In re: "Wales number" which is 2573380 - this possibly connects to Lissajous
orbital phasing, as well as to pi etc. in a most unusual way.
The first three pages of Sarg's article are interesting in this regard:
www.journaloftheoretics.com/links/papers/sarg.pdf
In comparing the conditions for phase repetition, where the phase of two proper
frequencies is not fulfilled for three orbital cycles ... then we get a value
to which the closest integer value of 2573380 - Which as it turns out is
obtained by Michael Wales, using a completely different method for analysis of
electron behavior (See Michael Wales book “Quantum theory; Alternative
perspectives”).
This is all very mysterious and probably worthy of further investigation, in
the face of overlaps with pi, triple orbits, the Millsean OS, Spaandonk's
Lissajous, and cubic roots which are all returning consistently useful values
in the context of alpha. Can this be taken further to a practical level?
Of course, ultimately for LENR theorists, if alpha does relate to both
fractional hydrogen - and at the same time to beta decay as well, then possibly
we have a cause/effect sequence. Arguably, as many have noted, the "shrinkage"
seen by Mills "ought to be endothermic" and perhaps it is. The exotherm which
is seen in experiments then comes from immediate beta decay of a reduced energy
variety.
Beta decay in the low keV range is the precise kind of nuclear reaction that
can leave little trace - especially when, in "beta-prone isotopes" like Ni, in
which a neutrino can arguably carry away variable amounts - including more than
normal mass-energy to make up the energy balance of "shrinkage", leaving the
evidence of the reaction at levels of below which the reactor itself would
shield ... which is interesting for this reason: a value that is still in the
low keV range could go unnoticed unless one intentionally develops a good
procedure to find it.
The two+ hour half life is the suggested way to proceed.
That is being done now, so we will not be in the dark (err ... blacklight?) for
much longer, one can hope.
Too bad Mills himself refuses to look for this spectrum of low keV radiation.
Awkshully, he probably has found this, perhaps years ago - and is going to look
pretty silly when the evidence is put forward now.
Ever wonder if there was a back-story behind some of the early departures from
Mills' team ?
Jones
BTW - Robin has expanded upon De Broglie's solution, and suggests that
smaller stable radii than the Bohr atom are possible when one allows Lissajous
orbitals in three dimensions, such that multiple linked two dimensional
orbitals need to be completed before the electron actually reconnects with
itself.
Apparently three orbitals would be the conclusion from the above cite, and that
seems to be consistent with what Robin suggests.
-----Original Message-----
From: Jones Beene
Terry: A link from there may actually relate to the Frank's theory in a
backdoor kind of way: an accurate value for α which has been presented by
Michael Wales - as mentioned by Gilson.
Wales claims that there are good reasons a ratio of an electron's time in a
Bohr orbit wrt an *internal electronic time* will have the definite integral
value NW = 2573380, such that alpha is the cubic root:
α = NW ^-1/3 ≈ α(137,25)
This could be just as mysterious since we do not know what an *internal
electronic time* mentioned really is - but it should be related to the
Znidarsic constant of 1094 km/sec which he labels as "the velocity of sound in
the nucleus" (whatever that means?). One would think that velocity and time
yada, yada ... well, you get the picture.
At any rate there is probably a way to correlate the two, but it is too nice a
day for me to go there now.
Jones
-----Original Message-----
From: Terry Blanton
Thanks! The article linked from the page considers e, the natural
logarithm base, also.
pi(e) :-)
That same page has some interesting links at the bottom; although,
many are dead.
T
Jones Beene wrote:
> Dr. James Gilson's web site
> www.fine-structure-constant.org
> proposes this value for alpha:
>
>
> 29 cos({pi}/137) tan({pi}/(137×29)) / {pi}
>
> ... three layers of pie??
>
>
> -----Original Message-----
> From: Terry Blanton
>
> I wonder if there is a relationship between alpha and pi?
>
> Apple pie?
>
> T :-)
