Re: The densities of a subatomic particle

Rejected by spr moderator. Instead of the usual "overly
speculative" he wrote "inappropriate for the newsgroup. This
message appears to be rant about quantum mechanics, a large part of
which is incorrect"

I read his "incorrect" as "conflicts with what most physicists
today assume to be true because no better alternative has yet been
found". Which seems to too many to be sufficient reason for trying
to ensure that dissenting views are not discussed within spr. As an
experiment I progressively cut my post until the surviving remnant -
the first two paragraphs only - was accepted.

I would welcome criticism of my original post.
___________

On Mon, Mar 20 2006 Arnold Neumaier <Arnold.Neuma...@xxxxxxxxxxxx>
wrote:

Phil Gardner wrote:

.........................
For a Schrodinger stationary state psi(x) of a simple system in its
rest frame |psi(x)|^2 is time independent.

Only for the equation i hbar psidot = H psi,
which describes an isolated single particle. In practice, particles
are not isolated, .....................

How do you define isolated? You surely accept the physical existence
of an isolated pair of interacting particles (eg proton + electron).
In the far field limit for a positive energy state each of them is in
every practical sense "isolated" - in a state of uniform motion.

The problem with the Schrodinger equation is that it then defines only
a set of possible plane waves which can tell us only the magnitude of
the particle's momentum, nothing more. This is still contained in
|psi|^2 but this function tells us nothing at all about the structure
and the densities of the particle.

The only Schrodinger state functions that have much in common with a
single particle are those for bound systems, most of all the ones that
are spherically symmetric, eg that of the ground state of the hydrogen
atom. An isolated particle somehow holds itself together so it is in
some sense a bound system. If it has a non-zero mass it has a rest
frame in which we can fairly assume that |psi|^2 is time independent.
By including in the time independent Schrodinger equation a "self
potential" we can define a "wave function" that has all the
attributes of a stationary three dimensional soliton (as viewed in a
reference frame that travels with it).

Given that there is no evidence of anything periodic in space or time
about a single particle (the only periodicities ever observed with an
interferometer are with a beam of monoenergetic particles and are
periodic in space alone) I cannot understand why physicists are so
committed to wave functions that are periodic in time and so unwilling
to look at those that are aperiodic. All that we need is to stay with
the time independent Schrodinger equation and revise the
time dependent Schrodinger equation. One candidate for a suitable
Schrodinger soliton equation (valid only for an isolated particle in
uniform motion (momentum p, inertial mass M, M^2 = m^2 + (p/c)^2) is:
(K del^2 - ^2 D^2) (log (psi)), where D(psi) = psi.dot (the partial
time derivative), K = (1/3)(p/Mc)^2. This has the simple solution:
psi = exp (-u), where u = (x-X)^2 + (y -Y)^2 + (z-Z)^2 and the
position of the centroid of the soliton (and the particle) is defined
by the coordinates, X(t), Y(t), Z(t).

Solitons such as the above, like all solitons in macroscopic fluids,
have no singularities and all particles constructed from them with
density potentials that are simple functions of |psi|^2 have no
infinities and require no renormalization. Dirac wrote of this
procedure, "This is just not sensible mathematics. Sensible
mathematics involves neglecting a quantity because it turns out to be
small, not neglecting it because it is infinitely large and you do not
want it! Of course the inference is that the basic equations are wrong
and radical changes need to be made." He was clearly saying that we
should look for something better than the Dirac wave equation, one with
no singularities, no infinities. But, sadly, the successes of QED
persuaded almost everyone to ignore his words.
Phil Gardner Submitted 12.19 29/03/06
Rejected by Khavkine - Try deleting last two paragraphs

.

Relevant Pages

  • Re: The densities of a subatomic particle
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  • Re: The densities of a subatomic particle
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