View Full Version : Are h's equations right?


Garry Denke
03-02-07, 10:06 PM
These are not my equations, they are h's equations.

h = e^2 * z0 / (2 alpha)
h = [(1.6021765(31) x 10^-19 A-s)^2] * (3.767303134... x 10^2 kg-m^2/A^2-s^3) / [(2.00000000 x 10^0 rad/sr) * (7.2973525(68) x 10^-3 sr)]
h = (2.5669696(36) x 10^-38 A^2-s^2) * (3.767303134... x 10^2 kg-m^2/A^2-s^3) / (1.4594705(14) x 10^-2 rad)
h = 6.6260693(11) x 10^-34 kg-m^2/s-rad

h = e^2 / (2 alpha) * e0 * c
h = [(1.6021765(31) x 10^-19 A-s)^2] / [(2.00000000 x 10^0 rad/sr) * (7.2973525(68) x 10^-3 sr)] * (8.854187817... x 10^-12 A^2-s^4/kg-m^3) * (2.99792458 x 10^8 m/s)
h = (2.5669696(36) x 10^-38 A^2-s^2) / (1.4594705(14) x 10^-2 rad) * (8.854187817... x 10^-12 A^2-s^4/kg-m^3) * (2.99792458 x 10^8 m/s)
h = 6.6260693(11) x 10^-34 kg-m^2/s-rad

h = e^2 * u0 * c / (2 alpha)
h = [(1.6021765(31) x 10^-19 A-s)^2] * (1.256637061... x 10^-6 kg-m/A^2-s^2) * (2.99792458 x 10^8 m/s) / [(2.00000000 x 10^0 rad/sr) * (7.2973525(68) x 10^-3 sr)]
h = (2.5669696(36) x 10^-38 A^2-s^2) * (1.256637061... x 10^-6 kg-m/A^2-s^2) * (2.99792458 x 10^8 m/s) / (1.4594705(14) x 10^-2 rad)
h = 6.6260693(11) x 10^-34 kg-m^2/s-rad

Are h's equations right, I cannot find h anywhere.

Thanks!

James R
03-03-07, 12:14 AM
I have no idea what you're talking about.

Absane
03-03-07, 12:27 AM
http://en.wikipedia.org/wiki/Plancks_constant

Garry Denke
03-03-07, 12:38 AM
So h is right? Or h is wrong? And h's equations? Right, or wrong?

Thanks!

James R
03-03-07, 01:22 AM
I'm sure Planck got his equations right.

Do you have something you want to discuss, or should I close the thread now?

Garry Denke
03-03-07, 08:40 AM
Where are h's equations published?

h = e^2 * z0 / (2 alpha)
h = e^2 / (2 alpha) * e0 * c
h = e^2 * u0 * c / (2 alpha)

I can't find h anywhere.

Thanks!

Garry Denke
03-03-07, 10:02 AM
I'm sure Planck got his equations right.

Do you have something you want to discuss, or should I close the thread now?


In sci.physics Sue found the second,

http://physics.nist.gov/cuu/Images/alphaeq.gif
http://physics.nist.gov/cuu/Constants/alpha.html

but the first and the last I can't find.

http://physics.nist.gov/cgi-bin/cuu/Value?z0
http://physics.nist.gov/cgi-bin/cuu/Value?mu0

Thanks!

James R
03-04-07, 12:35 AM
The fine structure constant, alpha, is defined by:

\alpha = \frac{e^2}{4 \pi \epsilon_0 \hbar c} = \frac{e^2}{2 \epsilon_0 hc}

This is equivalent to the second of your three equations.

Epsilon and mu are related by:

\frac{1}{c^2} = \epsilon_0 \mu_0

Using this equation gives your third equation above.

I assume there's a typo in your first equation. Either that, or you just haven't made clear what zo is.

Garry Denke
03-04-07, 12:02 PM
The fine structure constant, alpha, is defined by:

\alpha = \frac{e^2}{4 \pi \epsilon_0 \hbar c} = \frac{e^2}{2 \epsilon_0 hc}

This is equivalent to the second of your three equations.

Epsilon and mu are related by:

\frac{1}{c^2} = \epsilon_0 \mu_0

Using this equation gives your third equation above.

I assume there's a typo in your first equation. Either that, or you just haven't made clear what z0 is.


z0 = (u0 / e0)^1/2 = u0 * c
characteristic impedance of vacuum
http://physics.nist.gov/cgi-bin/cuu/Value?eqz0

?

h's gravity and electro-magnetic key,

"h" = http://physics.nist.gov/cgi-bin/cuu/Value?h
"e" = http://physics.nist.gov/cgi-bin/cuu/Value?e
"z0" = http://physics.nist.gov/cgi-bin/cuu/Value?z0
"alpha" = http://physics.nist.gov/cgi-bin/cuu/Value?alph
"e0" = http://physics.nist.gov/cgi-bin/cuu/Value?ep0
"c" = http://physics.nist.gov/cgi-bin/cuu/Value?c
"u0" = http://physics.nist.gov/cgi-bin/cuu/Value?mu0
"G" = http://physics.nist.gov/cgi-bin/cuu/Value?bg

h = e^2 * z0 / (2 alpha) ............[1]
h = e^2 / (2 alpha) * e0 * c .......[2]
h = e^2 * u0 * c / (2 alpha) .......[3]

?

gravity and electric force,

F = e^2 * c^3 / (2 alpha) * h * G * e0
F = (1.60217653 x 10^-19 A-s)^2 * (2.99792458 x 10^8 m/s)^3 / [(2.00000000 x 10^0 rad/sr) * (7.29735256 x 10^-3 sr)] * (6.62606931 x 10^-34 kg-m^2/s-rad) * (6.67421000 x 10^-11 m^3/kg-s^2) * (8.85418781 x 10^-12 A^2-s^4/kg-m^3)
F = 1.21027188 x 10^44 kg-m/s^2

gravity and magnetic force,

F = (2 alpha) * h * c^3 / e^2 * G * u0
F = [(2.00000000 x 10^0 rad/sr) * (7.29735256 x 10^-3 sr)] * (6.62606931 x 10^-34 kg-m^2/s-rad) * (2.99792458 x 10^8 m/s)^3 / (1.60217653 x 10^-19 A-s)^2 * (6.67421000 x 10^-11 m^3/kg-s^2) * (1.25663706 x 10^-6 kg-m/A^2-s^2)
F = 1.21027188 x 10^44 kg-m/s^2

?

Thanks!

Garry Denke
03-04-07, 02:54 PM
I.

h = e^2 * z0 / (2 alpha)

h = \frac{e^2 Z_0}{2 \alpha}


II.

h = e^2 / (2 alpha) * e0 * c

h = \frac{e^2}{2 \alpha \epsilon_0 c}


III.

h = e^2 * u0 * c / (2 alpha)

h = \frac{e^2 \mu_0 c}{2 \alpha}


IV.

F = e^2 * c^3 / (2 alpha) * h * G * e0

F = \frac{e^2 c^3}{2 \alpha hG \epsilon_0}


V.

F = (2 alpha) * h * c^3 / e^2 * G * u0

F = \frac{2 \alpha hc^3}{e^2 G \mu_0}


Is h's first equation right?

Thanks!

James R
03-04-07, 06:07 PM
The equation is a definition, so there's no way it can be wrong.