>From "Quaternion
Physics<http://books.google.com/books?id=f9IPh4IxteMC&pg=PA46&lpg=PA46&dq=quaternion+fine+structure+constant>
":

"In examining the Hydrogen atoms Quantum speed, ½(e/q)² = 1/137.12 appears
and is approximagely equal to α."

Quaternions are the third normed division algebra.


On Tue, Jan 21, 2014 at 11:40 AM, James Bowery <[email protected]> wrote:

> Interesting.  Do the normed division algebras enter into Mills' theory?
>
> If so, I have something to contribute:
>
> There may be a mathematical identity between the 4 normed division
> algebras and the 4 levels of the combinatorial hierarchy.
>
> A paper by Stanford researcher Pierre Noyes describing the prediction of
> cosmological measurements based on the combinatorial hierarchy (which is
> therein defined):
>
> http://slac.stanford.edu/cgi-wrap/getdoc/slac-pub-8779.pdf
>
> The reason I am suspicious that there is a connection between the two is
> the parsimony with which the third level of the combinatorial hierarchy's
> electroweak interaction can be described by quaternions, and my intuition
> that the strong interaction may parsimoniously be described by complex
> numbers.
>
> An introduction to Noyes's bitstring physics:
>
> http://arxiv.org/pdf/hep-th/9707020.pdf
>
> wherein he associates the four levels of the combinatorial hierarchy with
> the four scale constants for the superstrong, strong, electroweak and
> gravitational interactions respectively
>
>
>
>
> On Mon, Jan 20, 2014 at 10:00 PM, Jeff Driscoll <[email protected]> wrote:
>
>> I tried to summarize a few reasons why I believe Randell Mills's theory
>> of the atom.
>>
>> ==============================================
>> For decades, physicists have struggled with how to interpret the fine
>> structure constant, alpha =  1/137.035999
>> Physicist Richard Feynman said this decades ago:  “It has been a mystery
>> ever since it was discovered more than fifty years ago, and all good
>> theoretical physicists put this number up on their wall and worry about it.”
>> Feynman also said:  ”It’s one of the greatest damn mysteries of physics:
>>  A magic number with no understanding by man”
>>
>> In my view, the value of the fine structure constant is explained by
>> Randell Mills’s model of the hydrogen atom.
>> In Mills’s model, the principal quantum number n can take on fractional
>> values with the smallest being n =1/137.  For purposes of the following
>> energy calculations, assume an electron is orbiting around the proton in a
>> stable orbit at the principal quantum number n = 1/137.035999 (i.e. the
>> fine structure constant, alpha) and has a radius R based on Mills's
>> theory.  An electron orbiting at this radius R has the following 5 energy
>> calculations related to it and they *all* equal exactly 510998.896 eV or
>> the rest mass of the electron (this is to 9+ significant digits!).
>> The energy equations are:
>> 1. Resonant energy of the vacuum for a sphere having radius R.
>> 2. Capacitive energy of a sphere having radius R.
>> 3. Magnetic energy for an electron orbiting a proton on the infinite
>> number of "great circles" (as described by Mills) on the surface of a
>> sphere having radius R.
>> 4. Planck equation energy for a photon having a wavelength that matches a
>> sphere having radius R.
>> 5. Electric potential energy for an electron evaluated at infinity
>> relative to a sphere having radius R with a proton at the center.
>>
>> The amazing thing is that these 5 energy equations above are classical,
>> meaning no quantum theory is involved and it uses Newtonian dynamics and
>> Maxwell’s equations. The 5 energy equations are exactly the same as found
>> in physics textbooks.
>> The energy equations are related to Mills's "Pair Production" (where a
>> photon is converted into an electron) and to have an organized, logical
>> theory have such a coincidence where they all equal the rest mass of the
>> electron would be impossible in my view.
>>
>> Mills's equations for the radius of the orbiting electron can be derived
>> using the same methods as Niels Bohr but with slightly different
>> postulates.
>>
>> 1.  Bohr postulated that the momentum of the electron was equal to the
>> principal quantum number multiplied by the reduced Planck constant for all
>> stable orbits.  Mills postulates that the momentum of the electron is equal
>> to *only* the reduced Planck constant at all stable orbits (i.e. it is not
>> a function of principal quantum number).
>> 2. Bohr postulated that the electric charge experienced by the electron
>> due to the proton is equal to e (the elementary charge) for all stable
>> orbits. Mills postulates that the electric charge experienced by the
>> electron due to the proton *and* the trapped photon is equal to e/n or the
>> elementary charge divided by the principal quantum number for all stable
>> orbits.
>>
>> You can find out more about Randell Mills's theory at my website here:
>>
>> http://zhydrogen.com
>>
>> Side note: Mills's lowest allowed orbit is 1/137 not 1/137.035999 and (I
>> think) the difference between the two numbers is related to a small
>> magnetic interaction between the electron and the proton.  You can see more
>> detail in Mills's book, Grand Unified Theory of Classical Physics (GUTCP)
>> which is streamed here:
>>
>> http://www.blacklightpower.com/theory-2/book/book-download/
>>
>>
>>
>

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