
single parabolic curve. In particular, one trajectory applies to *every*
photon.

Now the
time-honored equation that the mass of a *sub*-light-speed
particle is a function of its speed (m=m_{o}/(1-v^{2}/c^{2})^{1/2})
can apply to photons if they have “infinitesimal *rest* masses”. According to this view m could be any *finite*
quantity. We can determine a particular value
for m by noting that, according to Planck, the photon has a momentum of

p=h/l. (1)

If we also
assume that

p=mc, (2)

then we see
that the photon’s mass is small but finite:

m=h/lc. (3)

Now the
photon has zero charge and hence (according to the classical model of a
sub-light-speed particle being a spherical shell of mass concentric with a
spherical shell of charge) it can be modeled as a shell of gravitational mass.
Assuming m is imaginary, the radius of this shell of mass is theoretically^{(1)}

r=2|m|G/3c^{2}=2Gh/3c^{3}l.
(4)

Or, defining
the constant c to be

c=2Gh/3c^{3}=1.09419333e-69,
(5)

we find that

r=c/l.
(6)

A photon
of light can evidently be modeled as * a
miniscule spherical shell of gravitational mass of radius r*. In a
uniform gravitational field the photon would accelerate

It is
worth noting that a free photon is stable while in transit between a source
and an absorber. It has previously been concluded that a lone sphere of *charge*
could *not* persist with a constant radius. For with nothing to hold it
together the charge would disperse.

In the
case of a sphere of mass, *nothing is
required to hold the sphere together* since like-signed masses attract. The
question becomes: “What keeps the shell of mass from collapsing to a
point?” Eq. (6) suggests an answer. In order for r to decrease, l would have to increase. There is evidence that this might actually
occur as the photon’s path length increases. The phenomenon is of course
referred to as “red shift.”