Auf Grund aktueller Erwähnung des Hoax-Falls Paul Trent aus den tiefen 50igern bei den drei Großen (scheinbar kann man sich einfach nicht von den fliegenden Untertassen verabschieden), als gäbe es keine anderen Fälle zum aufarbeiten...
CENAP-Michelstadt
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Psychic Vibrations
The first of Oregon farmer Paul Trent’s two photos of a supposed “flying saucer,” May 11, 1950.
Once again, farmer Paul Trent’s famous UFO photos from McMinnville, Oregon, are a hot topic in UFOlogy. Kevin Randle discussed the photos on his blog A Different Perspective, and a torrent of comments from researchers followed. Not just frothy opinion but highly detailed, meticulous comments about the camera angle and position, the weight and size of the hypothetical model, the load on the wires and a possible bend in them, etc. Ultimately this is important, but such matters are unlikely to give us a final answer. There is one thing about this case that everyone can probably agree on: as Randle says, “There are only two conclusions to be drawn about the pictures taken in McMinnville, Oregon. They either show a craft from another world, or they are a hoax. I do not see a third possibility.”
Partly in response to this, I wrote a long special report on the current status of the Trent photos on my BadUFOs blog. Space does not permit putting it in this column, so I include only the highlights here. You can read the long version, and see all the photos, at http://tinyurl.com/BadUFOsTrent.
On May 11, 1950, farmer Paul Trent of McMinnville, Oregon, snapped two photos of an object that he claimed was a flying saucer (the term UFO hadn’t been invented yet). There are inconsistencies in Mrs. Trent’s accounts of where her husband was when the object was first spotted and who went inside to get the camera. The Trents did not immediately tell anyone about the photos or rush them off to be developed. Instead, the film containing the invaluable flying saucer photos was left in the camera until Mother’s Day, so that a few unexposed frames would not be wasted. More general information on the photos is on my website at http://debunker.com/trent.html.
The famous (and to some, infamous) Condon Report included the Trent photos in its section of Photographic Case Studies as Case 46 (http://goo.gl/vaKe81). The principal investigator was William K. Hartmann—who, incidentally, was the first person to come up with the presently accepted theory about the origin of the Earth’s moon. This analysis attracted a lot of attention from UFOlogists, particularly because of Hartmann’s conclusion that
This is one of the few UFO reports in which all factors investigated, geometric, psychological, and physical appear to be consistent with the assertion that an extraordinary flying object, silvery, metallic, disk-shaped, tens of meters in diameter, and evidently artificial, flew within sight of two witnesses. It cannot be said that the evidence positively rules out a fabrication, although there are some physical factors such as the accuracy of certain photometric measures of the original negatives which argue against a fabrication.
Hartmann acknowledges, however, that a fabrication is possible:
The object appears beneath a pair of wires, as is seen in Plates 23 and 24. We may question, therefore, whether it could have been a model suspended from one of the wires. This possibility is strengthened by the observation that the object appears beneath roughly the same point in the two photos, in spite of their having been taken from two positions.
The sole factor suggesting that the object is distant is a measured anomalous brightness on the underside of the object in Photo 1, compared with the brightness of the shaded underside of the oil tank. The assumption is that, in the case of a model, the two shaded regions ought to have about the same brightness. Since the underside of the object is brighter than the underside of the tank, the assumption is that atmospheric scattering is the cause, and hence the object is at a significant distance from the camera. However, if any of the assumptions are incorrect, the photometry results are meaningless. Among the possible violations of those assumptions:
• The object is translucent, allowing light from the sky to pass through.
• The object has a mirror surface at the bottom, thus we are seeing a reflection of the bright ground and not a shaded surface.
• The underside of an object suspended several feet above the ground from the wires receives much more illumination than that of a tank near the ground, next to a wall. (I would expect this to be true.)
There are very distinct shadows on the garage in both photos, although the Trents claimed that the photos were taken around sunset. The problem is that the wall faces east, and the sun is in that position (about 90 degrees azimuth) at about 8:20 am PDT. If the photos were actually taken in the morning, then the Trents were lying about the circumstances of the incident. I found that, measuring the shadows, we can greatly restrict the size of the object casting the shadows. In fact, it is so small that it is almost certainly less than one degree. This eliminates every possible source of illumination except the sun.
In 2004, researcher Joel Carpenter (1959–2014) created a website on the McMinnville photos, making a very good case that the object was directly beneath the overhead wires and close to the camera. He suggests that the object was a mirror from an old truck. I have restored Joel Carpenter’s original McMinnville photos website (changing only the links), and placed it on the Internet Archive at http://tinyurl.com/CarpenterTrent.
One of Carpenter’s findings is that Trent’s camera was surprisingly close to the ground when the photos were taken. For some bizarre reason, Trent did not stand up to photograph his UFO, but instead crouched down. Carpenter explains,
Instead of moving toward the object and shooting the photos from eye level in the unobstructed front yard, he shot the two photos up, from a very low level, from the back yard. For reasons explained above, it seems likely that he actually used the viewfinder on the body of the camera while kneeling. The overall geometry of the positions and the attributes of the camera suggest that he was attempting to frame a nearby object in such a way as to maximize the amount of sky around it and enhance its apparent altitude.
In other words, Trent walked away from where the UFO was supposed to be and instead walked toward where the presumed model was hanging from the wires and crouched down close to the ground to make his “UFO” appear distant.
Since the camera moved a significant distance between Photo 1 and Photo 2, can the two Trent photos possibly be viewed as a stereo pair, to reveal the object’s distance? In 2010 an anonymous researcher calling himself Blue Shift did so on Above Top Secret(http://goo.gl/OEsXCi). When you cross your eyes to see the image in 3D, the “UFO” is seen to be small and relatively close to the camera compared with the distant hills. Another way of demonstrating the same thing: a montage by David Slater demonstrates that when the two Trent photos are overlaid so that the wires are lined up, the images of the “UFOs” line up as well (http://goo.gl/5JwJ6e). Both these demonstrations show that the “UFO” appears to be fixed with respect to the overhead wires.
In 2013 a group of French skeptics (IPACO) did an in-depth investigation of the McMinnville photos (http://www.ipaco.fr/ReportMcMinnville.pdf). They began with the usual description of the line of sight to the object in each photo, presumed suspension methods, etc. They concluded that the object is a small model.
More interesting is the second part of the report, completed two months after the first part: Evidence of a Suspension Thread (page 29 of the IPACO report). They do not claim to detect the suspension thread directly but instead statistically. They conclude, “For the TRNT1 picture, the presence of a negative peak (thread darker than the sky) was clearly observed which matched exactly to the supposed attachment point, with a significant difference of 2,38 sigma, for a tilt angle equal to -11°. . . . Application of the same method to the second picture TRNT2 provided comparable results, with a tilt angle of -10.29° and results of over 2.5 sigma.”
Now, another researcher has weighed in. Jay J. Walter of Phoenix, Arizona, the author of the suspense horror novel Blood Tree, did his own investigation. Working from high-resolution scans of first-generation prints that I sent him (scans I have now posted on the Internet Archive for anyone to research at http://archive.org/details/TrentHighResScans), he did his own photo enhancement using the venerable program ArtGem. He said that even using a 4.2ghz quad core 64bit processor with 8 gigs of system RAM, he was still getting “out of memory” errors. However, he persevered and produced a series of photos appearing to detect portions of a suspension thread above the object in both photos. The purported string cannot be seen across its entire length, which is consistent with the French skeptics being able to detect it only statistically. It is significant that Walter and the French team were working with different scans.
Another of Walter’s purported discoveries is what he calls a “logo,” an apparently flat area with two holes, where it appears a logo plate might be attached or possibly even a handle. Is this real, or is it simply “pareidolia”—seeing a pattern where none exists? Confirmation is needed.
Walter suggests that the object in question is an appliance motor shroud, approximately eight inches in diameter. “I think Trent walked to the garage one evening, tied a string to an appliance motor shroud via an old bolt, tossed the shroud over a wire and tied the other end of the string to an anchor near the ground, then took the two pictures. Logical, practical, and so much less effort for him than other theories. People just do what they do and Trent wasn’t going to go to too much effort just to fool his banker buddy.”
Do these new findings finally debunk the Trent photos? They would, provided they can be independently confirmed by other researchers, using other high-resolution scans from first-generation prints or the original negatives. Until then, people will continue to argue about such matters as the gauge of the wires and whether the model, if it was a model, would have to be five or six inches in diameter.
Quelle: Robert Sheaffer Skeptical Inquirer Volume 39.1, January/February 2015
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Special Report: The Trent UFO Photos - the "Best" of All Time - Finally Busted?
Once again, farmer Paul Trent's famous UFO photos from McMinnville, Oregon are a hot topic in UFOlogy. Kevin Randle discussed the photos on his Blog A Different Perspective, and a torrent of comments from researchers followed. Not just frothy opinion, but highly detailed, meticulous comments about the camera angle and position, the weight and size of the hypothetical model, the load on the wires and a possible bend in them, etc. Ultimately this is important, but such matters are unlikely to give us a final answer. There is one thing about this case that everyone can probably agree with: as Randle says, "there are only two conclusions to be drawn about the pictures taken in McMinnville, Oregon. They either show a craft from another world, or they are a hoax. I do not see a third possibility."
1950: The Origin of the Photos
On May 11, 1950, farmer Paul Trent of McMinnville, Oregon snapped two photos of an object that he claimed was a flying saucer (the term "UFO" hadn't been invented yet). There are inconsistencies in Mrs. Trent's accounts of where her husband was when the object was first spotted, and who went inside to get the camera. They did not immediately tell anyone about the photos, or rush them off to be developed. Instead, the film containing the invaluable flying saucer photos was left in the camera until Mother's Day, so that a few unexposed frames would not be wasted. More general information on the photos is on my web page http://debunker.com/trent.html .
After the photos had been developed, a reported who came to interview the Trents found the irreplaceable negatives lying "on the floor under the davenport, where the Trent children had been playing with them."
The story first appeared in the local newspaper the Telephone-Register. This led to a sensational national story in the June 26, 1950 issue of Life Magazine, then one the largest-circulation magazines in America.
William K. Hartmann and the Condon Report, 1968
The famous (and to some, infamous) Condon Report included the Trent Photos in its section of Photographic Case Studies as Case 46. The principal investigator was William K. Hartmann who, incidentally, was the first person to come up with the presently-accepted theory about the origin of the earth's Moon.
This analysis attracted a lot of attention from UFOlogists, particularly because of Hartmann's conclusion that
This is one of the few UFO reports in which all factors investigated, geometric, psychological, and physical appear to be consistent with the assertion that an extraordinary flying object, silvery, metallic, disk-shaped, tens of meters in diameter, and evidently artificial, flew within sight of two witnesses. It cannot be said that the evidence positively rules out a fabrication, although there are some physical factors such as the accuracy of certain photometric measures of the original negatives which argue against a fabrication.
Hartmann acknowledges, however, that a fabrication is possible:
The object appears beneath a pair of wires, as is seen in Plates 23 and 24. We may question, therefore, whether it could have been a model suspended from one of the wires. This possibility is strengthened by the observation that the object appears beneath roughly the same point in the two photos, in spite of their having been taken from two positions. This can be determined from irregularities, or "kinks," in the wires. The wires pass between the camera positions and the garage (left). We know from the change in orientation of the object that it moved, or was re-oriented by hand, between exposures. The possibility that it is a model hanging beneath a point on the wire suggests a further test: Is the change in distance of the object in Plates 23 and 24 equal to the change in distance from the wires? Measures of the disk indicate that it is about 8% further away in Plate 24. Measures of the irregularities in the wires indicate that they are further away from the camera in Plate 24. The amount of the latter increase from the wires (measured by the separation of rather ill-defined "kinks") is less certain than the distance increase from the disk, but it is measured to be about 10%. These tests do not rule out the possibility that the object was a small model suspended from the nearby wire by an unresolved thread.
Given the foregoing analysis, one must choose between an asymmetric model suspended from the overhead wire, and an extraordinary flying object
The sole factor suggesting that the object is distant is a measured anomalous brightness on the underside of the object in Photo 1, compared with the brightness of the shaded underside of the oil tank. The assumption is that, in the case of a model, the two shaded regions ought to have about the same brightness. Since the underside of the object is brighter than the underside of the tank, the assumption is that atmospheric scattering is the cause, and hence the object is at a significant distance from the camera.
When I read this, I immediately thought of at least one other possible explanation for the anomalous brightness. When observing bright stars or planets in telescopes, we invariably see light scattered by the optical system from bright objects into adjacent dark areas. The same thing happens in cameras. The technical term for this is veiling glare. The cheaper the optical system, the more light that tends to get scattered, and Trent's camera was a budget model, not professional quality. This is especially troublesome when fingerprints or other smudges accidentally get onto the lens, which certainly happens to me, and probably to most other people.
The significance of this is that while the dark underside of the object is immediately adjacent to the bright sky, the bottom of the tank is in a large, dark area of the photo. Hence one would expect more light from the surroundings to spill over into the bottom of the "UFO" than into the bottom of the oil tank.
I was an undergraduate at Northwestern at this time. I decided to test this hypothesis by photographing a concrete light pole in the daylight, with the top of the pole surrounded by bright sky, while its bottom was against a much darker background. I found a professor who had a densitometer in his lab, and would show me how to use it. I measured a series of photos and, while the top of the pole was only a little brighter than its bottom with a clean optical system, the addition of just a little petroleum jelly to degrade the optical system greatly increased the amount of veiling glare - spilled-over light - in the photos.
UFO researcher Bruce Maccabee has measured the original Trent negatives. He argues that, while veiling glare is indeed present, it isn't enough to account for the anomalous brightness. But even if that conclusion is correct, if any of Hartmann's assumptions are incorrect, the photometry results are meaningless. Among the possible violations of those assumptions:
- If the object is translucent, allowing light from the sky to pass through.
- the object has a mirror surface at the bottom, thus we are seeing a reflection of the bright ground, and not a shaded surface.
- If the underside of an object suspended several feet above the ground from the wires receives much more illumination than that of a tank near the ground, next to a wall. (I would expect this to be true.)
Very sharply defined shadows in both photos - obviously cast by sun
There are very distinct shadows on the garage in both photos, although the Trents claimed that the photos were taken around sunset. The problem is that the wall faces east, and the sun is in that position (about 90 degrees azimuth) about 8:20 AM PDT. If the photos were actually taken in the morning, then the Trents were lying about the circumstances of the incident. I found that, measuring the shadows, we can greatly restrict the size of the object casting the shadows. In fact, it is so small that it is almost certainly less than one degree:
The angle abc above represents the radius of the illuminating body. Assuming these measurements, it is the arctangent of .004, which is 0.229 degrees. This matches extremely well with the known average apparent radius of the sun, which is approximately .25 degrees. Even an undetected reduction of 20% in the size of the shadows in the photo, which is highly unlikely, allows the radius of the illuminating body to be no larger than 0.46 degrees (diameter 0.92).
The maximum possible diameter of the illuminating body is thus shown to be less than one degree, and is probably closer to one-half degree. The area of a one-degree circle is less than 0.025% (1/4,000) that of the quarter sky facing the garage wall.
A bright cloud in full sunlight is only about 10 times the surface brightness of the sky surrounding it.[3] Furthermore, during and after sunset, the sunlight in the landscape has traveled a very long path through the atmosphere, and has thus been very evenly scattered and diffused. According to the astronomer M. Minnaert, by about 10 minutes after sunset, the sky and landscape in the east is dull and of uniform hue. Even a half-hour before sunset, clouds in the east assume a dull red color.[4] To attribute the illumination in the photos to a bright cloud, or to a bright hole in the cloud cover, especially after sunset, would require a surface brightness of these remarkable clouds on the order of magnitude of thousands of times that of the surrounding sky, which is inconceivable. It is particularly implausible that such illumination could exist around the time of sunset.
Conclusion: Because of the small maximum angular size of the illumination body and its intense brilliance, there can be no doubt whatsoever that the shadows in the Trent photographs are cast directly by the sun.
Maccabee still maintains that the shadows on the garage were cast by a bright sunset cloud, even though the McMinnville weather station recorded perfectly clear skies at 7:00 PM on May 11, 1950 (the last observation of the day). His illustration of that argument is below. I have seen and photographed such clouds myself, I am not saying that they do not exist. However, look at the board Maccabee sets up to try to replicate the shadow of the eaves on the Trent garage. The board casts a decent shadow for a few inches below the point where it touches the wall, then as the board moves slightly farther from the wall, the shadow quickly fades to invisibility. At the point where the shadow disappears, at the top of the support pillar, the board is only 8 inches or so from its shadow. The end of the eaves on Trent's garage were approximately twenty inches from the wall (I measured this on a building of similar construction), yet the shadows are still sharp and distinct. This is because they were cast by the sun, small and very bright, not a large, diffuse cloud. If Maccabee can find a sunset cloud that can cast sharp shadows of such boards at twenty inches, then I might be prepared to accept his argument.
Maccabee's illustration of a bright cloud casting a shadow at sunset. But the shadow is too diffuse to allow it to be seen when the board casting it is some twenty inches from the wall.
Carpenter's truck mirror, and Trent #2
In 2004, researcher Joel Carpenter (1959-2014) created a website on the McMinnville photos, making a very good case that the object was directly beneath the overhead wires, and close to the camera. He suggests that the object was a mirror from an old truck. I have restored Joel Carpenter's original McMinnville photos website (fixing only the links), and placed it on the Internet Archive.
One of Carpenter's findings is that Trent's camera was surprisingly close to the ground when the photos were taken. For some bizarre reason, Trent did not stand up but instead crouched down to photograph his UFO. Carpenter explains,
Instead of moving toward the object and shooting the photos from eye level in the unobstructed front yard, he shot the two photos up, from a very low level, from the back yard. For reasons explained above, it seems likely that he actually used the viewfinder on the body of the camera while kneeling. The overall geometry of the positions and the attributes of the camera suggest that he was attempting to frame a nearby object in such a way as to maximize the amount of sky around it and enhance its apparent altitude.In other words, Trent walked away from where the UFO was supposed to be, and instead walked toward where the presumed model was hanging from the wires, and crouched down close to the ground to make his "UFO" appear distant.
Since the camera moved a significant distance between Photo 1 and Photo 2, can the two Trent photos possibly be viewed as a stereo pair, to reveal the object's distance? In 2010 an anonymous researcher calling himself Blue Shift did so on Above Top Secret. He writes,
This is another cross-eyed stereo pair. That means you need to back away from the monitor a little bit, cross your eyes, and try to line elements up in each picture until you get them together and in focus. Try it first with the oil tank. That has been shrunk to size and aligned to make it a little easier.
Unfortunately, the two photos were taken some distance apart and with the photo on the right a few steps forward. So it'll take a little practice for you to line up some of the other elements, like the bush by the driveway, the telephone post, and maybe even the far away ridge...
Now just for the hell of it, line up the saucer. It won't be exact, because they're at a different tilt in each photo, but do what you can. Got it?
Now "look up" at the overhead wires. Curiously enough, they line up at the same relative distance as the saucer! That's interesting, don't you think? And if you look around the image, as well as the other available images of the yard -- the ones with the ladder -- the wires are not far away at all, but are actually closer to the camera than the oil tank. So if the UFO saucer lines up at that point, then there's a pretty good chance that the UFO is actually pretty close to the camera, also.
Well, certainly the UFO could have moved and somehow by pure chance managed to get a stereo separation of exactly the same distance and at the same relative angle as the overhead wires. That would be amazingly coincidental, wouldn't it?
The Trent photos as a stereo pair, by "Blue Shift" on ATS. The "UFO" is seen to be small, and relatively close.
Another way of demonstrating the same thing: a montage by David Slater demonstrates that when the two Trent photos are overlaid so that the wires are lined up, the images of the “UFOs” line up as well. Both these demonstrations show that the “UFO” appears to be fixed with respect to the overhead wires.
The Trent photos overlaid, by David Slater. "UFO" and wires all line up!
In 2013 a group of French skeptics (IPACO) did an in-depth investigation of the McMinnville photos. They began with the usual description of the line of sight to the object in each photo, presumed suspension methods, etc. They concluded that the object is a small model.
More interesting is the second part of the report, completed two months after the first part: Evidence of a Suspension Thread (page 29). They do not claim to detect the suspension thread directly, but instead statistically:
The basic idea is that if there are traces of a thread in a picture’s pixels, above an object hanging from this thread, and if this trace is « buried in noise » within the sky’s background (noise due to atmospheric diffusion and/or to the digitizing process), it should be possible to increase the signal-to-noise ratio thus uncovering the thread, by summing pixels along columns parallel to the thread.They concluded, "For the TRNT1 picture, the presence of a negative peak (thread darker than the sky) was clearly observed which matched exactly to the supposed attachment point, with a significant difference of 2,38 sigma, for a tilt angle equal to -11°.... Application of the same method to the second picture TRNT2 provided comparable results, with a tilt angle of -10.29 ° and results of over 2.5 sigma."
Bruce Maccabee and Brad Sparks have written responses to the French report. Maccabee objects that "Regarding the photogrammetric analysis, I showed that the sighting lines did not cross under the wires and they did not refute this." This comment is a bit odd, because
A) nearly everybody else who has investigated the question has come to the opposite conclusion, including William K. Hartmann and Claude Poher. The IPACO report says "The relative position may obviously be considered as nearly constant, which can only be explained, from a geometric point of view, if the object was effectively hanging from the wire OR if its movement between both shots was following precisely its sighting line."
B) The IPACO report based their measurements largely on a map provided by Maccabee.
Sparks objects that
"These French debunkers have incomprehensibly asserted that the UFO and wires are "black bodies" to which they apply "radiometry" -- which is the science of measurement of heat. They claim to derive an estimate of distance from this. They apparently have no idea what they are talking about.... They have confused photometry (light measurements) with radiometry (heat measurements from black body heat radiation, thermal emissions)."
Technically, he is correct. However Sparks does not consider the possibility that the problem is simply the result of a bad translation from the original French. If you read the paper, it is obvious that they are using the word "radiometric" to mean the brightness of the pixels, and not any supposed heat emitted by the object. Their measuring technique is valid, even though the English description of it isn't. If the "French Debunkers" had substituted the proper word "densitometric" for "radiometric", and "dark bodies" (meaning, opaque and not self-luminous) for "black bodies" (which has a very specific meaning in physics), the objection vanishes.
Now, another researcher has weighed in. Jay J. Walter of Phoenix, Arizona, the author of the suspense horror novel Blood Tree, did his own investigation. Working from high-resolution scans of first-generation prints that I sent him (scans now posted on the Internet Archives for anyone to research), he did his own photo enhancement using the venerable program ArtGem. He said that even using a 4.2ghz quad core 64bit processor with 8 gigs of system RAM, he was still getting "out of memory" errors. However, he persevered, and produced the following photos, appearing to detect portions of a suspension thread above the object in both photos. The purported string cannot be seen across its entire length, which is consistent with the French skeptics only being able to detect it statistically. It is significant that Walter and the French team were working with different scans.
Jay J. Walter's possible detection of a suspension string in the first Trent photo, its position illustrated by the drawn-in string in the bottom photo.
Walter's suggestion of a string in the second Trent photo. I had to convert these photos from TIFF to JPG format in order to post them, which loses some details.
Walter's apparent string seen in its proper orientation
Another of Walter's purported discoveries is what he calls a "logo," an apparently flat area with two holes, where it appears a logo plate might be attached, or possibly even a handle. Is this real, or is it simply "pareidolia" - seeing a pattern where none exists? Confirmation is needed.
Did something once attach here to the object in Trent photo #2?
Walter suggests that the object in question is an appliance motor shroud, approximately eight inches in diameter. "I think Trent walked to the garage one evening, tied a string to an appliance motor shroud via an old bolt, tossed the shroud over a wire and tied the other end of the string to an anchor near the ground, then took the two pictures. Logical, practical, and so much less effort for him than other theories. People just do what they do and Trent wasn't going to go to too much effort just to fool his banker buddy."
But wait - there's more! In the words of UFO researcher Martin Shough on UFO Updates, "I am hearing rumours that certain researchers, one of whom is no stranger to this List, are on the brink of publishing an analysis which they believe is proof of a hoax. I have it on the authority of a third party - a 'usually reliable source' - that cunning digital enhancement has revealed the presence of a string or wire support."
I have been in contact with this Mystery Researcher, who has not authorized me or anyone else to reveal his findings. He was planning to write a book exposing three major UFO photo cases as hoaxes, one of course being Trent. However, he says this plan has been abandoned, and he is uncommunicative about the details of his work. I do not have proof of what he says about the string. However from the seriousness with which he has undertaken other investigations, I am inclined to believe that he has indeed found it.
Do these new findings finally debunk the Trent photos? They would, provided they can be independently confirmed by other researchers, using other high-resolution scans from first-generation prints, or else the original negatives. Until then, people will continue to argue about such matters as the gauge of the wires, and whether the model, if it were a model, would have to be five or six inches in diameter.
(updated October 5, 2014)
Quelle: Posted by Robert Sheaffer