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A n y o n e
with knowledge of mathematics in intermediate school level can see some
of the
most incredible omissions of leading
physicists all world on a lot of decades
!
We will take a sample of a frequency from a region of electromagnetic spectrum, that has been
granted worldwide in the broadcasting corporation for transmission of recreational programs and informative emissions and in brevity it called
" band of FM". We will take the rounded frequency of 90 MHz.
We will take as sample also a second higher frequency, around of a channel,
which used for radio-television transmission via the satellites, as the one that has use the famous channel CNN International Europe, from the
satellites HotBird in the 13E, the frequency 12,597 GHz.
In order to we find results in usual units
of measurement and for the facilitation of the work, we will change the frequencies in
Hz.
• The frequency
f 90 MHz = 9
× 107 Hz
• The frequency
f 12,597 GHz = 12597
MHz = 12,597 × 109 Hz
►
The length of wave λ in meters, according to the formula
of Physics λ=c
/ f is
:
• λ = 2,997924 × 108
/ 9 × 107 Hz = 3,331026
m
• λ = 2,997924 × 108
/ 12,597 × 109 Hz = 0,0237987139 m =
2,37987139 ×10-2 m
(that is to say
roughly 23,7 mm)
Velocity of light
c we took 2,997924
× 108 m/sec
►
The energy E of the photons in Joule, according to
the formula E=h f
• E =
6,62606 ×10-34 × 9 × 107
Hz = 59,63454 ×10-27 J
• E = 6,62606 ×10-34
× 12,597 × 109 Hz = 83,4684778 ×10-25 J
h is the constant Planck
= 6,62606
×10-34 J x sec
Mathematically, we can continue making
calculations also with other units, without this means that we find real phenomena,
such as :
►
The force F results from the formula of physics
F=E/λ
• F = 59,63454 ×10-27
/ 3,331026 m = 17,902754 ×10-27 Newton
• F = 83,4684778 ×10-25
/ 2,37987139 ×10-2
m = 35,072684 ×10-23 Newton
►
Some power P results from the formula
P = h f2
• P = 6,62606 ×10-34
× (9 × 107 )2 = 536,71086
× 10-20 W
• P = 6,62606 ×10-34
× (12,597 × 109 )2 =
1051,452415 ×10-16 W
►
Some quantity of acceleration ±a results from the formula
a=λ
x f2
= c2 /
λ
• a = 3,331026
× (9 × 107 )2
= 269,813106 ×1014 m/sec2
• a = 2,37987139
×10-2 × (12,597 × 109
)2 = 377,648485 ×1016 m/sec2
►
The frequency from acceleration, with type
f = a/c = c/λ
• f = 269,813106 ×1014
/ c = 90 ×106 Hz
• f = 377,648485 ×1016
/ c = 125,97 ×108 Hz
►
Some quantity of mass M results from the formulas
Ε=M
c2 →M = E/c2 = F/a
• M = 59,63454 ×10-27
/ 8,98755 ×1016 = 6,635238 ×10-43 kg
• M = 83,4684778 ×10-25
/ 8,98755 ×1016 = 9,2871224 ×10-41 kg
►
From the previous simple mathematic calculations, we can find and observe particularly
one constant (E/a)
that it is not an accidental number:
•
E / a =
59,63454 ×10-27
/ 269,813106 ×1014 = 2,210216 ×10-42
•
E / a =
83,4684778 ×10-25
/ 377,648485 ×1016 = 2,210216 ×10-42
This number we call constant, because
from each calculation energy/corresponding acceleration (E/a)
from each frequency of electromagnetic spectrum, we find this same number. The units
of this quantity, according to physics are {Joule/(m/sec2)} that is to
say kg m
Joule = kg m2
/ sec2
►
This constant quantity we find also from product mass x length of
a wave
(M x λ)
that we will meet in a lot of formulas. That is to say (with the example of electron):
Mass (rest mass, if we call it) of electron
Me on the length λ (Compton) equal=
Me
× λe
= 9,10938 ×10-31 kg × 0,24263 ×10-11 m = 2,21021 ×10-42
Precisely the same quantity we find from
the equivalent mass of frequencies 9 × 107 Hz
and 12,597 × 109 Hz
6,635238 ×10-43
× 3,331026
m =
2,21021 ×10-42
9,2871224 ×10-41
× 2,37987139
×10-2 m =
2,21021 ×10-42
In other words, from an off-hand and
wholesale calculation, which it could make a mediocre student, we trip on a constant
quantity (the 2,21021 ×10-42), that with few curiosity or from interest
we can investigate, with the expectation that possibly we find something important.
►
This constant quantity is mathematically also summarisen according to the symbols
that we used :
E/a
= h f / a = M λm
= h / c
From these relations appears the relation
of Newton with a relation, which it acquired enormous importance after the formulation
of Einstein's theory (relativity).
M × a = E/λ and E/M = a × λm = c2
In point of fact, if somebody which does
not know well from formulas, makes the simple calculations, (as it became above) with quantities
of mass M, energy E, acceleration ±a, length l, frequency f and with speed c, he will
perceives that the relations are in effect.
As an example with the elements of identity
of electron:
ae
= Ee
/ Me
λe
= λe fe2
= c2 / λ →
ae
= 81,871
×10-15 / 9,10938 ×10-31 × 0,24263 ×10-11
= 37,042 ×1027 →
a ×
λm
= c2 →
37,042 ×1027 × 0,24263 ×10-11 = 8,9875 × 1016
= c2
• This constant quantity
E/a = h f / a = M
λm = h / c = 2,21021
×10-42 kg·m we find it also from other
experimentations with the formulas and with other coincidences,
that a worse physicist in the world, he could have exceeded the
problems that place today worldwide researchers about
structure of matter and Universe and from the season of Albert
Einstein! In this page, will not be included all relations
that lead to this physical constant.
Look at fast
here. In physics is known since 1924, the Louis de Broglie's relation λ=h/MV. Ιf the velocity V=c is given immediately the constant
relation λ Μ = h / c.
►
The relations
E/a = h f / a = M λm
= h / c are not accidental and the
quantity (2,21021 ×10-42 kg m)
that results would be one of the infinity numbers that we discover, when we make numerical calculations
beginning with the important information of physics. The Planck's
constant that
we symbolize with the letter h and expressed with momentum units (kg m2
/ sec) is related with the quantity h/2π = hbar in the structure of matter
and adjusts the radius in the " orbits " of electrons. If we take the
quantity hbar as a length of a minimal radius (Rmin), then we can investigate theoretically
and with simple calculations (ω = c/Rmin) in order to look, if this thought has a good prospect
in the Science. The investigation of this elementary quantity h/2pi, also of the
constant M·λ, with the simplest
thoughts and with a multitude of numerical calculations, they reveal
in the eyes of an uninformed person, that numerical constant 2,21021 ×10-42
does not express only the certain units of physics kg·m. The bigger importance of this constant, it does not appear with the admissible units of
physics. Initially, we can to suspect its usefulness from simple rational thoughts. If we try to give the definition about mass,
when we rethink the historical origin of term " mass " through the observations of big material bodies and if we aim at the big question, that
it is found by first in priority in the world research for the comprehension of the structure of matter and Universe. The question, how is
presented mass in microscopic dimensions with the form of microscopic particles, it was not been the most difficult in the history.
The solution in problem was simpler as
long as it was expected (so as it appears from the philosophical
effort that it led to the formulation of " Theory about a
Finished/Completed Time and Relativity of Energy
" and without fail it needed first to we know very well the electromagnetic phenomena.
The phenomenon that was named mass or inertia and was
determined mathematics with the
important study of Newton (M=F/a) on the 17th century, it expresses a relation wider
than the one that we describe with the bodies of our visible world.
It is not a phenomenon perfectly different and with remote
relation of the electromagnetic phenomena and changes in the energy of waves. The presence of
mass preexists in to more general phenomenon of change in motion. " Because, with the action of
constant force, the speed does increase depending on per time, mass express the
relation of time that is required in order to does accelerate itself a inactive body
in this speed " as I found it written in a book of physics.
This relation of time exists also without the inactive body and
its motion! We will discover that change in motion is possible and happens in the case of electromagnetic
waves, which is caused, as the all waves, by the perturbation of a constant/common
and inactive carrier (or vehicle), which we call " free space ".
The difficulty
we comprehend the structure of matter, it results because
are exist dynamic phenomena without the presence of some
constant material body, such as it happens in the macroscopic
world of our daily experience. Contrary to the macroscopic
world, where mass constitutes its substance and something
separate of secular forces. We seek to learn how is created or maintained
the phenomenon of mass in microscopic dimensions, with the
invisible presence of a common and finite
free space and with the oscillation of its energy.
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