(E=mc^2) transcends dimensional analysis and leads to unity of constants.
- From: cjcountess <cjcountess@xxxxxxxxx>
- Date: Tue, 10 Mar 2009 12:32:33 -0700 (PDT)
Hi this is Conrad Countess again,
I just want to reiterate a couple of very important points that I
stated earlier, to maintain web presence of this important discovery,
stir things up, and create a more complete picture that, (c^2), in
equation, (E=mc^2), is a frequency/wavelength, at high end of EM
spectrum where energy attains rest mass, because the 90 degree angular
speed and momentum equals and balance the linear speed and momentum,
for a balance of centrifugal and centripetal forces, resulting in
circular and or spherical rotation.
see :: http://docs.google.com/Doc?id=dsn5q6f_101hgtjv9fb
or
http://docs.google.com/Doc?id=dsn5q6f_102hm2wwrhf
This is a very critical frequency/wavelength where energy turns to
matter and the geometrical interpretation of it is leading to a wave
of other discoveries.
Here are a couple.
1) E=mc^2, transcends "Dimensional Analysis".
Dimensional analysis states that, and this is directly copied from
http://en.wikipedia.org/wiki/Dimensional_analysis
Introduction
pp 1 "The dimensions of a physical quantity are associated with
combinations of mass, length, time, electric charge, and temperature,
represented by symbols M, L, T, Q, and Θ (respectively) each raised to
rational powers. As examples, the dimension of the physical quantity
speed is "distance/time" (L/T or LT -1), and the dimension of the
physical quantity force is "mass×acceleration" or "mass×(distance/
time)/time" (ML/T 2 or MLT -2). In principle, other dimensions of
physical quantity could be defined as "fundamental" (such as momentum
or energy or electric current) in lieu of some of those shown above."
pp 2 "Two different units of the same physical quantity have
conversion factors between them. For example: 1 in = 2.54 cm; then
(2.54 cm/in) is called a conversion factor (between two
representations expressed in different units of a common quantity) and
is itself dimensionless and equal to one. There are no conversion
factors between dimensional symbols."
pp 6 "only quantities of the same dimension can be added or
subtracted. For example, the mass of a rat and the mass of a flea may
be added, but the mass of a flea and the length of a rat cannot be
meaningfully added. Physical quantities having different dimensions
cannot be compared to one another either. For example, "3 m > 1 g" is
not a meaningful expression."
pp 7 "Only like-dimensioned quantities may be added, subtracted,
compared, or equated. When unlike dimensioned quantities appear
opposite of the "+" or "-" or "=" sign, that physical equation is not
plausible, which might prompt one to correct errors before proceeding
to use it.
Sure we know about fleas and rats but dimensional analysis is
transcended by E=mc2, which is equating two previously unrelated
qualities (energy and matter). These were just as different as mass
and length in the old days and would have been a violation of
dimensional analysis before E=mc2. As a matter of fact, mass, length,
charge, time, and energy, are not supposed to be equatable and
conversion factor is said to be dimensionless and non existent between
dimensional symbols, of which we know (E) and (m), in E=mc2 are, as
well as knowing that this conversion factor c2, is dimensional (has
real physical significance), as Einstein showed according to:
http://en.wikipedia.org/wiki/Mass-energy_equivalence
It states:
This expression for the energy implied that matter at rest has a huge
amount of energy, and it is not clear whether this energy is
physically real, or just a mathematical artifact with no physical
meaning.
under section:
Low-speed Expansion
By considering the emission of energy in different frames, Einstein
could show that the rest energy has a real physical meaning.
The geometrical interpretation of E=mc^2 reveals c2 to be a
dimensional, ( real physical dimensions), conversion unit between not
only, energy and matter, but time, length ,charge, inertial
mass=gravitational mass.
2) From a careful analysis of what was right under our noses, the most
famous equation in the world, Einstein's ( E=mc^2), I have found that
(c^2), is not just a mathematical conversion factor of energy to
matter, but an actual conversion frequency/wavelength, which is the
high frequency cut off of both radiation and matter. This might affect
renormalization and running coupling constants problem in quantum
physics and show that the Planck scale if set to (G = c^2 = h/2pi),
and (c = h), instead of (c = h/2pi = G), will allow for the unity
of not only the constants but also the dimensions of energy, matter,
time, charge, length, and temperature, as well as others and is
nowhere near the out of reach so called Planck scale described at
http://en.wikipedia.org/wiki/Planck_scale
(E=mc^2, geometrically interpreted as E=mc^circled), is proving to be
a very revealing and revolutionary discovery.
Conrad Countess
.
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