Some interesting basic math....
dean sinclair
I'm back with a bit of my "Crackedpottery that just might hold a
little water somewhere."..I beg your indulgence...
Jack O' , on the O/S site has proposed that there should be adopted
some sort of a basic quantum for quantum mechanical calculations.
Assuming that a "basic quantum" might correspond to the lowest
possible frequency that would be observable, let's see if we can
propose something.
Let us start with the fact that the number, One, can represent lots of
things including--for those who tend to think in differential
equations--any integration between nothing and something. That is the
integration of acceleration over time will produce a unit of velocity,
integrating momentum over time produces a "Unitary Expression for
Energy" if we wish to see it that way, and so on.
Realizing this we can write, in the Planck Equation, E=hNu, for a
whole unit of energy of our universe, One = h Nu , and rearrange
this to Nu (the frequency associated with the entirety) =
One/h. That is, the maximum frequency, shortest wave length,
"cut-off frequency," of the Universe involved with our communication
would be the inverse of Planck's Constant, "h."
This isn't what we want, it is the highest frequency! What can we do
to find the Lowest Frequency which we might think would define the
smallest possible quantum?
Let's go to another very simple, but, usually overlooked, mathematical
fact. That is, what may be called the "Reciprocal Rule of
Multiplication," or, perhaps, the "Ruling Equation of Existence,"
the simple little relationship, xy=K=yx, That is, if any two
values, or unknowns, equal a constant, the reversal of those values
will also produce the same constant.
Let's see if we can use the maximum value produced above to find the
minimal value by going to another constant of nature, "c," the Speed
of Light, and using the above relationship.
It is known that Frequency times Wavelength equals "c" That is, if
we can determine any frequency, we can determine the corresponding
wavelength. What we usually don't pay any attention to is that by
interchanging the Absolute Values obtained, we find an exactly
corresponding reversed set of frequency and wavelength.. so for
a frequency of 1/h we find that there will be a corresponding
wavelength having the value of 'c x h," ch, and there will be an
absolutely reversed possible set, where the frequency has the absolute
value previously associated with the wavelength, i.e., "ch" and the
correponding wavelength will have the absolute value of !/c. in
whatever unit system we are using.
t appears, therefore, that the value of Jack's basic quantum could
possibly correspond to the frequency having the value, "ch," In the
cgs system, this is about 2 x 10^-16 cps.
The corresponding wavelength could be suggested to be the size of the
"Universe" involved with us in the communication to which "h" and "c."
pertain.. Unless there is a decimal point missed somewhere, this
would be about 1.5 x 10^+26 cm. This, again, if there be no lost
decimal point, is somewhere in the neighborhood of 7 x 10^+23
miles.... Very definitely a long wavelength!
One may note that there is supposedly, something called "virtual
electrons" or perhaps we might more properly say "Virtual electron
'orbits.' " It may be that the frequency wavelength "symmetry"
through the speed of light which was used above could account for this
phenomenon, assuming it to be real.....
Cheers,
Dean Sinclair "ESKI" of the O/S Site