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Joined: 06 Oct 2005
Posts: 602
Location: Toon Town
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Subject: Are hydrinos thinkable? Is Lubos Motl wrong? Fractional Quantum
Hall Effect - Anyons in surface plasma modes?
Was I wrong?
Remember Lubos Motl's analysis of hydrinos
http://motls.blogspot.com/2005/11/hydrinos.html and Lubos is both a
string theorist and a Harvard Man! 
On string theory see
http://www.fourmilab.ch/fourmilog/archives/Monthly/2006/2006-06.html
http://www.fourmilab.ch/fourmilog/archives/Monthly/2006/2006-03.html
See Robert Laughlin's "A Different Universe" for the history of the Hall
effects.
There is something called the quantum Hall effect with integer quantum
numbers. Then they discovered the unexpected fractional quantum Hall
effect. Is this analogy a good one or is it stupid?
http://www.pha.jhu.edu/~qiuym/qhe/qhe.html
Marchese starts with
En = - 13.598ev/n^2
Where n is the principal quantum number
n = N + L, n = 1, 2, 3,
L = 0,1, ... n-1
N - 1 is the number of nodes in the radial wave function.
L is the orbital angular momentum also an integer.
Therefore n = fraction is complete nonsense.
However
13.598 ev = - (Reduced Mass)(Charge)^4/2h^2
So if for example
n = 1/7
That's the wrong way to look at it!
We do not allow h to change.
What if the effective charge is "fractional"?
Well suppose the charge e
e -> xe
En -> En' = -(Reduced Mass)x^4(Charge)^4/h^2n^2 = -(Reduced
Mass)(Charge)^4/h^2n^2/x^4
n' = n/x^2
So now maybe we are cooking?
It's not important that the effective charge be a simple fraction BTW.
All that is important is that x < 1 from some kind of plasma screening
effect perhaps since there is an electric permittivity in the
denominator as well.
En = -13.598 ev/n^2 = - (Reduced Mass)(Charge)^4/(permittivity)2h^2n^2
I have not had time to think deeply about this, but there may be a
connection to the fractional quantum Hall effect, fractional quantum
statistics and 2D anyons in surface plasma oscillations? Too soon to
know if this crazy intuition is crazy enough to be interesting. WYSIWYG.
Prior to this moment these half-baked thoughts did not exist on this planet.
On Jun 8, 2006, at 6:39 PM, Jack Sarfatti wrote:
Correction he does mention "hydrinos" - am reading it now.
On Jun 8, 2006, at 6:33 PM, Jack Sarfatti wrote:
Marchese and his team have impressive credentials. He has a Princeton
Ph.D. However so far I see nothing in his final Phase I report that
requires the "hydrinos" of Randall Mills.
http://users.rowan.edu/~marchese/final-niac.pdf
As far as Marchese is concerned one must be completely pragmatic and
look at the complicated phenomenon bearing in mind the warnings of
Stanford's Robert Laughlin in "A Different Universe."
Rowan was launched with a $100 million grant. |
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