Showing posts with label Gerardo Amador. Show all posts
Showing posts with label Gerardo Amador. Show all posts

Sunday, November 1, 2020

How Most People Got Schrödinger’s Cat Thought Experiment Wrong

Quantum mechanics is every Hollywood writers favorite handwavy tool to accomplish whatever they feel like in a given moment regardless of whether what they say or have happen has anything remotely to do with the reality of this branch of science and, well, reality. Beyond the masses, it is so NOT understood that even the likes of Richard Feynman, one of the greatest theoretical physicists said (probably joking) that nobody understood the topic. And yet, many will use examples to explain it, and probably there’s no example that is used more often than Schrödinger’s cat… but don’t do it yourself, because chances are that you are missing the point Schrödinger intended.

For the uninitiated, in an ironically oversimplified nutshell, quantum mechanics is the study of everything at a very small scale- this includes the study of elementary particles such as the ones that constitute an atom. The realm of quantum mechanics is largely probabilistic, given that things that seem so simple in classical physics such as knowing the position and momentum at the same time of macroscopic objects is impossible at the scales of an atom or smaller. Quantum mechanics therefore deals with superposition states, where a particle could be in more than one state at a time before it is forced to collapse when observed.

As you can imagine, this is not an easy pill to swallow and at the infancy of this branch of physics everyone was struggling to get some water fast. A lot of proposed different solutions have been published explaining the lack of deterministic nature from these very small particles, yet no one has been able to offer one that is universally accepted. Many physicists are actually content with just dealing with the probabilistic mess since it has worked so far. Albert Einstein was not among them. So he, along with Boris Podolsky and Nathan Rosen published a paper in 1935 called “Can Quantum-Mechanical Description Of Physical Reality Be Considered Complete?” where they claimed that quantum physics was not complete due to the paradoxes it could create without any further context. As an example, they mentioned in the paper the issue regarding quantum entanglement; the phenomenon of how a particle’s state could influence another one even if they were separated, regardless of distance, yet this influence would be instantaneous. According to Einstein, this would mean that information would be traveling at infinite speed, therefore breaking one of the most fundamental constants of physics; the speed of light. In 1964, John Stewart Bell proposed a solution for the paradox and later experiments supported these conclusions, but at the time of Einstein’s article, another physicist was not impressed either with the implications that quantum indeterminacy brought to the table, and that someone was Erwin Schrödinger.

Born in Austria in 1887, Erwin Schrödinger was not only a successful physicist, but also contributed to quantum mechanics significantly and one of these contributions was the

Schrödinger equation, which is used to describe the wave function of a system, a tool that would eventually earn him a Nobel Prize in physics that he shared with Paul Adrien Maurice Dirac. Given that his career has been so extensively dedicated to quantum mechanics, you might wonder; how could he be skeptical of quantum mechanics’ description of nature?

To answer this, it is necessary to dive into the conversations Schrödinger and Einstein had through the years. Given their shared skepticism of quantum indeterminacy, they would exchange letters about the topic and in one of these letters he proposed an example that is fairly known by everyone at this point:

Imagine a cat inside a steel box, inside with the cat there is a device; A geiger counter (a device to measure radiation) is monitoring a small amount of a radioactive substance with a probability of 50% that one of the atoms would decay in the next hour (of course with a 50% chance that no atom will). If one of the atoms decay, it will be detected by the Geiger counter, which will tell the device to release hydrogen cyanide.

Given the vague nature of quantum mechanics, until measured or observed, the system has not been forced to collapse into one of two states (the atom decaying or not decaying), therefore the cat is equally just as dead and alive at the same time as the atom is decayed or not decayed, since the cat’s health is dependant of the mentioned atom. The trigger that will force the atom and subsequently the cat into one of the two possible states is a physicist (hopefully not the owner of the cat) that will open the door of the box and look by himself after an hour the experiment has started.

You see, the problem the physicist had with quantum mechanics was that no one knew where its probabilistic effects ended. Why would the life or death of the cat be dependent on our observation? Why would the system care if we observe it or not? Isn’t the cat observing the poison? Who is observing the physicist observing the inside the box? How large could these probabilistic effects be? If it has a limit in its scale, how large is it? How could a system be independent and superpositioned before our observation but then its state be defined only once we observe it? This is a mess to explain because in relative macroscopic terms, everyday objects are not in multiple states until an observer interacts with it. It is therefore illogical that before opening the box, the cat is dead and alive at the same time, and only until you open the box the cat is retroactively dead, if that’s the result observed. This was meant as a direct critique of the Copenhagen interpretation.

Einstein couldn’t agree more with the implications this scenario created. When amplifying its effects, the situation regarding what is deterministic and what is probabilistic becomes very hard to define. Stating this in a letter sent to Schrödinger in 1950:

This interpretation (that quantum mechanics is a complete description of reality) is, however, refuted, most elegantly by your system of radioactive atom + Geiger counter + amplifier + charge of gun powder + cat in a box, in which a psi-function of the system contains the cat both alive and blown to bits. Is the state of the cat to be created only when a physicist investigates the situation at some definite time? Nobody really doubts that the presence of absence of the cat is something independent of the act of observation. But then the description by means of the psi-function is certainly incomplete…

It must be said that was Einstein who substituted the cyanide for gunpowder as a means of hypothetical animal cruelty.

Naturally, the thought experiment has been either misquoted and even sometimes twisted to prove something unrelated to physics entirely. The easiest misconception to make about the thought experiment is that Schrödinger was serious about this experiment, and that “it could be done”. You might have guessed at this point that he didn’t take the concept seriously, rather he mocked the possibilities that quantum indeterminacy implied.

Another misconception is the favorite from philosophers and people who want to give a mystic nature to this thought experiment. For them “observer” is defined as an actual “eyewitness”, so to speak; a conscious entity or a person. This normally branches into linking consciousness and quantum mechanics in a very holistic way to give mystic-like philosophies some kind of credibility. One famous theory is the Von Neumann-Wigner Interpretation that claims that consciousness is necessary to collapse the wave function. It must be pointed out however that Schrödinger probably meant that either an observer could be or not a conscious observer. It could be something that simply measures or interacts with the system. So its philosophical reach probably was not meant to necessarily speak about conscious beings or even point out that a conscious observer was not necessary. Physicists tend to lower the role of a conscious actor in the model, since for them, the universe does not care for your interpretation.

A very simplified interpretation was that Schrödinger was mocking or dismissing quantum mechanics entirely. But knowing that he established very well known formulas and that everyone knew that quantum mechanics works, this is not the case at all. He just simply argued that instead of interpreting quantum mechanics as a complete theory that relies on probability, that we might just not know how the real gears behind it works.

As science author Philip Ball, pointed out, Erwin Schriodinger did not mean to say that quantum physics are not applicable to everyday macroscopic objects. We already know about this, but rather use the example as an absurd, exaggerated way to show that pushing the limits of what could be considered as “quantum objects” could bring paradoxes that might not be easily solvable.

Of course, that hasn’t stopped people from trying. For example, we have the relational interpretation which states that anything can be an observer, each with their own version equally valid: If the cat has been poisoned, it observed the system collapsing, but since the physicist has not looked inside the box, the system is in superposition for him, until he obtains more information about it by opening the box.

There is also the Many-Worlds interpretation by Hugh Everett, where it says that any measurement that forces a system to collapse into one of two superpositioned states, will split reality in two; both equally real, and yet, none can interact with each other. This means that the collapse never happened: if you open the box and the cat is still alive, it was always meant to be alive… in your reality, but now there’s another universe where you are being arrested with charges of animal cruelty.

As for Neils Bohr, the main antagonist of Albert Einstein regarding this topic, the riddle wasn’t a riddle at all. He didn’t think the observer directly triggered the collapse, it simply measured it. For him, the first observer was the Geiger counter. One could say that for Bohr, anything outside the box was not necessary to obtain a result.

Many more solutions to the paradox have been proposed, at the same time showing only how hard it is to solve. None of these have offered a satisfactory conclusion for everyone. This is probably why Erwin Schrödinger wasn’t much of a fan of speaking about probability in quantum mechanics, stating:

I am no friend of probability theory, I have hated it from the first moment when our dear friend Max Born gave it birth. For it could be seen how easy and simple it made everything, in principle, everything ironed and the true problems concealed.

If you liked this article, you might also enjoy our new popular podcast, The BrainFood Show (iTunes, Spotify, Google Play Music, Feed), as well as:

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The post How Most People Got Schrödinger’s Cat Thought Experiment Wrong appeared first on Today I Found Out.



from Today I Found Out
by Gerardo Amador - October 31, 2020 at 01:05PM
Article provided by the producers of one of our Favorite YouTube Channels!
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Wednesday, July 29, 2020

The Widespread Nuclear Disaster Everyone Promptly Forgot About

If you’ve ever heard of Ciudad Juárez, Chihuahua, Mexico at all, it’s probably because for a time the densely populated town next to El Paso, Texas was known as “the most dangerous city in the world”. But it turns out that at one point a bizarre sequence of events led to a rather odd nuclear disaster occurring there. Now, you might at this point be wondering how such a thing could happen given the area does not have a nuclear power plant and Mexico is not a country that has nuclear weapons either. So how did they have a widespread nuclear disaster?

On December 6, 1983, one Vicente Sotelo Alardin and Ricardo Hernandez, two maintenance workers from the hospital Specialties Medical Center (Centro Medico de Especialidades), were told to take equipment from a warehouse to be sold as scrap. While gathering said equipment, Vicente and Ricardo saw a Picker 3000- a radiotherapy machine used for cancer treatment. Probably ignoring what it was or how dangerous what was inside it could be, they decided to disassemble it out of curiosity using Jeremy Clarkson’s favorite tool: A hammer. Inside the engine head they found approximately 6000 small pellets of cobalt-60.

For the uninitiated, Cobalt-60 is a radioactive isotope that is created when cobalt-59 is bombarded with a neutron source. When it decays it emits beta particles, which are high energy neutrons or positrons and gamma rays which are considered the emissions with the highest energy levels in the electromagnetic spectrum. As you might imagine, this is not good for your health since it could give you radiation poisoning and an acute case of “dead”- the prognosis after being diagnosed with death is, naturally, not good.

So at this point, you can probably start to see the issue for the two maintenance workers. But how did the problem become widespread?

Vicente and Ricardo took everything they could carry to a local Junkyard called Yonke Fenix using Vicente’s Datsun pick-up truck. Along the way pellets fell out of the vehicle. It should be noted that these pellets were VERY dangerous and with a half-life of 5.27 years, meaning that to reduce the emissions by half you have to wait a whole 5 years. They sold everything they had collected for $8.50 USD (about $26 today) and went back home. On the way, the pick-up truck broke down and it was parked next to the Rio Grande river for two days. According to Vicente, after fixing the truck, he drove it and parked it in front of his house. As if all this bad luck wasn’t enough, he

found out that someone stole the battery from the vehicle just outside his own home. Seeing it couldn’t be moved, he decided to leave it there and replace the battery later… The result was that he left it there for several weeks. According to the report from the Mexican agency, the National Nuclear Safety and Safeguards Commission (CNSNS), the pick up was found only after January 26, 1984, meaning the highly radioactive pick-up truck was parked for 7 weeks in a densely populated area.

OK, that’s still not super widespread though. So how did it get worse?

Well, matters didn’t improve when the junkyard (not knowing they received highly dangerous material) started to move it around using an electromagnetic crane and other equipment, polluting them and spreading the radiation like a massive invisible infection.

More significantly, the junkyard had a deal with smelter factories to take some scrap metal and use it for rebar in construction projects and table legs. The net result was some 6,000-20,000 tons of contaminated metal being made to be used in buildings and other such projects all over- all without anyone being the wiser at this point.

So, if neither Vicente, Ricardo, the junkyard workers or the smelter factories knew the material was radioactive. How did we find out about this? Well, the era before smartphones and widespread use of GPS might have saved lives. By January 16, 1984, one of the trucks that carried some of the radioactive steel through the United States got lost in New Mexico. While trying to find the right route, the truck passed quite near to Los Alamos National Security Lab. Yes, THAT lab. (Where the Manhattan Project was developed)

The lab had sensors that detected radiation just outside the facilities, because, you know… they don’t want their radioactive materials to leave the premises without authorization for obvious reasons. When the radiation was sensed, it triggered cameras that took pictures of the vehicle. Using these photographs the agency tracked the vehicle and tried to contact the driver, finally catching up to him at a motel. When the driver left his room, he was surrounded by a small army of people wearing protective suits to handle the situation.

When the agency measured the radiation of the vehicle, it emitted and astounding 1,000 rems. To give you an idea of how high this is: You will get serious radiation poisoning symptoms and possibly death at around 300 rems. The truck emitted more than three times this while traveling about on United States soil. After they found out the truck came from Mexico, the American authorities contacted the appropriate Mexican agency to figure out what was going on. Then then expended considerable effort to ultimately track down all the contaminated material, and attempt to contain the rather far flung problem as fast as possible.

While the United States authorities estimates they gathered 90% of the radioactive steel that entered their country and returned it back to Mexico, Mexican authorities had worse results in dealing with the same problems and shady practices played a huge part of it: When the authorities located the pick-up truck, they isolated it by temporarily dropping it in one of the most popular public parks in Ciudad Juarez, securing it with just a fence. Meanwhile, in an attempt to find each and every dropped pellet in the city, they had all the roads cleaned by steelworkers sweeping the streets and sifting through dirt with shovels and plastic bags while CNSNS personnel hid behind barrels filled with water. For anyone out there working with cobalt-60: This is not how you safely secure such radioactive material. On top of that, they had to track down every contaminated batch of steel that was transported around the country, which is a daunting, almost impossible task.

In an attempt to help, the United States Department of Energy provided a helicopter equipped with sensors to check for “hot spots” and look for these pellets and steel, but it might not have been enough. It is believed that thousands of tons of radioactive steel rebar was transported to multiple Mexican states to be used in housing and buildings. There is still a local legend that one of the largest mall centers of the city is built with “hot steel” and hidden from public record by corruption and bribery. Although this has not been corroborated, the dates of construction conveniently align for this to be possible.

All the hazardous material found near Ciudad Juarez was ultimately stored in a nuclear graveyard located at the Samalayuca desert near the city, about 24 kilometers or 15 miles away from the downtown area . According to the National Autonomous University of Mexico (UNAM), this facility is improperly built and it represents a risk of pollution to the underground water deposits.

Originally these deposits were built open to the environment, but as of today satellite images show these graveyards sealed, appearing to be covered only with sand. Not a great method in a region known for occasional strong winds and sandstorms. “Radioactive wind” being rather less than ideal.

Meanwhile Vicente was used as a scapegoat by the administration of the hospital, allegedly being threatened to pressure him into signing a confession saying he stole the equipment. Vicente later claimed, “The truth is that we were never told that the machine had contamination, […] not one sign with a skull or something like that”.

This was confirmed and documented in the CNSNS report adding that the warehouse didn’t comply with the minimal requirements for the storage of this machine. The hospital denied wrongdoing, with one of its doctors going so far as to claim: “I don’t think we should accept (liability). We are not guilty for the acts from a disloyal employee”.

Of course, the hospital had previously purchased the machine without a license from an imaging company in Fort Worth, Texas for around $16,000 USD. As if this doesn’t sound negligent enough, the hospital was unable to hire a specialist for the machine to be used, so it just sat in the
warehouse collecting dust rather than ever being used.

So, at this point you might be wondering “what were the health consequences for the population?” Well, as you might expect given it was difficult enough just to track down the contaminated materials and how massively widespread the issue ended up being, this is hard to say.

Looking at the definitely contaminated individuals, medical studies reported cases of chromosome damage and abnormal sperm or diminished count among the junkyard workers and other neighboring citizens. These signs have the potential to progress into other health issues, such as cancer or congenital defects for their offspring. More worrying is that there is no way to measure the actual damage to those exposed on the long run due to stray pellets or houses made with contaminated steel, etc.

As to what happened to Vicente, the owner of the pick-up truck, shockingly, despite pretty extreme exposure and initial radiation poisoning symptoms including burns, vomit and diarrhea, he was fine in the long term. He even earned the nickname: “Vicente the Bionic Man”, due to his apparent good health after his exposure… what is the relationship between “surviving radiation exposure” and “bionics”? Who knows, but hey; it is an awesome nickname.

If you liked this article, you might also enjoy our new popular podcast, The BrainFood Show (iTunes, Spotify, Google Play Music, Feed), as well as:

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The post The Widespread Nuclear Disaster Everyone Promptly Forgot About appeared first on Today I Found Out.



from Today I Found Out
by Gerardo Amador - July 29, 2020 at 10:02PM
Article provided by the producers of one of our Favorite YouTube Channels!
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