A Hubble Experiment to Confirm the Existence of Photons
I hope to encourage NASA and/or observational astronomers to
proceed with a simple experiment, which seems ideally suited for the
Hubble telescope. Very large telescopes like the Hubble are
capable of seeing extremely faint stars. The amount of light we receive
from such stars is so small that "time exposure" photographs
are the only method of accumulating an image of them. Light is collected
for hours, to capture enough to form a tiny point image. All Physicists
know that this light arrives as discrete photons and not as
a continuous supply of light energy.
The reasoning here is that WHILE collecting the light for such a long
exposure of a very faint star, many individual photons would be captured AND
there should also be intervals where no photons are collected. A normal
time-exposure would never be aware of this, because all that is desired
is the collected total of light over the whole exposure period.
What is suggested here is to piggy-back on to a standard observation,
a second experiment. A standard counter circuit could be used to
count how many photons arrived in, say 1/20 second intervals.
It will be suggested below that a source with magnitude +24 should
be providing photons at around 4 per second (for a telescope with a
mirror of one square meter area). If twenty "polls"
were made during that second, of the electronic output of a pixel of the
detector array, it should be that four of the polls would
usually show one reception and the remainder would show zero.
In principle, each pixel element of the detector array could be
polled in this way.
A simple sequential display of those polling results should demonstrate the
discrete nature of the photon reception in this way.
This would confirm again the reality of the particle nature of light.
At the Earth's distance from the Sun, we receive solar energy at about
1350 watts per square meter of area. This can also be described as
1350 Joules per second
per square meter or 1.35 * 1010 ergs per second per square meter.
This amount of energy reception is for the Sun, which is at a Visual
Magnitude of -26.
The energy carried by an individual photon is given by the product of
Planck's constant and the frequency of the radiation. Planck's constant
is about 6.6 * 10-27 erg-seconds. Sunlight is made up of a spectrum of
colors, and therefore wavelengths or frequencies. A central wavelength
is often taken as 0.556 micron or 5560 Angstroms. Since the product of
frequency and wavelength is equal to the speed of light (3 * 108 meters
per second), simple math gives a frequency of this light as about
5.4 * 1014 cycles per second. Multiplying this value
by Planck's constant gives 3.6 * 10-12 ergs as the energy
of a single photon (of that color light).
Using the above value of Solar energy of 1.35 * 1010 ergs per second
per square meter, this means that this represents about 3.8 * 1021
photons per second per square meter of reception area, from the Sun, which
is at Visual Magnitude -26.
For each 5 Magnitudes fainter, the brightness or intensity of the radiation
received is less by a factor of 100 (by definition). Thus, a source of
a brightness of Magnitude -21 would supply us with 1/100 as many photons,
or 3.8 * 1019. Extending this analysis, a source of Magnitude +24
(well within the ability of large telescopes), would be supplying us with
light at the rate of about 3.8 photons per second.
IF 3.8 photons per second are received per square meter of
reception area, the Hubble's 4.5 square meters of primary mirror
area would collect roughly 20 photons per second from each (+24 magnitude)
star. During a very brief time interval, say 0.01 second, only about 1/5
of the actual stars should record on the exposure, due to reception
of an individual photon from that star during that 0.01 second.
If an array count chart was made for each pixel of a detector array
for that 0.01 second, only around 1/5 of the objects should seem to
appear. During the NEXT 0.01 second, other pixels would be triggered,
resulting in an extremely different pattern (during that brief poll).
A series of such brief interval "polls" which essentially
acts as a rapid series of exposures should then each show a random assortment
of visible stars of the field. If that sequence was then viewed
sequentially, all of the constituent stars would seem to blink,
with each being visible about 1/5 of the time. The conventional
time-exposure result would just show the standard desired appearance,
showing all the stars at their appropriate brightnesses.
The existence of this result would confirm once again the quantized
nature of light. A wave nature would not demonstrate any of the
"blinking" described above, and each star's image would be constant.
Such an experiment would also confirm the reality of Planck's constant and
other basic premises of Physics.
I am not aware that anyone has ever done such an experiment. If
it has been done, please inform me and accept my apologies for
overlooking your efforts!
There would appear to be some additional important consequences of
this effect, assuming it actually exists. The amount of energy
carried by a single photon is dependent on the wavelength of the
light it represents. That implies that the individual polls of Magnitude
+24 (or fainter) objects will necessarily include reception of photons of
various energy contents, due to the different colors of the light being
received. Careful analysis of the polled results might offer some
data on this. Photons of violet light should cause the detector to
give an output with more amplitude than photons of red light.
An analysis of the amplitudes of those individual photons should
essentially give a spectrum of the object, one photon at a time!
Again, a solidly accepted portion of Physics would thereby be confirmed.
This presentation was first placed on the Internet in February 2000.
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C Johnson, Physicist, Physics Degree from Univ of Chicago