The Cosmic Game ( PDFDrive.com )

Cosmic Game © Douglass A. White, 2012 v151207 152
Defining the Fundamental Properties of Length, Time, and Mass
From our interpretation of the electromagnetic units in terms of mechanical units we can
now derive precise definitions of the fundamental mechanical properties (mass, length,
time) that we can measure in terms of the constants of physics and geometry.
Length: the Meter
The meter becomes the value of the weber unit (Wb). Here is how the Wikipedia
"Weber (Unit)" article introduces the weber, a unit of magnetic flux named for the
German physicist Wilhelm Eduard Weber (1804–1891).
"The weber may be defined in terms of Faraday's law, which relates a changing magnetic
flux through a loop to the electric field around the loop. A change in flux of one weber
per second will induce an electromotive force of one volt (produce an electric potential
difference of one volt across two open-circuited terminals).
Officially,
Weber (unit of magnetic flux) — The weber is the magnetic flux which, linking a circuit
of one turn, would produce in it an electromotive force of 1 volt if it were reduced to zero
at a uniform rate in 1 second.
In SI base units, the dimensions of the weber are (kg·m 2 )/(s 2·A). The weber is commonly
expressed in terms of other derived units as the Tesla-square meter (T·m 2 ), volt-seconds
(V·s), or joules per ampere (J/A).
1 Wb = 1 V·s = 1 T·m 2 = 1 J/A = 10 8 Mx (maxwells)."
What all this ballyhoo boils down to is that 1 Wb = 1 m, although they do not want to
come out and say so, and that makes the tesla its reciprocal. The meter is also then
encoded into the definition of the ampere as the current in two long parallel wires of
negligible cross section and d = 1 m apart in vacuum which gives rise to a magnetic force
(Fμ) per unit length (l = 1 m) on each wire of 2 π ×10 -7 N/m. This result arises from
Ampere's discovery of a force law:
Fμ / l = μo I1I2 / 2 π d.
(Here μo = 4 π ×10 -7 N/A 2 = 4 π ×10 -7 H/m.)
There is a question whether or not space is quantized. I think there is no way around it,
because space has meaning only in terms of the matter that resides in it, and all matter is
quantized into particles (protons and electrons), and there is a minimum distance allowed
between an electron and a proton even though they want to join together and do so when
conditions permit them to form into a neutron. This minimum distance is called the
Bohr radius, named after Niels Bohr, the scientist who first calculated this natural
displacement constant that appears to be due to inherent momentum in the electron --
which may be due to the possibility that elementary charge itself has the nature of
quantized momentum. We can express the Bohr radius (ao) as follows (where ħ is