Re: Cubic Complex Variables / Applications


Bilge wrote:
> Symmetry Observer:
> >
> >Since electrons are involved in the emission and/or absorption of
> >photons,
> >I should have used the "classical electron radius" in the formula for L
> >(the
>
> What are you trying to calculate? If you're trying to calculate the
> electron magnetic moment or the mass from the electric charge,
> quit while you're ahead. At best, you'll be off by a factor of two
> without quantum mechanics, and since the right magnetic moment
> drops in your lap from the dirac equation, you'd be better off
> studying quantum mechanics.

I perhaps unadvisedly chose "L" to denote the postulated start - up
acceleration of
Light. I will soon start looking for another suitable symbol, for the
good reasons that you suggested, since L is the well established symbol
for angular momentum.

The dimensionless ratio v/c plays a prominent role in the Lorentz
Transformations. In the Second Order Lorentz Transformations (SOLT),
that I proposed in the original post, the dimensionless ratio a/L plays
a similar role. L is the acceleration of Light (photons as they start
their journey)
and a is the uniform acceleration of an observer (relative to a fixed
frame).

The ratio (velocity)^2 to distance has the physical dimensions of
acceleration. So in
view of the fact that electrons are prominently involved with the
emission and/or
absorption of photons, I will calculate the acceleration that is equal
to the ratio
of c^2/r where r is the classical radius of the electron.

Using a value of

c = 3.0 x 10^10 cm/sec approximately

r = 2.818 x 10^(-13) cm approximately

We proposed "defining" L (the start - up acceleration of photons) as
follows:

L = c^2/ r = 3.194 x 10^33 cm/sec^2 (approximately)

This of course would be a constant (of nature) and it would be greater
than even
the typical accelerations ( approximately 10^31 cm/sec^2) that are
suffered
by nucleons in the nucleus (see p.163 of Gravitation, Misner, Thorne,
and Wheeler).

The idea of using shorter distances, such as the Planck distance or the
radius of
a quark, which would result in higher accelerations, was considered.
But the classical radius of the electron seems to be the ideal choice
since it is constant and electrons are associated with the
emission/absorption of photons.

I will soon select a symbol other than L for the conjectured start - up
acceleration
of photons.

.

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