Subj: Re: FSC & Planck length
Jerry,
I found something interesting when looking at the atomic and nuclear lengths involved from the Bohr radius to the Planck length.
First of all, the Bohr radius is calculated from Quantum and EM but no relativity involved.
Then there is the Compton wavelength which involves QM and relativity, but not EM
It's value is 1/a(em) = 137.036 times smaller than the Bohr radius (neglecting the 2*PI factor).
Then the Classical Electron Radius, which is calculated using relativity and EM, but no Quantum Mech at all.
Its value is another factor of 137.036 smaller than the Compton wavelength of the electron. The Classic Electron Radius is then 1/a(em)^2 smaller than the Bohr radius; i.e.18,779 times smaller.
Now the Planck length, Lp, includes G for gravity, relativity for c; and Quantum for h-bar. But no EM. Its formula is: Lp = SQRT(G*h-bar/c^3)
The value is Lp = 1.616048616 x 10^(-35) meters
I didn't find an integer power factor of a(em) between the Bohr radius and Lp (Its power is a(em)^11.4726), but I did find an interesting equation.
If you take the FSC and raise it to the 16th power; then divide that number by the Planck length, you get the integer 4 to 1 part in a thousand accuracy.
Here's what I got:
a(em)^16 = 6.466149767 E-35 divided by Lp = 1.616048616 E-35
gives 4.001209928
If you work backwards, starting with the integer 4, multiply it by Lp and take the 16th root, you get .007297215, which when inverted becomes 137.0385798 --- accurate to 1 part in 50,000.
Tom
From: MetPhys
What I noticed here is that these relationships seem to represent the fractal spin of light and its iterations upon a torus.
Universe uses whole numbers (Jerry Iuliano, Fermats Last Theorem)....Whole numbers seem to be producing irrationals such as:
(Bohr radius, Compton wavelength, Planck length, Classical Electron Radius, FSC) which Irrationals seem to be the the beat frequencies (R. Tomes- FSC only), the difference of 2 higher frequency whole numbers as in the example by Milamo, below, i.e., 72 and the powers of 10.
From Milamo:
"In an email of at least a week or more, ago, I suggested that maybe an
"ideal" Fine Structure Constant (discussed in atomic particle physics,
etc.) exists .. which would be an elegant interaction of the number 72
with the Pi constant and powers of 10. I showed this formula in a simple
equation .. (Morton, 2001, Internet) as ..
[(72 / Pi Squared) / (10 to the minus 3rd)] = Ideal Fine Structure
Constant .. = (72 / 9.869604401) / 1000 .. = 7.295125222 / 1000 .. =
0.007295125222
Its reciprocal is .. (1 / 0.007295125222) =137.0778389
99.23.5 Exactly 3 (TomBuoyed)
MetPhys wrote:
Toms Ratios and quote:
"One last thing about the ratios. It turns out that the ratio of ratios
is exactly 3. Divide those numbers and you get exactly 3."
8.162097134 / 2.720699046 = 2.9999999985 (Close enough?)
Vs / Vt ratio = 8.162097134
As / At ratio = 2.720699046
Robert Grace
From: Tom
No, it's exactly 3. We're getting bogged down in decimals and
truncation/rounding by our pocket calculators. Here's why the ratio is
exactly 3. I go back to the use of square roots.
Vs = SQRT(6)*PI/8
Vs/Vt = 1.5 * SQRT(3) * PI
As = 1.5 * PI
As/At = 1.5 * PI / SQRT(3)
Now divide the ratios.
(Vs/Vt)/(As/At) = 3 because:
The 1.5 * PI terms cancel out and what's left is
SQRT(3)*SQRT (3) = 3
Tom
99.23.6 Re: Exactly 3 (MetPhys)
To JerryIuliano, Code UFO, Peace2go, Milamo, TomBuoyed:
Are these rational whole numbers as products of irrationals, beginning
to suggest a rational whole number component to universe?
Robert Grace
From: Jerry
Sir:
I believe the system is equivalent to a multi-dimensional Pythagorean
form - Fermat's Last Theorem, which requires only integer.
J.Iuliano
My last question:
Are these rational whole numbers as products of irrationals, beginning
to suggest a rational whole number component to universe?
Perhaps it is the reverse- Is it possible to conclude that the
1st layer rational whole numbers are producing the
MetPhys@aol.com
© Copyright. Robert Grace. 2001
Date: 08/20/2001
From: (TomBuoyed)
Email: TomBuoyed@aol.com
Date: 8/20/2001
http://hometown.aol.com/MetPhys/99BBelectrons.html
99.28.2 BULLETIN .. Yonaguni, Marsface, Fine Structure, and e ..
(Michael Morton)
Vt = SQRT(2)/12
At = SQRT(3)
MetPhys@aol.com
Date: 7/05/01
2nd layer irrational beat numbers?