lectron volume / surface area quotient
brian a m stuckless
1. {GUESS}{ISS} electron 'radius' re = ao*(ve)^2 / c^2
= REAL radius of electron Er / 3 = ‘volume / surface area' quotient
2. {GUESS} Angular momentum = volt*charge*second
3. {GUESS}{ISS} general complexity Cg
..the above nomenclature
4. General Universal Equation of State System{GUESS} model:
a. FINE STRUCTURE TABLE
b. Hamiltonian Enthalpy energy E frame of reference.
..nomenclature
..related notes,
..included below.
1. {GUESS}{ISS} electron radius re = ao*(ve)^2 / c^2
(Hartree energy eH)*(Bohr radius ao)
= --------------------------------------
(electron mass me)*(velocity c of Light)^2
= (Bohr radius ao)*(fine structure constant a)^2 = ao*a^2
= ao*(ve)^2 / c^2
= (Bohr radius ao)*(electron velocity)^2 / c^2 = a*lcbar
= a*(Compton wavelength lc / 2*pi)
= a^3*loo / 4*pi = a^3 / 4*pi*Roo
= eH*ao / me*c^2 = Moo*ao / me
= 4*pi*ao*Mp*lp / me*loo
= Mp*lp*lbar / me*ao = (lcbar)^2 / ao
= hbar*lcbar / me*ao*c.
2. {GUESS}Angular momentum is voltage*charge*second:
= volt*amp*(sec)^2 = V*A*(sec)^2
= + eV*sec = +(eK - L)*sec = +(eG - eM)*sec
= -(m1*v1^2 / 2)*sec = + pA = + nA*hbar = + V*A*(sec)^2
= - nA*mph*ls^2 / ts = - nA*Moo*loo*c / 4*pi
= - nA*me*lbar*c = - nA*a^2*me*loo*c
= - nA*Mp*lp*c = - nA*Mp*lp^2 / tp
= - nA*mph*ls*c
3. {GUESS}{ISS} general complexity Cg:
Cg = 1 + (pA*f / pL*c) = 1 + (eV / L) = eK / LaGrangian L
= (L + eV) / L = {L - (m1*v1^2 / 2)} / L
= (h + nA*hbar) / h = {h - (nA*Mp*lp^2 / 2)} / h
= 2*pi*Ri / h = Ri / hbar
= (2*pi + nA) / 2*pi
= (a + nA*ae) / a
= (h + pA) / h
Nomenclature:
L = LaGrangian
lcbar = Compton wavelength lc / 2*pi
ls = Planck length lp / 4*(pi)^2
hbar = Planck constant h / 2*pi = Dirac constant
Moo = Hartree energy eH / c^2 = a^2*me
a = fine structure constant
ae = electron Former anomaly
loo = Rydberg length = 1 / Roo
ts = Planck time / 4*(pi)^2
Mp = Planck mass
V = Volt
A = Ampere
eV = V*A*sec energy
nA = angular momentum number
mph = 2*pi*h / tp*c^2 = Planck mass Mp / 4*(pi)^2
= h*f / c^2 = pL /c
pL = Linear momentum
4. General Universal Equation of State System{GUESS} model:
4a. FINE STRUCTURE TABLE
n - 1 is the fine structure variable PERIODIC TABLE icon.
1. n - 1 = - 1 = i^2 ..for GR-tivity; Where mD / m1 = n = 0
2. n - 1 = 0 at buoyed weightlessness; '' mD / m1 = n = 1
3. n - 1 = ae, electron FORMER anomally; '' n = mn / mp
4. n - 1 = a, the fine structure constant; '' n = mp / u
5. n - 1 = + 1 = i^4 ; ..Where n = 2 = ge*(a + 1)*u / mn
6. u = mp / (a + 1) = H_2 / (a + 2) = H_2 - mp = H_1 - me
= mn / (a + 1)*(ae + 1) = 2*mn / ge*(a + 1) = mp - a*u
= atomic mass unit(amu) = FORMER standard atom / integer
= Integrated Standard System{ISS} Kilogram / Nu = He / 4.
4b. Hamiltonian Enthalpy energy E frame of reference..
Integrated Standard System{ISS} Hamiltonian Enthalpy energy E
= G*M1*m1 / (n - 1)*r + m1*v1^2 / 2 + m1^2*v1^2 / 2*M1
= m*c^2 + mph*c^2 - m1*v1^2 / 2
= m*c^2 + pL*c + pA*f
= eM + h*f + eV
= eM + L + eV
= eM + eK
= L + eF + eK
= eG - eV + eK
= eG + L
= eG + h*f
= eG + pL*c
= eG + mph*c^2
= eG + (m1*v1^2 / 2)*{(m1 / M1) + 1}
= eG + m1*v1^2 / 2 + m1^2*v1^2 / 2*M
= G*M1*m1 / (n - 1)*r + m1*v1^2 / 2 + m1^2*v1^2 / 2*M1
Nomenclature:
pL = Linear momentum = Angular momemtum pA / radius r
f = nL*c / wl = nA*c / 2*pi*r = pL*c / h = pA*c / h*r = frequency
h = Planck's constant = 2*pi*hbar
mph = h*f / c^2 = pL / c = photon mass (NOT a rest mass m)
= L / c^2 ..is not relativistic.
L = E1 - E2 = E - eF - eK = E - eM - eV = E - eG = h*f = pL*c
= eM - eF = mph*c^2 = a well-defined Lagrangian.
eK = mph*c^2 - m1*v1^2 / 2 = h*f + eV = kinetic energy
eV = pA*f = -(m1*v1^2 / 2) = voltage times charge ..V*A*sec
eM = rest energy = m*c^2 = E - eK = E + m1*v1^2 / 2 - mph*c^2
= E - eV - L = eG + m1*v1^2 / 2
= [{G*M1*m1 / (n - 1)*r} + m1*v1^2 / 2] = eG - eV
= Newton's energy for an isolated system including mass M1
with test mass m1 at velocity v1 in its vicinity reduces to three
zero point lattice vibration energy phonon quanta of h*f / 2 each.
(Fine structure variable n - 1 is included and n = mD / m1 = 0)
= Er*sqrt[1 - (vr^2 / c^2)] = Mr*c^2*sqrt[1 - (vr^2 / c^2)]
= Sr*c^4 / 2*G = (universe mass)*c^2*sqrt[1 - (1^2 / ®^2)]
--all these eM's are intrinsic energy equivalents of rest mass m.
n - 1 = (mD - m1) / m1 = (mD / m1) - 1 = (signetic mass mS) / m1
= Integrated Standard {IS} fine structure VARIABLE
m1 = Integrated Standard System {ISS} test particle
v1 = m1 velocity or required velocity in the vicinity of M1
r = v1^2 / g = orbital or equivalent orbital radius of m1 around M1
g = 4*(pi)^2*(pendulum length) / (pendulum period)^2 = v1^2 / r
= G*M1 / (n - 1)*r^2 = G*M1*m1 / mS*r^2 = eG / m1*r
mD = mass discharge of ambient from {ISS} test particle m1 cavity
--note that mD = m1 at the point of buoyed weightlessness.
mS = (n - 1)*m1 = signetic mass = fine structure variable times m1
eF = Helmholtz Free energy = eM - L = eG - eK
eG = eM + eV, --(can also= 2*eP in an isolated system)
= eF + eK = E - L = Gibb's free energy
Er = Integrated Standard System {ISS} relativistic energy applies
only to rest mass m for two obvious reasons:
1. Photon mass mph = h*f / c^2 = L / c^2 is not relativistic.
2. Central mass M1 and test mass m1 at velocity v1 in its
vinicity constitute an isolated system's rest mass.
Mr = rest mass m / sqrt[1 - (vr^2 / c^2)] = relativistic mass
vr = rest mass relativistic velocity
Sr = isolated mass system's Schwarzschild GR-'radius'
c = reference rate constant with a magnitude of photon velocity
G = universal gravitational constant
® = Roundness coefficient of self-shrinkage by increased mass
Notes:
1. sqrt[number] = square root of [number].
2. * is a multiplication sign which separates icons.
In ER-tivity(Einstein's Relativity), Einstein's Law states:
^^^^^ ANY energy e = VARIABLE mass times c squared ^^^^^
This is Einstein's Equivalence Principle(EP) and is NOT to be
confused with the GR-tivity Principle of Equivalence(the PoE).
In ER-tivity photon mass mph = h*f / c^2 is NOT rest mass m.
Sincerely,
`````arcsign````` < bast...@avalon.nf.ca > feb 23, 2002
p.s.
Other notes follow..
Voltage times charge eV is equal to - m1*v1^2 / 2, --using
one excludes the other. NO energy state can be both increased
and decreased at the same time.
Fine structure variable n - 1 = mS / m1 = (mD / m1) - 1
= (mD - m1) / (do - di)*Vi = (mD - m1)*Po / (Po - Pi)*Vi*dx
= (mD - m1) / m1 = (mD - m1)*v1^2 / eG
Signetic mass mS = (n - 1)*m1 = mD - m1
--where n = mD / m1 = mS / m1 + 1
--and where do and di are the inside and outside densities
of evacuated shell mass m1, Vi is it's inside ''volume'', and
v1 is the required velocity at radius r and potential gravitational
acceleration g. Cavity Volume Vi = cavity mass / cavity density.
Ambient Discharge mass mD = (n)*m1 = mS + m1.
Ambient Discharge mass mD controls the sign and magnitude
of g and v1 at r. It is the ambient mass discharged from inside
shell mass m1. The required orbital velocity v1 varies with mD.
Hovering shell mass m1 = Vi*(do - di) = Vs*ds
= (E - L) / r*g = Vi*(Po - Pi)*(unit density) / Po*r*g
= 4*Vi*(shell stress S)*(unit density) / Po*{(dia / th) + 1}
= 4*Vi*th*(S)*(unit density) / Po*(dia + th) = eG / r*g
= mD / n = 1 + (mS / m1) = mS / (n - 1)
--where:
Vi = pi*(dia)^3 / 6 = hovering spherical CAVITY volume
mD = amount of ambient discharge mass from m1 cavity
= n*m1 --at hovering mD = m1
= (mS / m1) + 1
Signetic mass mS varies with the required velocity.
[--does that sound familier ?]
do = outside ambient density
di = inside ambient density
r = M1 to m1 centre to centre separation radius
g = potential gravitational acceleration at radius r
r*g = v1^2 = (orbital velocity of m1)^2
E = Integrated Standard{IS} Enthalpy energy
L = eK - eV = E - eM - eV = E - eG
= E1 - E2 = the Light or phonon = LaGrangian.
Po = outside ambient pressure
Pi = inside ambient pressure
dia = hovering inside diameter of m1 cavity
th = hovering shell mass m1 thickness
Google group search: < http://groups.google.com >
< electron magnetic moment FORMER 'anomaly' >
```brian < bast...@avalon.nf.ca > mar 3, 2002
> GREAT ASCII MATH.
^^^^end of post.