Two MIT students just solved Richard Feynman’s famed physics puzzle

Richard Feynman once asked a silly question. Two MIT students just answered it.

Here’s a fun experiment to try. Go to your pantry and see if you have a box of spaghetti. If you do, take out a noodle. Grab both ends of it and bend it until it breaks in half. How many pieces did it break into? If you got two large pieces and at least one small piece you’re not alone.


Richard Feynman, world-class physicist, bongo player, and writer of letters, once spent an evening trying to break spaghetti into two pieces by bending it at both ends. After hours spent in the kitchen and a great deal of pasta having been wasted, he and his friend Danny Hillis admitted defeat. Even worse, they had no solution for why the spaghetti always broke into at least three pieces. 

But science loves a good challenge 

The mystery remained unsolved until 2005, when French scientists Basile Audoly and Sebastien Neukirch won an Ig Nobel Prize, an award given to scientists for real work which is of a less serious nature than the discoveries that win Nobel prizes, for finally determining why this happens. Their paper describing the effect is wonderfully funny to read, as it takes such a banal issue so seriously.

They demonstrated that when a rod is bent past a certain point, such as when spaghetti is snapped in half by bending it at the ends, a “snapback effect” is created. This causes energy to reverberate from the initial break to other parts of the rod, often leading to a second break elsewhere.

While this settled the issue of why spaghetti noodles break into three or more pieces, it didn’t establish if they always had to break this way. The question of if the snapback could be regulated remained unsettled.

Physicists, being themselves, immediately wanted to try and break pasta into two pieces using this info

Ronald Heisser and Vishal Patil, two graduate students currently at Cornell and MIT respectively, read about Feynman’s night of noodle snapping in class and were inspired to try and find what could be done to make sure the pasta always broke in two.

By placing the noodles in a special machine built for the task and recording the bending with a high-powered camera, the young scientists were able to observe in extreme detail exactly what each change in their snapping method did to the pasta. After breaking more than 500 noodles, they found the solution.

The apparatus the MIT researchers built specifically for the task of snapping hundreds of spaghetti sticks. (Courtesy of the researchers.)

The spaghetti will break into two pieces if the snapback is properly dispersed through the noodle by twisting it while it is bent. The twist must be rather severe though, nearly 360°. The two ends of the noodle must then be bought together very slowly.

The twisting adds another wave of energy to the snapback, one which tends to make the noodle straighten out again. When both waves are going through the noodle at the same time, the most intense pressure on the noddle is reduced and the second fracture is prevented.

The results hold true for spaghetti noodles of different diameters, though the scientists note that other pasta noodles might act differently. Having solved the problem of how to properly break spaghetti, they plan to focus on linguine next.

What possible application could this have? 

The snapback effect is not limited to uncooked pasta noodles and can be applied to rods of all sorts. The discovery of how to cleanly break them in two could be applied to future engineering projects.

Likewise, knowing how things fragment and fail is always handy to know when you’re trying to build things. Carbon Nanotubes, super strong cylinders often hailed as the building material of the future, are also rods which can be better understood thanks to this odd experiment. 

Sometimes big discoveries can be inspired by silly questions. If it hadn’t been for Richard Feynman bending noodles seventy years ago, we wouldn’t know what we know now about how energy is dispersed through rods and how to control their fracturing. While not all silly questions will lead to such a significant discovery, they can all help us learn.  

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Freud is renowned, but his ideas are ill-substantiated

The Oedipal complex, repressed memories, penis envy? Sigmund Freud's ideas are far-reaching, but few have withstood the onslaught of empirical evidence.

Mind & Brain
  • Sigmund Freud stands alongside Charles Darwin and Albert Einstein as one of history's best-known scientists.
  • Despite his claim of creating a new science, Freud's psychoanalysis is unfalsifiable and based on scant empirical evidence.
  • Studies continue to show that Freud's ideas are unfounded, and Freud has come under scrutiny for fabricating his most famous case studies.

Few thinkers are as celebrated as Sigmund Freud, a figure as well-known as Charles Darwin and Albert Einstein. Neurologist and the founder of psychoanalysis, Freud's ideas didn't simply shift the paradigms in academia and psychotherapy. They indelibly disseminated into our cultural consciousness. Ideas like transference, repression, the unconscious iceberg, and the superego are ubiquitous in today's popular discourse.

Despite this renown, Freud's ideas have proven to be ill-substantiated. Worse, it is now believed that Freud himself may have fabricated many of his results, opportunistically disregarding evidence with the conscious aim of promoting preferred beliefs.

"[Freud] really didn't test his ideas," Harold Takooshian, professor of psychology at Fordham University, told ATI. "He was just very persuasive. He said things no one said before, and said them in such a way that people actually moved from their homes to Vienna and study with him."

Unlike Darwin and Einstein, Freud's brand of psychology presents the impression of a scientific endeavor but ultimately lack two of vital scientific components: falsification and empirical evidence.

Psychoanalysis

Freud's therapeutic approach may be unfounded, but at least it was more humane than other therapies of the day. In 1903, this patient is being treated in "auto-conduction cage" as a part of his electrotherapy. (Photo: Wikimedia Commons)

The discipline of psychotherapy is arguably Freud's greatest contribution to psychology. In the post-World War II era, psychoanalysis spread through Western academia, influencing not only psychotherapy but even fields such as literary criticism in profound ways.

The aim of psychoanalysis is to treat mental disorders housed in the patient's psyche. Proponents believe that such conflicts arise between conscious thoughts and unconscious drives and manifest as dreams, blunders, anxiety, depression, or neurosis. To help, therapists attempt to unearth unconscious desires that have been blocked by the mind's defense mechanisms. By raising repressed emotions and memories to the conscious fore, the therapist can liberate and help the patient heal.

That's the idea at least, but the psychoanalytic technique stands on shaky empirical ground. Data leans heavily on a therapist's arbitrary interpretations, offering no safe guards against presuppositions and implicit biases. And the free association method offers not buttress to the idea of unconscious motivation.

Don't get us wrong. Patients have improved and even claimed to be cured thanks to psychoanalytic therapy. However, the lack of methodological rigor means the division between effective treatment and placebo effect is ill-defined.

Repressed memories

Sigmund Freud, circa 1921. (Photo: Wikimedia Commons)

Nor has Freud's concept of repressed memories held up. Many papers and articles have been written to dispel the confusion surrounding repressed (aka dissociated) memories. Their arguments center on two facts of the mind neurologists have become better acquainted with since Freud's day.

First, our memories are malleable, not perfect recordings of events stored on a biological hard drive. People forget things. Childhood memories fade or are revised to suit a preferred narrative. We recall blurry gists rather than clean, sharp images. Physical changes to the brain can result in loss of memory. These realities of our mental slipperiness can easily be misinterpreted under Freud's model as repression of trauma.

Second, people who face trauma and abuse often remember it. The release of stress hormones imprints the experience, strengthening neural connections and rendering it difficult to forget. It's one of the reasons victims continue to suffer long after. As the American Psychological Association points out, there is "little or no empirical support" for dissociated memory theory, and potential occurrences are a rarity, not the norm.

More worryingly, there is evidence that people are vulnerable to constructing false memories (aka pseudomemories). A 1996 study found it could use suggestion to make one-fifth of participants believe in a fictitious childhood memory in which they were lost in a mall. And a 2007 study found that a therapy-based recollection of childhood abuse "was less likely to be corroborated by other evidence than when the memories came without help."

This has led many to wonder if the expectations of psychoanalytic therapy may inadvertently become a self-fulfilling prophecy with some patients.

"The use of various dubious techniques by therapists and counselors aimed at recovering allegedly repressed memories of [trauma] can often produce detailed and horrific false memories," writes Chris French, a professor of psychology at Goldsmiths, University of London. "In fact, there is a consensus among scientists studying memory that traumatic events are more likely to be remembered than forgotten, often leading to post-traumatic stress disorder."

The Oedipal complex

The Blind Oedipus Commending His Children to the Gods by Benigne Gagneraux. (Photo: Wikimedia Commons)

During the phallic stage, children develop fierce erotic feelings for their opposite-sex parent. This desire, in turn, leads them to hate their same-sex parent. Boys wish to replace their father and possess their mother; girls become jealous of their mothers and desire their fathers. Since they can do neither, they repress those feelings for fear of reprisal. If unresolved, the complex can result in neurosis later in life.

That's the Oedipal complex in a nutshell. You'd think such a counterintuitive theory would require strong evidence to back it up, but that isn't the case.

Studies claiming to prove the Oedipal complex look to positive sexual imprinting — that is, the phenomenon in which people choose partners with physical characteristics matching their same-sex parent. For example, a man's wife and mother have the same eye color, or woman's husband and father sport a similar nose.

But such studies don't often show strong correlation. One study reporting "a correction of 92.8 percent between the relative jaw width of a man's mother and that of [his] mates" had to be retracted for factual errors and incorrect analysis. Studies showing causation seem absent from the literature, and as we'll see, the veracity of Freud's own case studies supporting the complex is openly questioned today.

Better supported, yet still hypothetical, is the Westermarck effect. Also called reverse sexual imprinting, the effect predicts that people develop a sexual aversion to those they grow up in close proximity with, as a mean to avoid inbreeding. The effect isn't just shown in parents and siblings; even step-siblings will grow sexual averse to each other if they grow up from early childhood.

An analysis published in Behavioral Ecology and Sociobiology evaluated the literature on human mate choice. The analysis found little evidence for positive imprinting, citing study design flaws and an unwillingness of researchers to seek alternative explanations. In contrast, it found better support for negative sexual imprinting, though it did note the need for further research.

The Freudian slip

Mark notices Deborah enter the office whistling an upbeat tune. He turns to his coworker to say, "Deborah's pretty cheery this morning," but accidentally blunders, "Deborah's pretty cherry this morning." Simple slip up? Not according to Freud, who would label this a parapraxis. Today, it's colloquially known as a "Freudian slip."

"Almost invariably I discover a disturbing influence from something outside of the intended speech," Freud wrote in The Psychopathology of Everyday Life. "The disturbing element is a single unconscious thought, which comes to light through the special blunder."

In the Freudian view, Mark's mistaken word choice resulted from his unconscious desire for Deborah, as evident by the sexually-charged meanings of the word "cherry." But Rob Hartsuiker, a psycholinguist from Ghent University, says that such inferences miss the mark by ignoring how our brains process language.

According to Hartsuiker, our brains organize words by similarity and meaning. First, we must select the word in that network and then process the word's sounds. In this interplay, all sorts of conditions can prevent us from grasping the proper phonemes: inattention, sleepiness, recent activation, and even age. In a study co-authored by Hartsuiker, brain scans showed our minds can recognize and correct for taboo utterances internally.

"This is very typical, and it's also something Freud rather ignored," Hartsuiker told BBC. He added that evidence for true Freudian slips is scant.

Freud's case studies

Sergej Pankejeff, known as the "Wolf Man" in Freud's case study, claimed that Freud's analysis of his condition was "propaganda."

It's worth noting that there is much debate as to the extent that Freud falsified his own case studies. One famous example is the case of the "Wolf Man," real name Sergej Pankejeff. During their sessions, Pankejeff told Freud about a dream in which he was lying in bed and saw white wolves through an open window. Freud interpreted the dream as the manifestation of a repressed trauma. Specifically, he claimed that Pankejeff must have witnessed his parents in coitus.

For Freud this was case closed. He claimed Pankejeff successfully cured and his case as evidence for psychoanalysis's merit. Pankejeff disagreed. He found Freud's interpretation implausible and said that Freud's handling of his story was "propaganda." He remained in therapy on and off for over 60 years.

Many of Freud's other case studies, such "Dora" and "the Rat Man" cases, have come under similar scrutiny.

Sigmund Freud and his legacy

Freud's ideas may not live up to scientific inquiry, but their long shelf-life in film, literature, and criticism has created some fun readings of popular stories. Sometimes a face is just a face, but that face is a murderous phallic symbol. (Photo: Flickr)

Of course, there are many ideas we've left out. Homosexuality originating from arrested sexual development in anal phase? No way. Freudian psychosexual development theory? Unfalsifiable. Women's penis envy? Unfounded and insulting. Men's castration anxiety? Not in the way Freud meant it.

If Freud's legacy is so ill-informed, so unfounded, how did he and his cigars cast such a long shadow over the 20th century? Because there was nothing better to offer at the time.

When Freud came onto the scene, neurology was engaged in a giddy free-for-all. As New Yorker writer Louis Menand points out, the era's treatments included hypnosis, cocaine, hydrotherapy, female castration, and institutionalization. By contemporary standards, it was a horror show (as evident by these "treatments" featuring so prominently in our horror movies).

Psychoanalysis offered a comparably clement and humane alternative. "Freud's theories were like a flashlight in a candle factory," anthropologist Tanya Luhrmann told Menand.

But Freud and his advocates triumph his techniques as a science, and this is wrong. The empirical evidence for his ideas is limited and arbitrary, and his conclusions are unfalsifiable. The theory that explains every possible outcome explains none of them.

With that said, one might consider Freud's ideas to be a proto-science. As astrology heralded astronomy, and alchemy preceded chemistry, so to did Freud's psychoanalysis popularize psychology, paving the way for its more rapid development as a scientific discipline. But like astrology and alchemy, we should recognize Freud's ideas as the historic artifacts they are.

Photo by Alina Grubnyak on Unsplash
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