Only Pakistani To Win Nobel Prize For Physics

Doctor Abdus Salam is the first and only Pakistani, so far, to receive a Nobel Prize in physics. He is also well known for the development of science and technology in his country.

For example: Salam was an advisor to the Ministry of Science in Pakistan from 1960 to 1974. He was the founding director of the Space and Upper Atmosphere Research Commission (SUPARCO).

Salam also played a key role in Pakistan's development of nuclear energy and contributed to the development of their atomic bomb project in 1972. Thus, he was often called the Scientific Father of Pakistan.

However, in 1974, Salam departed from his country, in protest, after the Parliament of Pakistan passed a bill declaring the members of Ahmadiya Muslim community, to which he belonged, non-Muslims.

In 1979, he won the Nobel Prize for physics alongside Sheldon Lee Glashow and Steven Weinberg, for the electroweak unification theory. Thus, after this extraordinary accomplishment, he once again became his nation's hero.

Salam continued to stay in England until his death in 1996. But, his dying wish was to be buried in his beloved nation. It was fulfilled and approximately 30,000 people attended his funeral prayers in Pakistan.

Work

In 1951, he obtained a PhD degree from the Cavendish Laboratory at Cambridge. His doctoral thesis earned him not only popularity and reputation but also an Adams Prize.

Salam then worked on the unification of electromagnetic and weak forces (from 1959 onwards) with Glashow and Weinberg.

In 1966, he proposed a hypothetical particle, when he showed the possible interaction between magnetic monopole and C-violation. He thus formulated the "magnetic photon".

In 1972, he collaborated with Indian-American physicist Jogesh Pati. They developed a theory of everything (GUT) known as the  Pati–Salam model.

Who are smartest physicists according to Lev Landau?

Lev Landau was a Nobel Prize winning theoretical physicist who is known for his work in quantum mechanics and superfluidity. He was born on 22 January, 1908 to highly educated Jewish parents in Azerbaijan. His father was an engineer while his mother was a doctor.

It is no surprise then that Landau was a child prodigy. He learned to differentiate as well as integrate by the time he was 13 years old. His parents thought he was too young to attend university so he had to wait for another two years.

At age 16, he was allowed to join the Leningrad State University, from where he graduated with flying colors, in 1927. After this, he travelled the entirety of Europe, met and worked alongside renowned physicists of the time such as Bohr, Dirac and Pauli.

Having known and worked with them for some time, Landau devised a genius logarithmic scale. It is a 0-5 ranking of physicists based on the amount of contributions made. He could maintain this ranking system only until his death in 1968 but it still has some of the most notable names.

Since the scale is logarithmic, rank 1 physicist contributions are ten times more (as per Landau) than people ranked 2, and so on. In other words, the higher the rank, the less valuable the physicist is.

Rank 0 Isaac Newton

Rank 0.5 Albert Einstein

Rank 1

This has a list of physicists including Niels Bohr, Satyendra Nath Bose, Paul Dirac, Erwin Schrodinger, Wolfgang Pauli and Werner Heisenberg.

Rank 2.5 Lev Landau

This ranking system was so intriguing that other physicists continued it even after Landau's death. In 1965, Lev Landau was awarded the Nobel Prize. As a result, his ranking was improved to 2. After his death in 1968, he was granted an even higher ranking of 1.5.

In 2004, Russian physicist Vitaly Ginzburg ranked Richard Feynman in the 1 category. Physicist Hans Bethe was inducted alongside Landau in the 1.5 category.

Rank 3 Edward Witten

Rank 4.5 David Mermin

Rank 5 Mundane physicists

10 Discoveries By Newton That Changed The World

Isaac Newton is one of the few names that will forever be enshrined in physics history and that too with a lot of glamour associated. Contributions of none other physicist match his, well, probably Einstein's, or not even his!? The following are Newton's ten most well-known works that changed the world later on.

Laws of motion

1. An object will remain at rest or move in a straight line unless acted upon by an external force.

2. F=ma.

3. For every action, there is an equal and opposite reaction.

Newton's three laws of motion, along with thermodynamics, stimulated the industrial revolution of the 18th and 19th centuries. Much of the society built today owes to these laws.

Binomial Theorem

Around 1665, Isaac Newton discovered the Binomial Theorem, a method to expand the powers of sum of two terms. He generalized the same in 1676. The binomial theorem is used in probability theory and in the computing sciences.

Inverse square law

By using Kepler's laws of planetary motion, Newton derived the inverse square law of gravity. This means that the force of gravity between two objects is inversely proportional to the square of the distance between their centers. This law is used to launch satellites into space.

Newton's cannon

Newton was a strong supporter of Copernican Heliocentrism. This was a thought experiment by Newton to illustrate orbit or revolution of moon around earth (and hence, earth around the Sun).

He imagined a very tall mountain at the top of Earth on which a cannon is loaded. If too much gunpowder is used, then the cannonball will fly into space. If too little is used, then the ball wouldn't travel far. Just the right amount of powder will make the ball orbit the Earth.

Calculus

Newton invented the differential calculus when he was trying to figure out the problem of accelerating body. Whereas Leibniz is best-known for the creation of integral calculus. The calculus is at the foundation of higher level mathematics. Calculus is used in physics and engineering, such as to improve the architecture of buildings and bridges.

Rainbow

Newton was the first to understand the formation of rainbow. He also figured out that white light was a combination of 7 colors. This he demonstrated by using a disc, which is painted in the colors, fixed on an axis. When rotated, the colors mix, leading to a whitish hue.

Newton's disc

Reflecting Telescope

In 1666, Newton imagined a telescope with mirrors which he finished making two years later in 1668. It has many advantages over refracting telescope such as clearer image, cheap cost, etc.

Law of cooling

His law states that the rate of heat loss in a body is proportional to the difference in the temperatures between the body and its surroundings. The more the difference, the sooner the cup of tea will cool down.

Classification of cubics

Newton found 72 of the 78 "species" of cubic curves and categorized them into four types. In 1717, Scottish mathematician James Stirling proved that every cubic was one of these four types.

some cubic curves (Wiki)

Alchemy

At that time, alchemy was the equivalent of chemistry. Newton was very interested in this field apart from his works in physics. He conducted many experiments in chemistry and made notes on creating a philosopher's stone.

Newton could not succeed in this attempt but he did manage to invent many types of alloys including a purple copper alloy and a fusible alloy (Bi, Pb, Sn). The alloy has medical applications (radiotherapy).

7 Facts About Johannes Kepler You Didn't Know

Johannes Kepler was a German astronomer who discovered the three laws of planetary motion. Apart from his contributions to astronomy, he is also known to have pioneered the field of optics. In this post, let's read some amazing facts about Kepler and his work.

Early Affliction

He suffered from small pox at a very early age. The disease left him with a weak eyesight. Isn't it wonderful then how he went on to invent eyeglasses for near-eye and far-eye sightedness?

Introduction to Astronomy

Kepler's childhood was worsened by his family's financial troubles. At the age of 6, Johannes had to drop out of school so to earn money for the family. He worked as a waiter in an inn.

In the same year, his mother took him out at night to show him the Great Comet of 1577 which aroused his life-long interest in science and astronomy.

Copernican Supporter

At a time when everyone was against the heliocentric model of the universe, Kepler became its outspoken supporter. He was the first person to defend the Copernican theory from both a scientific and a religious perspective.

Contemporary of Galileo

Galileo was not a great supporter of Kepler's work especially when Kepler had proposed that the Moon had an influence over the water (tides). It would take an understanding by Newton many decades later which would prove Kepler correct and Galileo wrong.

Pioneer of Optics

Kepler made ground-breaking contributions to optics including the formulation of inverse-square law governing the intensity of light; inventing an improved refracting telescope; and correctly explaining the functioning of the human eye.

Helped Newton

His planetary laws went on to help Sir Isaac Newton derive the inverse square law of gravity. Newton had famously acknowledged Kepler's role, in a quote: "If I have seen further, it is by standing on the shoulders of giant(s)."

Kepler's Legacy

There is a mountain range in New Zealand named after the famous astronomer. A crater on the Moon is called Kepler's crater. NASA paid tribute to the scientist by naming their exo-planet finding telescope, Kepler.

How Max Born Won Nobel Prize After Getting Suspended

In 1933, when the Nazi Party came to power in Germany, physicist Max Born, who was Jewish, was suspended from professorship at the University of Göttingen. It was a poor decision since under him Göttingen had become one of the world's most promising centres for physics.

Born had spent over 12 years at the University. Here, he developed the matrix mechanics with his assistant Werner Heisenberg. Furthermore, this was the place where he formulated an interpretation of the probability density function, which won him the Nobel Prize, almost 20 years later, in 1954.

Out of job, he accepted an offer from physicist C. V. Raman to go to Bangalore in 1935 where he taught at the Indian Institute of Science. Then, in 1936, he migrated to the University of Edinburgh where he was offered a permanent chair.

Born became a naturalized British citizen in 1939, one year before the second world war broke out in Europe. During this time, he helped as many of his remaining friends and relatives still in Germany get out of the country thus saving them from persecution.

Despite all the bad memories, Gottingen always remained especially close to his heart because it was there that he came under the guidance of the three most renowned mathematicians of the time: Felix Klein, David Hilbert and Hermann Minkowski.

Although Klein didn't approve of Born's particular interest in natural philosophy (physics) he was still impressed by his mathematical prowess. Hilbert especially identified Born's talent and soon hired him as an assistant. Born would often meet Minkowski at Hilbert's house where they would discuss the theory of relativity.

Here, at Gottingen, in 1922, Arnold Sommerfeld sent his student Werner Heisenberg to be Born's assistant. Three years later, they had formulated the matrix interpretation of quantum mechanics. It won Heisenberg his Nobel Prize in physics (1932).

A year later, Heisenberg wrote a letter to Born in which he said how he had delayed in writing to him due to a "bad conscience" that he alone had received the Prize for work done in collaboration. Born, however, did not mind at all as his contribution to quantum mechanics could not be changed by a "wrong decision" from the outside.

But Born would ultimately win the most coveted prize in 1954 after a fruitful career of 50 years. He was 72 years old at the time of winning. He died in 1970 and is buried in the same cemetery as David Hilbert. Born's life thus came full circle. In 2017, Google honored Born with a doodle on their home page.

Nominated 84 Times For Nobel Prize But Never Won

If there was anybody close to Einstein's genius, it was his compatriot Arnold Sommerfeld. And despite being 10 years Einstein's senior, Sommerfeld was more supportive of the new quantum theory and made many pioneering contributions to it.

Also, did you know that Sommerfeld served in the military for 9 years before becoming a full-time physics professor? Like that, following are 10 amazing facts from Arnold Sommerfeld's life as a tribute to the most under-appreciated physics brain of the 20th century.

1. Since childhood, Arnold Sommerfeld was a quick learner. He received his PhD in physics when he was only 22 years old.

2. He was among the first to acknowledge the validity of Einstein's relativity. His support helped it propel into more of an "accepted status" in the scientific community.

3. Sommerfeld received 84 nominations across 25 years for Nobel Prize in physics (more than any other physicist) but surprisingly, he never won.

4. Yet, he won many times through those he educated and inspired, including (but not limited to) Heisenberg, Pauli, Debye and Bethe.

5. He was the one who introduced the second and the third quantum numbers. They're important because of their use in determining the electron configuration inside an atom.

6. Einstein once told Sommerfeld: "What I especially admire about you is that you have pounded out of the soil such a large number of young talents."

7. Sommerfeld encouraged collaboration from his students. He would home tutor them or meet at a local café to discuss their doubts after a lecture. His successful teaching career was 32 years long.

8. Sommerfeld was also a traveler who traveled around the world in two years (1928-1929) with major stops in India, China, Japan and the US.

9. He wrote to Einstein shortly after Hitler took to power: "I can assure you that the misuse of the word ‘national’ by our rulers has thoroughly broken me of the habit of national feelings that was so pronounced in my case."

10. Sommerfeld died in 1951 in Munich after getting hit by a truck while he was walking with his grandchildren. He was 82 years old. In 2004, department of theoretical physics at the University of Munich was named after Sommerfeld.

Heisenberg and his views on quantum mechanics

Werner Heisenberg was a German theoretical physicist who was awarded the Nobel Prize in 1932 for the creation of quantum mechanics. He was only 25 years old when he discovered the uncertainty principle. Although at the time Heisenberg did not understand his own work, so he handed it to his immediate supervisor, Max Born, and went on vacation.

Absurdity of nature

Heisenberg was one of the very first people to recognize the ridiculousness of quantum mechanics. It was mind-boggling because it did not agree with the existing physics. His discussions with Niels Bohr went through many hours till very late at night and ended almost in despair.

At the end of their talks, Heisenberg used to go for a walk in the neighboring park and repeated to himself again and again the question: Can nature possibly be so absurd as it seemed in the atomic experiments?

Heisenberg quipped: "The smallest units of matter are not physical objects in the ordinary sense; they are forms, ideas which can be expressed unambiguously only in mathematical language."

He derived inspiration from Greek and Eastern philosophies to arrive at some understanding of his work. "All things are numbers", a sentence attributed to Pythagoras especially attracted his attention. A conversation with Tagore about Indian philosophy also made some sense out of the ideas that seemed to him crazy.

Uncertainty principle

In Feb, 1927, Heisenberg wrote in a paper: The words "position" and "velocity" of an electron seemed perfectly well defined before and in fact they were clearly understood concepts within the mathematical framework of Newtonian mechanics.

But actually they were not well defined, as seen from the relations of uncertainty. The more precise the measurement of position, the more imprecise the measurement of momentum, and vice versa. In other words, there was complementarity between the two.

It's worth pointing out that the uncertainty is not a measurement problem but arises due to the wave nature of all quantum objects. Thus, it actually is a "fundamental property" of quantum objects and not a statement about the observational success of current technology.

The main problem was this: A physicist may be satisfied when there is a mathematical scheme and an interpretation of the experiment. But he also has to speak about his results to non-physicists who will not be satisfied unless some pictorial explanation is given in plain language.

Heisenberg's defence

Heisenberg said: "It is not surprising that our language should be incapable of describing the processes occurring within the atoms, for, it was invented to describe the experiences of daily life, and these consist only of processes involving exceedingly large numbers of atoms.

Furthermore, it is very difficult to modify our language so that it will be able to describe these atomic processes, for words can only describe things of which we can form mental pictures, and this ability, too, is a result of daily experience.

Fortunately, mathematics is not subject to this limitation, and it has been possible to invent a mathematical scheme – the quantum theory – which seems entirely adequate for the treatment of atomic processes; and for visualization."

His biggest opponent was Albert Einstein who did not endorse the uncertainty principle as a fundamental law of nature until his death. He had famously remarked: "God does not play dice with the universe" as a joke. Niels Bohr, an advocate of uncertainty principle, replied: "Don't tell God what he can and cannot do."

Who Was Jagadish Chandra Bose?

There are only a handful of people whose legacy goes on to live for-ever. Indian scientist Sir Jagadish Chandra Bose is one of them, as you shall see. He was born in Bikrampur, present-day Bangladesh, on November 30, 1858. His father was a colleague of reformist Raja Ram Mohan Roy and his mother was a housewife.

Early education

Most of Bose's education was conducted in Calcutta. After graduation in 1879, he wanted to compete for Indian Civil Service examination but his father, Bhagawan Chandra Bose, cancelled that plan. He wanted his son to become a science scholar instead, which was why, he sent Jagadish to London for further training.

Change of Plans

At first, Bose was enrolled at University of London so to become a doctor. However, he had to quit it mid-way because of illness due to the odour in dissection rooms. Therefore, he shifted his attention to natural sciences and earned a general-sciences degree from the University of Cambridge in 1884.

Work with Waves

After returning from England, Bose became a professor of physics at Presidency College, Calcutta. During a November 1894 lecture, he ignited gunpowder and rang a bell at a distance using millimetre long microwaves. He wrote: "The invisible light can easily pass through brick walls, buildings etc. Therefore, messages can be transmitted by means of it without the mediation of wires."

Bose perfected his long-distance communication technique (he invented various microwave components in doing so) but never ever thought of patenting it, unlike his European colleagues, such as Marconi, who himself was developing a telegraphy technique using radio waves.

Fun fact: In 1997, the Institute of Electrical and Electronic Engineers (IEEE) named Bose as one of the fathers of radio science.

Plant research

Bose's work with plants was one of a kind. He exposed plants to various stimuli such as microwaves, heat, chemicals, etc. By the help of his own invention, crescograph, a plant movement detector, Bose proved scientifically a parallel between animal and plant tissues. Other striking results were obtained, such as, quivering of injured plants, which Bose interpreted as a power of feeling in plants.

Agnosticism

According to his colleagues, Jagadish Chandra Bose was 60 years ahead of time. He was not only remarkable by intellect but also a very progressive human being by character. Furthermore, he was married to renowned feminist and social worker, Abala Bose.

During a conference in 1915, Bose recalled: "In the school, to which I was sent, the son of the Muslim attendant of my father sat on my right side, and the son of a fisherman sat on my left. They were my playmates. When I returned home from school accompanied by my school fellows, my mother welcomed and fed all of us without discrimination. Although she was an orthodox old-fashioned lady."

Bose grew up worshipping science and scientific method. He believed agnosticism to be the real essence of science and scientific method. A man shall not say he knows or believes that which he has "no scientific grounds" for professing to know or believe. Bose laid the foundations of "Basu Bigyan Mandir" (Bose Institute) in Kolkata, West Bengal.

He said: I dedicate today this Institute, not merely a Laboratory but a Temple. The power of physical methods applies to the establishment of that truth which can be realized directly through our senses, or through the vast expansion of the perceptive range by means of artificially created organs.

Teaching

According to physicist Satyendra Nath Bose, one of the students of Sir J.C. Bose at Presidency College, he was a brilliant teacher whose classes were visually appealing and interactive in style.

But, as a researcher, he faced racial discrimination at the University, because the British Empire continued to assert its control over Indian educational institutions. Bose was denied entry into the laboratories and his funding was often cut short.

Despite it all, J.C. Bose remained a devoted professor there for more than 30 years. In 1917, he established his own research institute and served as its director until his death in 1937.

Summing up

J.C. Bose is a celebrated figure not only for his groundbreaking discoveries and inventions in science but also for his work as an educator. His life's mission was to discourage brain-drain by providing competent research facilities in the country itself. Today, J.C. Bose is remembered as the founder of modern scientific research in India.

Who Was Lise Meitner?

Lise Meitner was an Austrian-Swedish scientist known for her discoveries of the element protactinium and nuclear fission. She was praised by Albert Einstein as the "German Marie Curie" for her long-time association with both physics and chemistry. In this post, let's take a look at 10 most amazing facts about Lise Meitner.

Collaboration with nephew

Lise Meitner became a role model for her nephew, Otto Robert Frisch, who grew up becoming a physicist himself. Together, they hypothesized that the split of Uranium in two, explained the incredible energy release in "fission", a term Frisch coined.

Her role in World War I

Meitner was known for her compassion and modesty. During the World War I, when the situation required, she served as a nurse for two years. In 1916, she resumed her physics research.

Early education & PhD

Her earliest research work began at age eight, when she kept a notebook of her records underneath her pillow. She attended the University of Vienna at age 23 and became the second woman to receive a doctoral degree in physics in 1905.

Professorship & war

In 1926, Meitner accepted a post at the University of Berlin and became the first woman in Germany to become a full professor of physics. In 1938, at the start of World War II, she had to flee Nazi Germany due to her Jewish heritage.

Help by Bohr

Niels Bohr helped Lise escape Nazi Germany in 1938. She stayed with Niels and his wife, Margrethe Bohr, at their holiday house in Tisvilde, Denmark. Meitner fled to Sweden, where she lived for many years, ultimately becoming a Swedish citizen.

Manhattan Project

When the atomic bomb project was started in 1942, Meitner was offered a key position at Los Alamos Laboratory, but she refused to work on it, saying, "I will have nothing to do with the bomb!"

Dinner with President

Meitner was known all over the world, so much so, that many claimed her the female equivalent of Einstein. She was awarded "Woman of the Year" in 1946 by the National Press Club, Washington and also joined President Truman for dinner.

Chemical elements

In 1917, Meitner discovered a stable isotope of Protactinium along with chemist Otto Hahn. She also has a chemical element named after her, a radioactive synthetic element, called the Meitnerium.

Nobel Prize snub

Meitner was nominated 19 times for Chemistry Nobel Prize and 29 times for Physics Nobel Prize but never got the top honors. Despite that, she was invited to attend the prestigious Lindau Nobel Laureate Meeting in 1962.

Critical of friends

She was critical of her friends: Otto Hahn, Max von Laue and Werner Heisenberg, they who participated in Germany's nuclear bomb project. Their association prompted Einstein to write a letter to the-then American president Roosevelt to build a bomb of their own, before the Germans did.

Meitner wrote a letter to the three: "The reason I write this to you is true friendship. You all worked for Nazi Germany and did not even try to resist...What then must the English and Americans be thinking!?" 

After her death in 1968, her nephew Frisch composed the inscription on her gravestone, which read: "Lise Meitner: a physicist who never lost her humanity."

Albert Einstein on Gandhi, Non-Violence and India

Generations to come, will scarce believe, that such a man as this one, ever in flesh and blood walked upon this earth. This was said of Mahatma Gandhi by Albert Einstein on the former's 70th birthday in 1939.

Einstein was deeply inspired by Gandhi's teachings and so much so that he called him the most enlightened of all the politicians of his time. The two never met but they exchanged letters among themselves. In other words, they were pen pals.

In 1950, two years after Gandhi's death, Einstein recorded an interview for United Nations from his study at Princeton University in New Jersey.

He said, "We should strive to do things in his spirit...Not to use violence in fighting for our cause, but by non-participation in what we believe is evil."

Gandhi's picture framed in Einstein's study

On that radio interview, Einstein advocated for non-cooperation, a peaceful form of protest against what you believe is evil. Such a movement was launched by Gandhi in 1920s.

Einstein believed that if the world were to be improved, it could not be done simply with new scientific discoveries, it also had to encompass morals and ideals.

"In this respect I feel," Einstein said: "That the Churches have much guilt. She has always allied herself with those who rule, who have political power, and more often than not, at the expense of peace and humanity as a whole."

Einstein noted that the admiration for Mahatma Gandhi in all countries of the world rests on recognition of the fact that in time of utter moral decadence, Gandhi was perhaps the only statesman to stand for a higher level of human relationship in political sphere.

Their communication began through letters. Einstein wrote the following congratulatory letter to Gandhi in the 1930s (this was after their renowned Salt March from Sabarmati Ashram to Dandi).

Translation:

"I use the presence of your friend in our home to send you these lines. You have shown through your works, that it is possible to succeed without violence even with those who have not discarded the method of violence.

We may hope that your example will spread beyond the borders of your country, and will help to establish an international authority, respected by all, that will take decisions and replace war conflicts.

P.S. I hope that I will be able to meet you face to face some day."

Gandhi responded, saying: "Dear friend, I was delighted to have your beautiful letter sent through Sundaram. It is a great consolation to me that the work I am doing finds favour in your sight. I do indeed wish that we could meet face to face and that too in India at my Ashram."

Despite their intentions, the two greats never met in person.

On Gandhi's death, Einstein wrote: He died as the victim of his own principles, because in time of disorder and general irritation in his country, he refused armed protection for himself.

5 Physicists Who Were Musically Gifted

Even though physics and music are two wildly separate fields...what is life without both of them? Without physics, there is no chemistry or biology, or that which we call living. Whereas, without music, the living cannot so eloquently express feelings such as joy, heartbreak, hope and so on.

Richard Feynman

This was a man full of life...He was an American physicist who won the Nobel Prize for his contributions to quantum electrodynamics. Even at old age, Feynman did not stop performing his famous "orange juice" song.

Albert Einstein

He had once said: "Life without playing music is inconceivable for me. I live my daydreams in music, I see my life in terms of music. If I were not a physicist I would probably be a musician. I get most joy in life out of my violin."

His mother, Pauline, played the piano reasonably well and she wanted her son to learn the violin, not only to make him fall in love with music but also to help him assimilate into German culture.

Max Planck

He was a German physicist who is known for proposing Quantum theory in 1901. Planck was a father figure to Einstein yet they both played music as if members of a western classical band.

Planck was gifted when it came to music. He took singing lessons and played organ, piano and cello, and composed his own songs. However, instead of music, Planck chose physics for a career.

S.N. Bose

He was an Indian physicist and polymath who is known for having collaborated with Albert Einstein on his original work which came to be called Bose-Einstein statistics.

Satyendra Nath Bose was gifted at playing Esraj, an Indian stringed instrument, similar to violin. He used to perform for his students and colleagues in Calcutta and Dhaka universities.

Werner Heisenberg

He was a German physicist known for uncertainty principle, one of the cornerstones of quantum mechanics. Heisenberg was highly interested in music and played together with Albert Einstein if Max Planck called it off.

He started reading sheet music at the age of four! However, as Heisenberg grew older, his love for science outgrew his passion for music, despite which, music remained a lifelong hobby of his.

When A Teacher Learned From His Student

This is a special post about the relationship between a renowned student-and-teacher duo. They are Srinivasa Ramanujan and G.H. Hardy respectively, two of the greatest mathematicians of the 20th century.

The lesson to learn here is that students are more "bindaas" meaning that they find hope when there's none...They discover joy even in the darkest of moments. Teachers, on the other hand, or adults beaten down by life's hardships, take themselves and life much too seriously.

Professor Hardy went to see Srinivasa Ramanujan in the hospital, who was terminally ill due to prolonged tuberculosis. Since they were both mathematicians, they always used to quip about numbers and letters.

Hardy, depressed over the fact that his dear student was going to die soon, remarked, that the taxi he had ridden in had a rather dull and ominous number... or so he felt.

"No sir!" A weak Ramanujan, replied after a brief pause. "It is a very interesting number. It is the smallest number expressible as the sum of two cubes in two different ways."

After pondering, Hardy couldn't help but smile. Hardy was the one to recognize Ramanujan's genius, and brought him to Cambridge University. Even now in his deathbed Hardy's favorite student managed to save the day.

The number happened to be 1729 which can be written in the following two ways:

1729 = 1³ + 12³

1729 = 9³ + 10³

Such numbers are called Hardy-Ramanujan numbers in the honor of their relationship. They are more commonly called taxicab numbers in pure mathematics.

There is a scene in the film, The Man Who Knew Infinity in which Dev Patel, who plays Ramanujan says, "I owe you so much." Professor Hardy, played by Jeremy Irons, looks him in the eye. "No, it is I who owes you!"