Theory of CPH
Section 2
Experimental
Foundation of CPH Theory
Contains:
Introduction
Gravitational Red Shift
Gravity and the Photon
Mossbauer Effect in Iron-57
Mossbauer Absorption, Ir-191
Harvard Tower Experiment
Black Hole
Important Notice;
Compton Scattering
Notation
Pair production
Summary
Questionable Deduction1
Questionable Deduction2
References
Introduction
In this section I will take a new
looking on experimental phenomenon that relatives to
relationship between gravity and electromagnetic.
Notice that many
physicists, such as Faraday and Planck noted the great
similarities between electric fields and gravity. If a unified
field theory can be found, someone must resolve whether or not
it is based on particles and gravity fields or electromagnetic
fields. But CPH theory is some in between these two concepts.
CPH
Theory started of relationship between force and energy. Photon appears
to have no further internal substructure. But many phenomenons’s
as Compton’s effect, pair production, red-shift and blue-shift…
show photon has a structure.
We know there is a unit informer
in universe that is photon, and all of our information’s of
universe transfer by photon.
Until we do not know everything
about photon and its structure, our information’s about universe
is questionable.
Gravitational Red Shift
According to the principle
of equivalence from
general relativity, any frequency shift which can be shown to
arise from acceleration of a radiating source could also be
produced by the appropriate gravitational field. Thus the
expected shift in radiation frequency in a gravitational field
can be related to the relativistic Doppler shift experienced
from an accelerating light source.
The above result about frequency
of light for the first time proclaimed by Einstein in General
Relativity. In fact Einstein had attended to light like other
masses. Because in Relativity photon carries energy so, it has
mass.
Gravity and the Photon
The relativistic
energy expression attributes
a mass to any energetic particle, and for thephoton:
The gravitational
potential energy is
then:
When the photon escapes the
gravity field, it will have a different frequency:
Since it is reduced in frequency, this is called the gravitational
red shift or
the Einstein red shift.
For when photon is falling in a
gravitational field like the above formula is result able with
the opposite sign:
It calls
blue-shift. In generally we have;
The checking of
difference frequency was made possible by the discovery of
Mossbauer Effect. In 1958, Mossbauer discovered that some gamma
rays emitted from solids are come out without the nucleus
recoiling individually, the recoil being taken up by whole of
the crystal lattice, so there is a negligible Doppler shift. The
Mossbauer Effect experimented by Pound and Rebka (in1960) from
22.6m Jefferson's tower in Harvard University.
Mossbauer Effect in Iron-57
The
study of the Mossbauer
Effect in
Iron-57 has been very fruitful because of the narrow natural
line width of
the 14.4 keV transition. This transition is characterized by:
While one atom can emit a photon
which is absorbed by the reverse transition in an identical atom
a short distance away (resonance fluorescence), the same cannot
happen for nuclear transitions from isolated nuclei. The reason
is the large recoil energy compared to the natural line-width of
the transition.
Using the iron as an example, the 14.4 keV gamma
ray has momentum pc=14.4
keV. The recoil momentum of the emitting iron nucleus must match
that if it acts as an isolated particle. The recoil energy can
be calculated from the momentum, and it is usually convenient in
such cases to put everything in electron
volts.
The energy of recoil of the
iron-57 nucleus is
This is five orders of magnitude
greater than the natural line-width of the iron transition which
produced the photon. This recoil energy reduces the photon
energy by this amount as seen by a potential absorbing nucleus
at rest.
To get resonance absorption, you
have two options: nail down the nucleus in a crystal lattice so
that it has almost no recoil, or move the source and absorber
relative to each other so that the Doppler shift of the photon
moves it to the necessary energy for absorption.
Mossbauer Absorption, Ir-191
As
an example of the Mossbauer
Effect 129
keV gamma rays from iridium-191 were measured as a function of
source velocity. A velocity of only about 1.5 cm/s was enough to
drop the absorption to half its peak value. Sample and absorber
were cooled to 88K
A
half-width of only about 0.65 x 10-5 electron
volts makes this absorption an extremely sensitive test of any
influence which would shift the frequency. It is sensitive
enough to measure the Zeeman splitting from the magnetic field
of the nucleus. Such processes have been used as a test of the gravitational
red shift from
general relativity.
The
Mossbauer Effect involves the emission and absorption of gamma
rays from the excited states of a nucleus. When an excited
nucleus emits a gamma ray, it must recoil in order to conserve
momentum since the gamma ray photon has momentum. But this takes
energy, and the gamma photon has less energy by about 1 eV for a
100 keV photon. The sharpness of an energy state in a potential
target nucleus has a natural
line width on
the order of 10-5 eV,
so that the shift in the photon energy prevents the target
nucleus from absorbing the gamma photon.
Mossbauer discovered that by
placing emitting and absorbing nuclei in a crystal, you could
use the crystal lattice for recoil, lessening the recoil energy
loss to the point that these extremely sharp emission and
absorption lines would overlap so that absorption was observed.
An important result was that you now had an extremely sensitive
detector for energy shifts - a motion of either source or
absorber with velocities on the order of millimeters per second
was enough to detune the absorption.
Harvard Tower Experiment
A photon with energy E=mc2 has
mass that gives by;
m=hv/c2
And its weight is;
mg=(hv/c2)g
Suppose photon
falls toward the earth in distance y, so we have;
hv'=hv+mgy=hn+(hv/c2)gy
v'=(1+gy/c2)n
Relativistic
changing in its frequency is;
In
just 22.6 meters, the fractional gravitational
red shift given
by;
Is
just 4.92 x 10-15, but the Mossbauer
Effect with
the 14.4 keV gamma ray from iron-57 has
a high enough resolution to detect that difference. In the early
60's physicists Pound, Rebka, and Snyder at the Jefferson
Physical Laboratory at Harvard measured the shift to within 1%
of the predicted shift.
By
just using the expression for gravitational
potential energy near
the Earth, and using the m in the relativistic
energy expression,
the gain in energy for a photon which falls distance h is;
Comparing the energy shifts on
the upward and downward paths gives a predicted difference.
The measured difference was
The success of this experiment
owed much to the care of Pound and Rebka in preparing the
source. They electroplated cobalt-57 onto the surface of a thin
sheet of iron and then heated the combination at 1220 K for an
hour. The heat treatment caused the cobalt to diffuse into the
iron to a depth of about 300 nm or 1000 atomic spacing. The
source was then mounted on the cone of a loudspeaker driven at
10Hz to sweep the source velocity in a sinusoidal variation. The
detector was a thin sheet of iron about 14 micrometers thick
which was also annealed. The heat treatments were found to be
crucial in obtaining high resolution.
Notice:
There is a very important deduction
in Mossbauer Effect that is able shows a great relationship
between Quantum Mechanic and General Relativity. We can get an
important result of Mossbauer Effect and this experiment, if we
take a new look on it. This phenomenon has been connecting the
microscopic quantities to macroscopic effect. I endeavored to
have a new different looking to the effect of Gravitation on the
photon. But let’s do continue red-shift in gravitation effect on
photon in a black hole, and then do reconsider it again.
Black Hole
A
black hole is an object so massive that even light cannot escape
from it. This requires the idea of a gravitational
mass for
a photon, which then allows the calculation of an escape
energyfor
an object of that mass. When the escape energy is equal to the photon
energy, the
implication is that the object is a "black hole".
According to relation
When
a photon is not able escape of gravitational field of a black
hole? Answer is that when the frequency of photon shifts to
zero, because a photon moves by its kinetic energy, so when n=0,
then photon cannot escapes of a black hole. In the other word,
photon loses all of its energy.
So if mass M collapses to radius
r, a photon will be red-shifted to zero frequency.
Actually, Schwarzchilds's calculated gravitational radius
differs from this result by a factor of 2 and is coincidently
equal to the non-relativistic escape
velocity expression.
Note that this condition is
independent of the frequency, and for a given mass M establishes
a critical radius.
Important Notice;
When photon’s frequency shifts to
zero, all of its energy converts to Sub-photonic element that
photon has made of them. In the other word photon energy changes
to gravity energy that usually we call gravity intensity. Now
suppose a photon with very small scale energy (as microwave
background) falls in a black hole, what will happens for it? If
we do accept that there is correct the Mossbuaer Effect in black
hole, then frequency of photon will shifts to blue speedy.
Shifting frequency goes to what? As we know there is not any
limit for growing the electromagnetism wavelength. So, these
photons are able to produce any articles and antiparticle as
proton and antiproton. Seems in around of a black hole, is very
different of a star.
However, presently we are attending
to red-shift that photon loses all of its energy. And photon
does decay to its sub-photonic elements.
Compton Scattering
Arthur H. Compton observed the scattering of x-rays from
electrons in a carbon target and found scattered x-rays with a
longer wavelength than that incident upon the target.
The shift of the wavelength
increased with scattering angle according to the Compton
formula:
Compton explained and modeled the
data by assuming a particle (photon) nature for light and
applying conservation of energy and conservation of momentum to
the collision between the photon and the electron.
The
scattered photon has lower energy and therefore a longer
wavelength according to thePlanck
relationship.
At a
time (early 1920's) when the particle (photon) nature of light
suggested by the photoelectric
effect was
still being debated, the Compton experiment gave clear and
independent evidence of particle-like behavior.
Notation
The Compton Effect is approving that
photon has sub-photonic elements. In during the collision,
Photon loses a part of its elements. We must do consider Compton
Effect, Mossbuaer Effect, shifting to zero frequency and pair
production together.
Pair production
This process is effective at high
energies (>1.022 MeV). This is because the process is a result
of a g ray
converting to an electron-positron pair i.e. E= 2m0c2 where
m0c2 is
the rest mass of the electron). Although this energy is
relatively low, the process is only significant for g -ray
energies of several MeV
The kinetic energy can be
described as,
In
the process, the g ray
is converted to an electron positron pair as shown schematically
in figure. As the positron slows down, further annihilation
takes place resulting in the production of two photons of equal
energy (511 keV).
These annihilation photons have significance for the final
spectrum. If both are recorded then the full energy peak will be
registered. However, if only one is recorded, then the peak
would measure Eg -
0.511 MeV. Similarly, if both escape, energy of Eg -
1.022 MeV would be recorded.
Summary
As this section names Experimental
Foundation of CPH Theory, I tried show some experimental that
based on modern theoretical physics conceptions.
1- As
General Relativity proclaimed, frequency (and energy) of photon
depends path. In gravitation field photon shifts to blue (or
red).
2- Mossbuaer
Effect is based on Quantum Mechanics conceptions and experiments
show red-shift (also blue-shift) General Relativity’s proclaim
is correct.
3- In
black hole the frequency of photon shifts to zero. So, important
question is that; what will happens to photon energy when it is
escaping of gravitational field of a black hole?
4- In
red-shift (or blue-shift) photon can have following cases;
A. photon goes of n to n’
(n < n’),
it takes energy equal Dmc2; we
do not know Dmc2 goes
to what amount, especially in black hole.
B. photon
goes of n to n’
(n > n’),
it loses energy equal Dmc2; we know Dmc2can
be equal hn ,
photon shifts to zero frequency (in black hole).
Questionable Deduction1
Electromagnetic energy and gravity are
two seeming of one quantity. So, it shows Faraday, Plank and
Einstein (and other physics that tried to unified
electromagnetic and gravity) were not at wrong way. But what
they had not attend to which, is that gravity is forms of
sub-quantum elements that behavior like charge and magnetic
field. In fact gravitons are color-charge and magnet-color.
5- Compton
Effect shows we can take a part of photon energy. So, its other
reason that photon contains sub-photonic elements. According
This is a problem that
least amount of is
what? And sub-photonic elements have which properties?
Sub-photonics behave like charge or magnetic field?
6- Pair production shows,
before of production we have electromagnetic energy, after of
product we have two fermions (electron and positron), and two
electric fields (negative electric field of electron and
positive electric field of positron) and two magnetic field
around electron and positron. According Quantum field Theory,
there is photon bosons that carry electric forces.
Electron and positron have electric
fields and magnetic fields, Seems that before of pair production
there were not these bosons
So, it’s acceptable that
fermions produce bosons. Also, according red-shift and
blue-shift, boson produces electromagnetic energy, and according
pair production electromagnetic energy produces fermions.
Questionable Deduction2
According above items, is
not important how can unify fields without attend to structure
of photon? Consideration to structure of photon is not only
macroscopic problem, yea its microscopic problem.
The next section belongs to this
concept that how we can define structure of photon by CPH
theory. This definition must be able does explain the essence of
phenomenon’s relative. Over than we can see how this definition
of photon’s structure can help us to combine the Classical
Mechanics, Quantum Mechanics, Relativity and Higgs field.
References;
http://physics.ucr.edu/
http://physics.bu.edu/py106/Notes.html
http://www.physics.csbsju.edu
http://www.newadvent.org/cathen/06342b.htm
http://archive.ncsa.uiuc.edu/
http://physics.syr.edu
http://www.superstringtheory.com/experm/exper2.html
http://csep10.phys.utk.edu/
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