GEOMETRICAL DIMENSIONAL ANALYSIS
DEC 30 07
The Outlaw Map of Physics
True wherever and however written, the definitions and formulas of
the physics you thought you knew erect a 4D concept and factor map.
Unit Definitions Project a Lattice of Logic
The International System of Units (or SI) is a consistent, coherent
set: the mapping conventions project its members as a vector space.
Numbers Don't Lie
Fundamental constants portray the atomic units and the SI as a 4D
map, a 4D logarithm table, and a 4D structured natural unit system.
The Gravitational Constant Has the Value 6.6917625e-11
Readjustment of the official Planck unit values combines with modern
experimental results to impel a specific value for the gravitational
constant and question the adequacy of the International System.
Read the Article Values table Symbol key References
Tutorial Template1 Template2
The Open Letter:
I PREDICT that no more elegant way to map physics will be found.
=================================++=================================
With reference to
023: National Institute of Standards & Technology, "Adopted Values
Table", "Frequently Used Constsants Table", CODATA 2002 values of
the fundamental constants, and "allascii.txt", seen 12/20/07 at
http://physics.nist.gov , verify these excerpts:
If AUN = atomic unit of,
1/[2af] = AUN time, [2af] = AUN frequency,
[a0]= AUN length = Bohr radius, [B0]= AUN Magnetic flux density,
[aa]= Fine structure constant, [c ]= Speed of light in vacuum,
[d ]= Magnetic constant, [i0]= AUN current,
[k ]= Electric constant, [Ke]= 1/([4Pi][k]),
[Me]= AUN mass = mass of electron, [Pi]= Circumference to diameter,
[Q0]= AUN charge = electron charge, [RK]= von Klitzing constant,
[v0]= AUN velocity, and [w0]= Magnetic flux quantum,
then, as defined by the SI,
[Kilogram] = [Coulomb][Second][Tesla] :
mass is charge X time X magnetic flux density
as in [Me] = [B0][Q0]/[2af],
[Kilogram] = [Farad][Meter^2][Tesla^2] :
mass is capacitance X length squared X magnetic flux density squared
as in [Me] = ([B0]^2) x [Atomic unit of Polarizability],
[Kilogram] = [Weber^2][Farad]/[Meter^2] :
mass is magnetic flux squared X capacitance per length squared
as in [Me] = ([w0]^2)/{([Pi]^2)[Ke][a0]},
[Kilogram] = [Coulomb^2][Henry]/[Meter^2] :
mass is charge squared X inductance per length squared
as in [Me] = ([Q0]^2)[d]/{[4Pi][a0]([aa]^2)},
[Kilogram] = [Ampere^2][Ohm][Second^3]/[Meter^2] :
mass is current squared X resistance X time cubed per length squared
as in [Me] = ([i0]^2)[RK]/{[2af]([v0]^2)[2Pi]}, and
[Kilogram] = [Coulomb^2][Second^2]/([Farad][Meter^2]) :
mass is ((charge X time per length) squared) per capacitance
as in [Me] = ([Q0]^2)/[{[4Pi][k][a0]}{([aa][c])^2}].
Compare maps and verify: the units of the gravitational constant are
(Meter^3)/[(Kilogram)(Second^2)] OR
(Farad)(Meter)(Volt^2)/(Kilogram^2) OR
(Meter)/[(Farad)(Second^2)(Tesla^2)] OR
(Farad)(Meter)(Ohm)(Watt)/(Kilogram^2) OR
(Meter)(Weber^2)/[(Henry)(Kilogram^2)] OR
(Coulomb^2)(Meter)/[(Farad)(Kilogram^2)] OR
(Ampere^2)(Weber^2)/[(Kilogram^2)(Newton)] OR
(Ohm)(Meter^3)/[(Kilogram)(Henry)(Second)] OR
(Coulomb)(Meter^3)(Tesla)/[(Kilogram^2)(Second)] OR
(Newton)(Meter^2)/(Kilogram^2).
=================================++=================================
As the author, I declare this hypertext material and the original
copyrighted GDA article in the public domain.
Though produced with care, they are supplied without warranty.
If my work makes you money, save me some.
If it gets you to the moon, save me a seat.
John Aikman