4/21/2016
One can never write on electricity, magnetism, electromagnetism, electrochemistry, electromagnetic induction, electrolysis and modern electronics without invoking the name of perhaps the greatest experimental scientist ever; the one and only Michael Faraday.
He was born to a man who was a humble apprentice to a village blacksmith in 1791.
Furthermore, the England he was born in was worse than any third world country of today.
Napoleon was waging his crazy fanatical wars in Europe and had even planned to invade England in 1805.
The defeat in the Battle of Trafalgar (naval engagement) in 1805 ended his dreams of making English French.
The housing of the working class was appalling, not very different to our Bombay slums.
There were no building regulations and builders built as they pleased trying to cram as many houses as possible onto every piece of land.
The toilets were usually cesspits which were infrequently empties and sometimes overflowed.
The urine and sewage would seep into the ground into well from which people drank.
The poor were treated as harshly as possible to dissuade them from taking any help from the state.
The industrial revolution in the beginning brought much suffering and misery.
Children and women were made to work very long hours (12 hours a day or longer) in the newly built textile factories.
Trade unions were illegal and workers were not allowed to demand higher wages.
It would only be in the middle of 1800s that England would start building up its empire by conquering South Africa, Australia, New Zealand, Singapore, Burma (India was already conquered for exploitation by then).
In such a miserable country and to such a lowly family was Faraday born that he managed to get the most basic school education.
By and large he educated himself by becoming an apprentice to George Riebau, a bookseller and bookbinder in Blandford Street, London at a childish age of 14.
It was this bookbinder Riebau who had arranged, through one of his customers, for Faraday tickets to hear Humphrey Davy lecture on chemistry at the Royal Institution.
My dear fellow cousin apes, I urge you to cherish and nurture books, specially on science and mathematics, but also on literature, poetry and what not.
May be one of you will give rise to a Faraday in the remotest and the most parched village of the worst of the third world country.
Good night mon ami.
4/22/2016
Generally speaking (meaning exceptions aside), the greatest of the scientists and mathematicians are very poor Messiah of science and scientific method.
Take for example Newton.
A total reclusive devoted completely to his studies with very little or no cravings for social interactions.
As usual, people have diagnosed him with Asperger's.
I am very skeptical since I too have been diagnosed the same by a few.
His landmark book:
Philosophiae Naturalis Principia Mathematica
Is a series of definitions, axioms, description of his experiments;
Hardly a stuff to entice a lay person of late 1600s.
Take another example Darwin.
He had established and was certain that all species of life have descended over time from common ancestors.
By 1837 he had very well formulated his ideas but refrained from publishing his original and seminal work for two decades!!
Can you wonder why?
So as not to offend people and specially his wife, a diehard believer of a silly Adam and Eve story.
Hardly a person to inspire confidence into young minds to do science.
On the other hand, there exists and have existed eloquent and thrilling expositors of science like Carl Sagan, Isaac Asimov, Neil de Grass Tyson who dazzle young minds when they speak or write on science.
Yet these men have contributed little original or significant to our scientific knowledge.
Michael Faraday was a rare prodigy who straddled both these worlds with a remarkable and painless serenity.
From 1827 onwards, he started delivering his famous Christmas lectures at the Royal Institution in London for the general public.
The lectures were joyful, juvenile and demonstrative.
Faraday on his art of lecturing wrote:
"A flame should be lighted at the commencement and kept alive with unremitting splendour to the end."
I hope I can achieve a fraction of this for my friend through my bed-time stories.
Stay tuned to the voice of Faraday wannabe.
Good night mon ami and my fellow kin ape.
4/23/2016
In a perfect world, I would expect James Clerk Maxwell to be a household name.
I would expect a father to be talking to his children the far reaching affects the work of Maxwell head not only to the physical sciences but the world at large.
Maxwell was everything which Michael Faraday was not.
Born in 1831 to an advocate of comfortable means at 14 Indian Street, Edinburgh, Scotland he was a single son who received almost perfect education and devoted attention of his parents.
Moreover, he was born in England which was soon becoming a mighty colonial power gobbling away all the lands that came into its way.
By 1850s, the British Empire was the largest and richest empire in the world.
Interestingly, Ireland was the first serious attempt by the British Crown and Parliament to begin the process of colonization.
The colonies would become a source of cheapest labour ever for capitalism.
The slave trade was a very strong factor that made capitalism "work".
The colonies also provided resources for the capitalism and the same colonies provided a market for trade to flourish.
So convenient.
All these factors cemented the emergence of capitalism and Britain's preeminence as a world power.
Have u ever stopped to think why Capitalism has failed to show its charm in all over Central and South Americas, whole of Africa and East Europe and Russia, and of course our dear old South Asia?
South Asia which has cheap labour, lots of young men and yet...
The magic of capitalism fails to surface.
Always question what is taken for granted.
I am sorry I digressed from Maxwell.
But hell...
It is my story.
Let me tell it the way I want to.
Let me set the rules which is simply this:
"There are no rules."
Yet, in the end I wish to point at the irony that the criticism of capitalism is coming from an ape engaged in running a private eye shop setting his own rates to cure desperate people in misery.
Stay tuned to the voice of introspection.
Good night mon ami and my fellow cousin ape.
4/24/2016
In 1707 the Mughal empire was at its peak under the reign of Aurangzeb.
It included almost whole of current India, Pakistan, Bangladesh and parts of Afghanistan.
But by 1761, it had weakened considerably by the rise of the local powers who began to assert their independence.
What or who were these local powers?
Let me name them:
1. The province of Bengal under the governorship of Murshid Quli Khan from 1717.
2. The autonomous kingdom of Hyderabad founded in 1724 by Chin Qulich Khan.
3. The third state which freed itself from the shackles of the crumbling Mughal empire was the state of Awadh (current Uttar Pradesh and Haryana) under the governorship of Saadat Khan.
4. The Marathas were rebelling against the Mughals and was initially founded as a small kingdom by Shivaji in early 1700s.
5. The Sikhs under the 10th guru, Guru Gobind Singh in 1699 transformed themselves into a military organization by establishing the brotherhood of Khalsa.
(Guru Nanak started Sikhism in 1480s when Babur was founding the Mughal empire).
6. The Jat kingdom of Bharatpur in the Delhi-Mathura region under Suraj Mal. (The Jat state collapsed in 1763).
7. The Afghan state (small one) founded by Ali Muhammad Khan in Rohilkand near the Himalayas.
(The Afghans operated as fluid ethnic group of mercenary soldiers in the military labor market of North India).
8. The principality of Rajput kingdoms around Marwar under Raj Singh
9. The principality of Mysore or Travancore under Hyder Ali in 1761 and later his son Tipu Sultan.
So the Indian subcontinent in mid or late 1700s was a hodge podge of working Mughal empire along with political powers dispersed all over.
Was this not the perfect stage for all the European powers like Dutch, Portuguese, French and British already butchering and slaughtering each other to look for resources outside their tiny countries.
And they had guns and steel and thanks to men like Cunaeus and Musschenbroek, Coulomb, Ampere, Galvani, Volta, Oersted, Ohm and many more, they were on their way to developing powerful technologies.
Our fates were sealed.
(Though it terrifies me even more to think or imagine if the British had not come and these 9 powers were battling it out by themselves).
Do u see how so many thousands of chance events have went on to lead to our being here.
Chance events rule our lives and we silly apes find it extremely hard to digest it;
or in order to digest it we create gods to give ourselves false comfort that we have some control over our lives.
Stay tuned to the voice which explores history in an enchanting manner.
Good night mon ami and my fellow helpless cousin apes.
4/25/2016
Misdirected advice
4/25/2016
James Clerk Maxwell was fascinated with geometry at an early age.
At the age of 13, he won his school's (prestigious Edinburgh Academy) mathematical medal.
He wrote his first scientific paper at the age of 14.
(Mine first came at a suspended age of 37).
In it he described the mechanical means of drawing mathematical curves with a piece of twine, and the properties of ellipses, Cartesian ovals and other curves.
(A whole story could be done on the subject of Cartesian ovals.
Just to interest an ophthalmologist, Cartesian ovals are used in lens designing).
His paper "Oval curves" was presented to the Royal Society of Edinburgh by his professor James Forbes as Maxwell was deemed too young to present it by himself.
Maxwell was extremely fortunate in that his mother recognized the potential of her son and both his parents took over in educating this brilliant mind at home.
At the age of 16 in 1847 Maxwell joined the University of Edinburgh.
After the classes he would immerse himself in private study.
He would experiment with chemical, magnetic and electric apparatuses, focussing primarily on the properties of polarized light.
At the age of 18, Maxwell came out with two papers that were presented at the Transactions of the Royal Society of Edinburgh.
One was on the equilibrium of elastic solids. In this process he discovered photoelasticity (another top for bed-time story).
The other paper was "Rolling Curves".
Once again he was considered too young to stand at the rostrum and present it himself.
His tutor delivered it for him.
The most amazing about Maxwell was that his country or his society was backing his each and every contribution.
Most other societies at that time were not favourable for accommodating or nourishing such great minds.
No wonder the greatest of the great from India like C.V. Raman, Chandrashekhar, Ramanujan to name a few, had to leave India.
I am sorry to say, but the trend continues till this date where even today original thinking and creativity can easily be crushed and remain unrewarded and unappreciated in our society.
Specially if it concerns fundamental research like mathematics and basic sciences.
Stay tuned to the voice on greatest of minds that have arisen from the family of Hominidae or the great apes.
Good night mon ami and my fellow cousin ape.
4/25/2016
Souless is priceless.
Time to turn in.
With Alan Turing.
4/26/2016
No match
4/26/2016
In 1860 at the age of 29, the young Scotsman eventually moved to King's College in London.
Between 1861 and 1862 Maxwell published a paper in four parts titled:
On Physical Lines of Force.
Pretty ordinary name I dare say.
In it, he proposed a generalized model of Faraday's experiments.
(He would meet Faraday at the Royal Institution Lectures.
Faraday was 40 years his senior.)
He showed through 20 differential equations using 20 variables how electricity and magnetism could be or are related.
It was another forgotten brilliant mind Oliver Heaviside who reduced these 20 differential equations to just 4 using just 4 variables:
B magnetic flux
E electrical field
J electric current density (current per unit area)
Rho Charge density (charge per unit length or surface area or volume)
Maxwell had expressed his 20 equations in the algebra of quaternions.
Oliver Heaviside however presented these equations (beside reducing them to 4) in modern vector format using the nabla operator devised by William Rowan Hamilton.
Maxwell used a concept called "sea of molecular vortices" thus implying a medium in which there occurs transverse undulations of electric and magnetic phenomena.
Maxwell was in fact making an analogy of electric and magnetic phenomena with sound.
As you can see, if you scrutinize the paper deeply, there were some things which he got wrong.
But it was what he got right changed the way we perceived reality for ever.
He was predicting an oscillating electromagnetic wave.
He was predicting its speed.
And the speed of these waves was approximately the same as that of the light!
In one of his lectures at King's college he commented:
"We can scarcely avoid the conclusion that light consist of transverse undulations of the same medium which is the cause of electric and magnetic phenomena".
That, mon ami, was history being made.
This paper ranks along with outstanding and landmark papers in science like Einstein's Annus Mirabilis (extraordinary year) papers and Newton's Principia Mathematica.
These men are the few on whose shoulders we can sit and claim that we have risen higher than our fellow cousin apes.
Rest of us live just as other great apes do.
Eat, breed and die.
Good night mon ami and my fellow humble ape.
4/27/2016
Maxwell had used a very strange mathematics in his original 20 equations in his 4 part papers of 1861-62.
This mathematics is called the quaternions.
Now quaternions are a number system very different from what we have been taught.
This unique system of mathematics has been devised by an Irishman William Rowan Hamilton who was born in the filthy and primitive Dublin of 1805 (few years after Faraday).
Now just look how a mathematician ape thinks.
This ape was wondering how to represent complex numbers in a three dimensional plane.
Isn't it crazy?
How would attacking this problem help him acquire wealth and power to seduce a female ape and breed?
Yet, this is what mathematicians are.
And in a poor overpopulated society, they are a burden with no utility value.
Yet, the Trinity college at Dublin had developed enough to support and fund such a mind (to feed him, house him and enable him to breed).
But what are complex numbers?
A complex number is any number that can be expressed in the form:
a + bi where
a and b are the real numbers and I is the imaginary unit that satisfies the equation:
i^2 = - 1
To represent a complex number on a three dimensional plane was done.
He actually failed in this mission.
However, in working with four dimensions he created the quaternions.
It was on the 16th of October 1843 as he was walking on the stony Brougham bridge in Dublin that in a flash of genius he discovered the fundamental formula for quaternion multiplication
i^2 = j^2 = k^2 = ijk = - 1
Hamilton promptly carved this equation using a penknife into the side of this bridge.
Today the carving has been eroded by the elements of weather and time.
But a plaque on the underside of this bridge still stands to mark that spark of intuitive genius.
Stay tuned to the voice of fascinating numbers which have been dulled and sullied by rote education.
Good night mon ami and my fellow ape.
4/28/2016
Heinrich Hertz was born in 1857 which was now the German Confederation.
These were loose association of 39 German speaking countries trying to forge out from the already weakened Roman Catholic Empire.
He was a very bright boy who took a strong liking towards sciences and languages.
At the age of 29 in the year 1879 he began to pursue his PhD from the University of Berlin under the great Hermann Von Helmholtz.
(Helmholtz has made great contributions to my own field of ophthalmology, optics and visual science).
Helmholtz suggested that Hertz should do a doctoral dissertation on testing Maxwell's theory of electromagnetism.
If you have been reading my bed-time stories scrupulously, you would know that Maxwell's papers were largely theoretical.
In fact, Maxwell was largely converting Faraday's experimental data into mathematical equations.
Yet, from those equations, he was coming to earth shattering conclusions and making testable predictions.
This, mon ami, you must realize is what makes scientific truth so special.
Let not post modern cultural relativists fool you into believing that there can be multiple cultural or religious versions of truth.
Once again I digress... But at times it is essential.
Helmholtz meanwhile being a scientific pezzonovante had proposed the Berlin Prize problem that year at the Prussian Academy of Sciences, Berlin (today it houses the Berlin State Library).
This award would be bestowed to anyone who could experimentally prove an electromagnetic effect in the polarization and depolarization of insulators, something predicted by Maxwell's theory.
Helmholtz in fact wanted Hertz to win the prize.
But Hertz did not know how to build an apparatus that would enable him to perform this experiment.
He gave this problem a rest and instead began to work on electromagnetic induction.
Let us take a break now mon ami as did Hertz.
Stay tuned to the voice of great experiments.
Good night mon ami and my fellow experimental ape.
(Yes, we all learn our way through this big bad world by trial and error).
And trust me on this one;
This is one hell of a bad world if not hell itself.
4/28/2016
Hah
Good one
4/29/2016
The protector in the closet
4/29/2016
Ever since Faraday had discovered the induction, several induction coils came into play.
The induction coil is a type of electrical transformer used to produce high voltage pulse from a low voltage DC.
We had left last night with Hertz getting stuck.
In 1886 while experimenting with with a pair of Reiss spirals (spirally wound conductors with metal balls at their ends) he noticed that discharging a Leyden jar into one of these coils would produce a spark in the other coil.
This was the spark he needed to set up the apparatus required to clinch the Berlin prize of Helmholtz.
He set up this induction coil that would be the generator of his electromagnetic waves.
Then he constructed a receiver which was a near circular metallic ring, their ends separated by a few millimeters.
This would be the world's first half wave dipole antenna.
His assistant switched on the transmitter or the induction coil.
Hertz himself holding the circular metallic ring edged closer towards the receiver observing carefully the separated ends under a magnifying lens.
The room was kept dark.
At a distance of about 2 meters, sparks began to jump across the gap between the ends of the receiver's conductors.
And Hertz knew exactly why this was happening.
His first half wave dipole antenna was receiving power from a radio or an electromagnetic wave.
How the power in the antenna is generated by an electromagnetic wave is a whole new topic for bed-time story.
When Hertz reported this Helmholtz, the reply was:
Bravo!
4/29/2016
Between 1886 and 1889 between the age of 29 to 32, Hertz would go on to conduct a series of experiments.
He wrote to his father:
"I an working like a factory hand repeating my every step a thousand times over.
I spend hours on end drilling one hole after another."
This meticulous and voluminous scientist never even remotely understand the significance of his work.
This is what he had to say on his radio wave experiments:
"It is of no use whatsoever [...] this is just an experiment that proves Maestro Maxwell was right.
We have these mysterious electromagnetic waves that we cannot see with the naked eye. But they are there."
Asked about the ramifications of his discoveries, Hertz replied,:
"Nothing, I guess."
Sometimes the greatest of the great apes are too humble to see the significance of what they did.
Stay tuned to this awesome frequency of discovery and reeducation.
Good night mon ami and my fellow cousin ape.
4/29/2016
Must be a pun I guess
Though not certemente
4/30/2016
Some animals don't have to go to school
4/30/2016
When an electric current passes through a conductor, heat is generated.
The heat (H) generated is proportional to the square of the current I.
H ~ I^2 . R. t
R is the resistance
t is time
This awesome relationship was discovered independently by two great men:
Heinrich Lenz - a Russian of Baltic German ethnicity born in 1804 in Estonia which was then under the Russian Empire.
and
James Prescott Joule - an Englishman born in the United Kingdom of 1818 which was on its way to becoming a powerful colonial power.
Just to let you know, the Russian Empire has been one of the largest empires in the world history, stretching over three continents.
In terms of landmass, it has only been surpassed by the British and Mongol empires.
Yet, like India today, the Russian empire was predominantly a rural society (80% Russians were peasants) spread over vast spaces.
The empire, just like today's Russia, was in a continuous state of financial crisis.
While revenues rose, the expenses always grew more rapidly.
(This reminds me of today's America and India whose both central and state governments are forever in debt.
Debt from or to whom?
To the future.
So any child born in America or India is born with a debt on his or her shoulders... Along with scarcity of water, space, jobs, seats in good colleges and resources in general).
The empire was spending excessively on its large and glorious army, super large and complex bureaucracy and a splendid court to rival Paris and London.
The empire was living far beyond its means while the United Kingdom kept on scavenging for territories and resources around the world.
Again I digress.
But digressing is a luxury I have since I am not educating for exams, college seats and entrance exams which is a tyranny in the name of education.
Stay tuned to the voice of learning from history.
The lesson that men will always screw up.
Good night mon ami and my fellow apes who live within their means.
5/1/2016
Ask an eye doctor what is the normal pupillary diameter, and they will rush to scream out 2 mm (photopic) to 4 mm (mesopic).
But ask him the question:
"What is the cause of blurry vision in a dilated pupil?" and you will see head scratching and eyes looking skyward.
The fact is that our eyes are a highly flawed spherocylindrical optical devises that instead of generating a sharp focal point generate a conoid of Sturm.
The propagation of light in biological optics is often studied using the principal of wavefronts (besides ray diagrams).
These wavefronts are obtained using both Maxwell's equations and Huygens principal (a full topic for a bed-time story).
When light passes through our pupils and lens, the wavefronts generated are full of lower order and higher order aberrations.
The lower order aberrations include the common refractive errors like myopia, hyperopia and astigmatism which are nearly universal in us apes.
The higher order aberrations are much subtle and are calculated using the mathematics of Zernicke polynomials (a whole topic for a bed-time story series).
Besides these, there are some specific aberrations that are caused by the fundamental properties of light or in fact, any electromagnetic wave as demonstrated and proved by the brilliant Heinrich Hertz.
They are:
1. Spherical aberration in which light from the periphery of a biconvex lens comes to focus before the central rays.
2. Chromatic aberration in which light of different colours or wavelength comes to focus at different points.
3. Diffraction (as shown by Young and a whole new topic you know for what...) which is bending of light or any electromagnetic wave at edges.
So armed with knowledge, let me pose another question:
Why did the nature select our pupil size to be in the range of 2 to 4 mm?
Let me give you a hint.
Nothing in biology makes sense unless except in the light of evolution. (Theodosius Dobzhansky).
I shall probably answer it soon but the point is to make you think.
Stay tuned to the voice of evolutionary biology and optics.
Good night mon ami and my fellow evolved cousin ape.
5/1/2016
Just a small correction.
Theodosius Dobzhansky's exact words were:
Nothing in biology makes sense except in the light of evolution.
5/2/2016
Optically speaking, pupil is the eye's aperture and iris is the aperture stop.
Nearly all animals with eyes have evolved pupil, though of varying shapes depending on the type of evolutionary pressures their environment and life style demands.
Pupil besides regulating the light quantum entering the eye is a powerful tool of minimizing the optical aberrations, specially the higher order aberrations (HOA) like spherical aberration.
As the pupil dilates, more and more of the rays coming from the peripheral lens come into play.
This shifts the focus forward as the rays refract far more from periphery than in the center.
Myopia is nothing but focusing of rays from the lens in front of the macula (of retina).
What makes the pupil size even more critical is that the spherical aberration increases as the fourth power of the pupillary diameter.
So doubling of pupil size even from 2 to 4 mm increases spherical aberration 16 times.
You can imagine the havoc in the visual acuity caused by our iatrogenic pharmacological dilation.
But what happens when pupil becomes small or smaller?
That should be good right?
You would expect greater depth of focus as in a camera (meaning more objects lying at various distances from eye staying in focus).
True. It happens.
But this gain is offset by diffraction which sets in as soon as the pupil slit size becomes comparable to the wavelengths of light.
In fact, all optical systems including the eye have a fundamental limitation to their resolving power due to diffraction.
(This limit is given by
d = lambda/2n sin theta)
This a complete topic by itself.
So nature has found this golden mean.
Of course you do realize that when I say nature had "found" or "selected" or "chosen", it is just me anthropomorphising nature.
Nature is indifferent to our living or dying, least of all well being.
So, in the African savannahs, those apes which had the pupil sizes of 2 to 4 mm statistically survived, mated and bred better than those with outlying pupil sizes.
Stay tuned.
Time to hit the bed mon ami and give my evolved retina some rest.
5/2/2016
This is by far the best repartee!
Most impressive
5/3/2016
A sweet little boy looking for a special Valentine bouquet
5/3/2016
The greatest fundamental breakthroughs in the world of electronics happened in primitive Europe which was constantly involved in warfare.
Later the reign of progress was taken over by the United Kingdom with astonishing discoveries.
Remember, always remember, that these advancements were made by a handful few; the masses on the other hand were involved solely in eating, mating, breeding.
Now the engine of progress would shift further west across the Atlantic.
In 1750s, the United States or the North America (there was no US, Canada or Mexico then), was essentially a colony of three European powers France, Great Britain and Spain.
When the Europeans first came to the Americas in 1600s, they brought in horses, cattle and hogs.
Also came with them the germs of small pox and measles to which the Native Americans had no immunity.
The germs did for Europeans what normally guns and steel do - wipe out the whole of native population paving way for the settlement of white man.
But even as the white men settled along the east coast, often known as New England, they began to exploit each other.
They were the colonies of Britain just like India and again provided the empire with tremendous resources to boost capitalism (This is generally how capitalism works. Its unseen cost is never spoken or explained).
So in 1775, the Thirteen Colonies on the east coast of North America rebelled against the British rule.
Unlike our peaceful Gandhi, American Revolutionary war or the war of Independence was a protracted world war of 8 long years from 1775 to 1783.
France, Spain, Netherlands and the Kingdom of Mysore in India became allies of the United States of America which the Thirteen Colonies began to call themselves.
Great Britain had German auxiliaries and some Native allies.
This world war claimed over 120,000 lives over 8 years 4 months and 15 days.
So it was in 1783 that a nation was forged which would take the science of electronics to unprecedented heights.
Remember my fellow apes, no one will serve you your rights and dignity on a platter.
You will have to battle it out and earn it in ways more than one.
Stay tuned to the voice of dignity and earned respect.
Good night mon ami and my fellow cousin ape.
5/4/2016
Interestingly enough, commercial telegraph happened to be launched nearly simultaneously both in England and the United States, a newly born nation.
In the year 1837, William Cooke and Charles Wheatstone patented a telegraph system which used a number of needles on board.
These needles could point to letters of the alphabet.
By the way, Sir Charles Wheatstone is popularly known to all of us through his Wheatstone bridge, a devise used to measure an unknown electric resistance.
In the United States, it was Samuel Morse who had independently developed and patented an electrical telegraph in the same year of 1837.
With the invention of telegraph arose the need for codes and encryption.
Let me briefly tell you what these terms mean:
1. Encoding is done to transform data so that it can be properly and
safely consumed by a different type of system.
Example: Binary data being sent over an email.
The goal is not secrecy.
2. Encryption is the transformation of data to keep it secret.
It uses a key which is kept secret.
3. Hashing is done to preserve the integrity of data.
Its characteristics are:
Same input should always produce same output.
Multiple disparate inputs does not produce same output.
4. Obfuscation is transforming a data to make it harder to understand or to be replicated or to be reverse engineered.
The sophistication and cat and mouse game will only get tougher.
Stay tuned to the voice of decoding the nature of reality.
Good night mon ami and my fellow genetically coded apes.
5/5/2016
Little do we eye doctors realize how strongly we are dependent on complicated mathematics (it may well be that the term simple mathematics is an oxymoron) and the works of mathematicians for our income and livelihood.
One of them is a very little known man by the name Philipp Ludwig von Seidel, born in the German empire in 1896.
You would recall this from my bed-time stories that this was a brief interlude phase after the dissolution of the Holy Roman Empire in 1806 and the German November Revolution of 1918 with the creation of Weimar Republic or the German Reich.
Seidel as a mathematician is known for his work in uniform convergence.
It was based on a proof published by Cauchy that a convergent sum of continuous functions is always continuous.
The proof turned out to be incorrect though the topic became of immense interest for the leading mathematicians since then.
More important for me as a eye doctor, Seidel decomposed the first order monochromatic aberrations into 5:
1. Spherical aberration: difference in focal lengths between paraxial rays and marginal rays emerging after refracting from lens.
2. Coma:
A defect by which points appear as comet-like asymmetrical patches.
Its magnitude is again determined mathematically using the optical sine theorem.
3. Astigmatism:
Wherein the image of a point forms focal lines at the sagittal and tangential foci.
4. Curvature of a field:
Which arises when the image instead of lying on a flat plane falls on a curved surface.
Example images falling on our retinas.
5. Distortion:
Which can be barrel or pincushion type.
These are the five Seidel aberrations based on series expansions (more mathematics) which plague the workings of every optical devise including the eyes of apes and non apes.
This is a fascinating topic and I have to keep coming back to it.
Stay tuned to the voice of least distortion.
Good night mon ami and my fellow cousin ape.
5/6/2016
Frits Zernike was born in the Amsterdam, Netherlands of 1888 to Carl and Antje, both teachers of mathematics.
His father though a teacher of mathematics had a strong passion for physics which he infected his son with (religion too works in the same way).
The tiny European nations of 1880s were surging ahead with imperialism.
I believe it was a natural outcome of industrialization and capitalism and thereby the default need for resources, cheap labour and markets.
(Though imperialism is as old as humanity itself.
We can safely be called the imperialistic apes).
Zernike studied chemistry (his major), mathematics and physics at the University of Amsterdam.
By the age of 32 he had become a full professor of theoretical physics at the University of Groningen which ranks 75 in the world today.
(Number one being Harvard).
His main interest was physical optics on topics like spectral lines, diffraction, aberrations of optical imaging systems and coherence.
For reasons unknown to me, he was also working on pure mathematics on a subject called polynomials.
We have all solved polynomial equations which involve variables and coefficients like:
x^2 - 4x + 7 or
x^3 = 27
and drawn graphs for polynomial functions like
The graph for the function
f(x) = 0
is the x axis
Zernike worked on polynomials that were orthogonal on a unit disc (disc around point P where the set of points from P is less than 1).
Quite remarkably, this abstract mathematics of orthogonal polynomials on a unit disc seemed to describe the wavefront data of optical systems quite well (much better than Seidel's representation).
Since the 1960s, Zernike's polynomials are widely used in optical design, optical metrology and image analysis.
Of course, as an eye doctor we are not required to know the mathematics or even basic polynomials except for passing exams, I will give a brief picture of how Zernike represented the optical aberrations through his orthogonal polynomials on unit disc.
Stay tuned to the voice of polynomials.
Good night mon ami and my fellow ape who has risen to do mathematics higher than addition.
5/6/2016
Dobroi nochi veliki vrach!
5/6/2016
Zernike's orthogonal polynomials
5/7/2016
The class bully for a friend
5/7/2016
One of the big leaps in the world of electronics after telegraphy was the invention of the vacuum tubes.
If telegraphy was the control of electromagnetic waves by the upright ape, vacuum tube would be the control of electric current itself.
One oddity of this vacuum tube or the electron tube is its discovery preceded the detection of electron itself.
Quite a few people contributed to the origination of this revolutionary devise.
John Ambrose Fleming
William Crookes
Nikola Tesla
Thomas Edison
Eugen Goldstein
Johann Wilhelm Hittorf
to name a few.
They all worked on it in 1860s and 1870s, an era of inventions upon inventions, seminal discoveries after discoveries.
A vacuum tube is based on a phenomenon called thermionic emission.
In 1873, Frederick Guthrie, a scientific writer noticed that a red hot negatively charged iron sphere would loose its charge as if somehow discharging it into thin air.
This did not happen if the sphere had a positive charge.
Thomas Edison in 1880 while working with his lamp filaments and bulbs discovered that if he added a positively charged filament and heated another filament by an external power source, he could get a significant current.
The more he heated the negatively charged filament, the more the current.
Like a true American, he filed a patent for this voltage regulating device without even knowing why it behaved so.
The US patent 307,031 was given to this device on November 15, 1883 and it would be the first US patent for an electronic devise.
The Thirteen Colonies that on July 4, 1776 had declared themselves to be the sovereign nation of the United States of America was now really coming of age.
This vacuum tube is a fascinating topic as it offered multiple ways to manipulate an electric current and more has to written on it.
Stay tuned to the voice of a bright lamp.
Good night mon ami and my fellow ape who controls electric current every day of his life.
5/8/2016
So what exactly is a vacuum tube?
Well, the simplest tube is a glass tube from which air has been sucked out.
One one end is a heating filament which on getting heated up electrically from external source starts emitting electron.
This is due to thermionic emission as discovered by Edison but who himself had no good explanation then.
On the opposite is a plate which is maintained at a positive charge once again by an external source.
So u see, to operate a vacuum tube you need 2 power sources.
When it operates, the electron discharged from the heated filament starts to flow towards the positive charged plate.
This simple vacuum tube is called a diode as it has just 2 elements.
This simple device can convert an alternating current to a direct current and hence as a rectifier (you can watch on YouTube how simple it is).
This simplest vacuum tube or the diode was patented by John Ambrose Fleming in 1904.
If you add a grid between these two elements, you get a triode.
Now, if this grid in between will have a positive charge, it would attract more electrons and hence triode can be used an amplifier of electric currents.
Fitting in 2 grids would result in tetrodes and 3 grids in pentodes capable of more sophisticated manipulation of currents.
But keeping the vacuum inside the glass bulb was paramount.
Why so?
Well...
Gases (other than inert) would get ionized due to electrons bombardment would in turn affect or rather disrupt this linear unidirectional flow of electrons.
Now just imagine, with this simple devise in your hand, could you ever have thought of building a computer?
Forget computer.
Even a machine capable of making logical decisions?
But what is logic?
What is computer?
Who did thought of it?
Could a homosexual atheist who was NOT god fearing have thought or conceived of such a machine?
Behind this simple vacuum tube lies a story exciting and fascinating and tragic that must be to narrated very carefully and delicately mon ami.
By the way, thanks to my very best mom ami, I have seen with my very own eyes this wonderful history of computing who actually was gracious enough to have walked and talked this average ape through all the exhibits at Mountain View, California.
As you can see, it was not in vain.
Stay tuned to the voice of Pan narrans, the storytelling chimpanzee.
Good night mon ami and my fellow cousin ape.
5/9/2016
Nobody has described love better than our learned Hobbes
5/9/2016
Thomas Flowers also known as Tommy was born in December of 1905 to a bricklayer (meaning nobody).
While undertaking an apprenticeship in mechanical engineering, he took evening classes at the University of London in electrical engineering.
In 1904 the phones were connected by manual switchboard exchanges.
Manual means humans particularly young women stuffing the plugs in and out on the switchboard connecting one speaker to another.
It was Tommy who explored the use of electronics for telephone exchanges and by 1939 was convinced that an all-electronic system was possible.
It was also being realized that these vacuum tubes can be used as switches and thus making electronic computing possible.
Then came the dreaded world war 2 with Hitler unleashing his highly efficient and ruthless Wehrmacht all over the Europe, Soviet Union and Britain.
This Wehrmacht was communicating and coordinating among themselves using Lorenz SZ cipher machines that were developed by an electrical and electronics firm called C. Lorenz AG.
Flowers first contact with the wartime codebreaking effort came in February 1941 when his director was asked for help by Alan Turing who was then working at the government's Bletchley Park 50 miles north west of London in Buckinghamshire.
Flowers was convinced that he could build an electronic system using these same humble vacuum tubes and a paper tape.
This colossal idea turned out to be the Colossus, the first programmable electronic digital computer.
In fact, Colossus was not one but a series of computers that were built between 1943-45 by the British codebreakers.
All this from a son of a bricklayer who pursued his degree of electrical engineering in the evening classes.
This is a ape who fills me both with pride and humility at the same time.
Stay tuned to the voice of Pans narrans, the story telling chimpanzee.
Chimpanzees have been classified under the genus Pan just like humans have been put under the genus Homo.
Both come under the same family Hominidae.
I disagree.
We both should have shared the same genus as well.
Good night mon ami and my fellow 24-hour computer holding ape.
5/10/2016
We saw Tommy Flowers build a computing machine with vacuum tubes or the diodes.
But what did he exactly build?
What did these vacuum tubes do?
At the very heart of the theory of computing or the computer science lies logic.
Yes, mathematical logic and more.
(something I strongly intuit that is lacking in the brain of human apes).
The two men who lie at the core of the devices that you are holding are:
1. Alonzo Church an American mathematician and logician born in 1903 in Washington D.C.
2. Alan Turing an English mathematician, logician and a theoretical biologist born in London in 1912.
Both of them were strongly and deeply interested in the work of Kurt Gödel (he and Einstein became good friends at the Institute for Advanced Study {IAS} at Princeton).
Thus you see mon ami, at the heart of the devices that you hold is electronics.
But still deeper to electronics lie the mathematics of men like Kurt Gödel that shook the very edifice on mathematics stood in early 1900s.
Just at the age of 25, Gödel published his two incompleteness theorems.
In these papers he proved that for any logical system powerful enough to characterize arithmetic will contain statements that can neither be proven true not false within that system.
This can be supposed to be Heisenberg's Uncertainty Principle of mathematics.
It set a fundamental limitations on what mathematics can prove or how rigorous it can be.
It also has direct application to theoretical issues relating to the feasibility of proving the completeness and correctness of software.
I shall slow down as this is heady stuff.
It is actually a shocker to anybody who cares even a teeny weeny bit on the logical foundations of mathematics.
The term Q.E.D. or quod erat demonstrandum (which is what had to be proven) just got a bit more elusive.
Stay tuned to the voice of Pan narrans, the storytelling chimpanzee.
Good night mon ami and my fellow story listening ape.
5/10/2016
Hah
5/11/2016
Coming home to a hungry tiger
"How can dead dumb vacuum tubes achieve logic when millions of neurons in a brain generally do not?"
Well...
It once again boils down to arithmetics, algebra and a man born to a shoemaker in 1815.
His name is George Boole.
A self taught man, by the age of 16 he was the breadwinner for his parents and three younger siblings (makes me crawl under ground) by teaching at a high school in Doncaster in South Yorkshire, England.
By the age of 19 he had established his own school (What a guy!) in those dark ages.
He started studying algebra on his own.
In 1854 at the age of 39 he published a monograph titled:
"An investigation of the Laws of Thought on which are founded the Mathematical Theories of Logic and Probabilities."
This manuscript contained the starting elements of algebraic logic though it is very different from the modern Boolean algebra.
Yet, for the first time in human history, he was giving a mathematical foundation to logic.
Boole had reduced the 4 propositional forms of Aristotle's logic to formulas in the form of equations.
His work yet in the abstract setting was worked upon by men like Jevons, Schroeder, Huntington etc until the modern conception was achieved.
It was Claude Shannon, an American who as a 21 year old M.S. student at MIT in 1937 wrote his thesis showing that electrical circuits could be made to perform the logic of Boolean algebra.
By the way, Alan Turing met Shannon in 1943 when he was posted to Washington.
Turing showed him his 1936 paper that defined what we now call the Universal Turing machine.
Shannon was very impressed.
It would not have impressed an average mind like mine at the time when the entire humanity was bent on killing each other on all the continents.
In the Indian subcontinent then, two groups of apes same in all respects were butchering each other for the sake of some crazy belief in some crazy gods.
Stay tuned to the voice of Pan narrans, the chimpanzee who will put things in their proper perspective to demonstrate both our greatness and stupidity.
Good night mon ami and my fellow cousin ape who operates Boolean function and logic gates everyday in total ignorance.
5/11/2016
Just briefly on Aristotelian logic.
All propositions consists of 2 terms.
Propositions are of 4 types:
1. A-type
Universal and affirmative
(All doctors are good surgeons)
2. I-type
Particular and affirmative
(Some doctors are good surgeons).
3. E-type
Universal and negative
(All doctors are bad surgeons).
4. O-type
Particular and negative
(Some doctors are bad surgeons).
5/11/2016
Good night noble syllologist, there shall only be 10 kinds of people those who understand logic and those who don't
5/12/2016
Driving with a demon
Is there a mechanical procedure for separating mathematical truths from mathematical falsehoods?
This innocuous sounding question was a challenge posed by the mathematician David Hilbert in 1928.
It is also famously known as the 'decision problem' or the Entscheidungsproblem.
In other words, is there an algorithm that takes as input a statement of first-order logic (which by itself needs a lot of explaining and thinking) and can answer "yes" or "no" whether that statement is universally valid?
Kurt Gödel had first worked on it creating his recursive functions.
Church and Turing independently came to the conclusion that a function of natural numbers is lambda computable (as defined by Church) if and only if it is Turing computable (on a Turing machine) if and only if it is general recursive.
This is a very very very powerful statement which till this day is a area of intense study and scrutiny by men in different theoretical fields.
Doctors of course would be least interested.
Nurses would throw this thesis into garbage as rubbish.
Stay tuned to the voice of Pan narrans, narrator of rubbish and useless stuff.
Good night mon ami and my fellow cousin ape.
5/12/2016
Computer science department of Princeton 1930s
5/12/2016
Yes yes
Have read this effect several times
Though keep forgetting these eponymous names
5/13/2016
If Albert Einstein became the poster boy of a genius in theoretical physics, it was John von Neumann (pronounced as Noiman) who represented the genius in computer science in 1930s and 1940s.
He could be thought of as the Hungarian Ramanujan whose ability to perform complex operations in his head stunned other mathematicians.
In fact, his closest friend was Stanislaw Ulam, another brilliant mathematician from Poland-Austria-Hungary (these political borders are meaningless for great minds).
He was born in 1903 in Budapest, Kingdom of Hungary (which was a part of the Austro-Hungarian Empire) as Neumann Janos Lajos to wealthy Jewish parents.
By the age of 8 he was familiar with differential and integral calculus (and I am still unfamiliar with them)!
At the age of 15, he began to study advanced calculus with the renowned analyst Gabor Szego (made fundamental contributions to orthogonal polynomials. Remember Zernike?).
On their first meeting, Szego was so astounded with the boy's mathematical talent that he was bought to tears.
When he moved to the University of Berlin in 1928 as privatdozent, he began to publish papers at a rate of nearly one per month!!
Stan Ulam described Neumann's mastery of mathematics as follows:
1. He had the gift with symbolic manipulation of linear operators.
2. An intuitive feeling for exam the logical structure of any new mathematical theory.
3. An intuitive feeling for for the combinatorial superstructure of new theories.
Stay tuned to know more on this legendary human ape.
Good night mon ami and my fellow cousin ape.
5/14/2016
Learning grammar with Hobbes
5/14/2016
What Euler was to 1700s and Gauss to 1800s, von Neumann was to 1900s.
They were mathematicians that would be the envy of other great peer of their leagues.
Hans Bethe of Cornell (remember him?) remarked:
"I have sometimes wondered whether a brain like von Neumann's does not indicate a species superior to that of man".
Still, let us stick to computing for a while.
Von Neumann was a founding figure in computing.
While consulting for the EDVAC (the first binary computer with a stored program), he described a computer architecture in which the data and the program are both stored in the computer's memory in the same address place.
This architecture to this day forms the basis of modern computer design.
The earlier computers, the Colossus series and the Bombe (more of an electromechanical device) were "programmed" using a separate memory device such as paper tape or plugboard.
Then in his pioneering 1953 paper he first described stochastic computing.
The word stochastic signifies assumptive, speculative, something vague or random.
Stochastic computing is a highly technical idea and tool for which I am incompetent to explain well.
He created the whole new field of cellular automata with his universal constructor or a self replicating machine.
Just like Turing, von Neumann was also interested in biology particularly evolution.
He stated the problem as follows:
How is the complexity growth and evolvability of biological organisms possible?
In his unfinished work he considered conflict and interactions between replicators.
All this is just a tiny fraction of the output of this great mind in the short span of 53 years.
I will probably devote a bed-time story in describing his superhuman cognitive abilities which dazzled even the brightest minds at the IAS, Princeton around him.
Stay tuned to the voice of Pan narrans.
Good night mon ami and my fellow cousin ape.
5/14/2016
Only his science books
4 of them
Co authored with mathematician Ian Stewart
And Cohen
5/14/2016
Will do
" the essence of the blog is that every weekday I read a computer science paper which I find interesting for some reason or other and write up a summary on the blog. The way I kind of stumbled into this actually began when I started working more in the center of London and with the commute on the train, it was one hour each way, and I figured a couple of things: one is that if I do not do something productive with this commute time I am really going to come to resent it. And I was kind of looking around the carriage and observing and, as you could imagine, there were many people there reading the morning paper, being The Times, The Guardian, The Telegraph or other papers that we have here in the UK.
I am not really that interested in reading that kind of paper, but I could read more useful papers, ie. research papers and on Hacker News there are always stories like “The top 10 papers that every programmer must read” and I am sucker for that stuff. Have I read all those ten papers? I do not know. Let me find out. So I started reading them on the train and then I thought “Oh, this is kind of fun. I am reading a morning paper and they are reading a morning paper. Let me just put the 'Morning Paper' in the paper title” and it kind of snowballed from there. That is how it all began."
5/15/2016
I strongly contend that a powerful memory (specially long term but also short term working) is an essential prerequisite to high intelligence among human apes.
It does NOT follow that a brain endowed with powerful memory would by default be intelligent or logical.
By intelligence, I specially refer the ability of performing higher abstract mathematics (but not exclusively that), as that is one of the few modalities of thought that elevates a brain higher than other animals.
(Most humans 99.9% behave almost 99.9% times like their cousin chimpanzees).
In this respect, von Neumann was remarkable; he had the gift of absolute recall.
On once reading a book or article he was able to quote it back verbatim; even years later without hesitation.
His friend Herman Goldstine (one of the original developers of ENIAC) tested this ability by asking Neumann how "A Tale of Two Cities" started.
Whereupon, without a pause, Neumann immediately started to recite the first chapter until asked to stop after about 10 to 15 minutes!
His teacher George Polya, another Hungary-American mathematician said that Johnny was the only student he was afraid of.
If in the course of a lecture at ETH Zürich, Switzerland (currently ranked 5th best university in the world for engineering with 21 Nobel prizes), if he ever stated an unsolved problem, chances were that Neumann would come at the end of the lecture with the complete solution scribbled on a slip of paper.
I will end today's bed-time story with this one incident.
Neumann was given this problem to solve.
2 cyclists 20 miles apart are heading towards each other at a speed of 10 miles per hour.
A fly who flies at 15 miles per hour starts
from the front wheel of one cycle and flies to the front wheel of the other one.
Then it turns around and flies back to the front wheel of the first one.
It continues to do so until it is crushed between the 2 front wheels.
Question:
What total distance did the fly cover?
One quick smart way to solve this is that that the cyclists will cover 20 miles in 1 hour.
And since the fly does 15 miles in 1 hr, the answer must therefore be 15 miles.
Neumann when asked this question solved it instantaneously and thereby disappointed the questioner.
The questioner said:
"Oh, you must have heard the trick before!"
Neumann replied:
"What trick?
All I did was sum the geometric series."
So if you are gifted with a superior high quality memory mon ami (unlike me), pray use it well.
Stay tuned to the voice of Pan narrans.
Good night mon ami and my fellow cousin ape.
5/16/2016
I, the Pan narrans, briefly narrated to you how the humble and rather a simple device called the vacuum tube or a diode opened the flood gate of implementing logic and mathematics electronically.
But there is another fascinating side to these much maligned tubes (they blew off rather frequently).
The vacuum tubes provided a way for a handful of very intelligent apes to investigate the very essence of matter, the atoms.
The story of the atom almost runs parallel to the drama of computing, logic and mathematics.
On this stage of the play, the role of the lead actor among the dramatis personae was played by the English physicist Sir Joseph John Thompson whose atoms lie buried close to those of Sir Isaac Newton.
He was born in 1856 in Manchester, Lancashire to a man who ran an antiquarian bookshop.
Interestingly enough, his first degree was BA in mathematics (a society that can encourage its brightest minds to go for mathematics rather than civil services is a rarity) in this world of power hungry apes.
Again he did his masters in mathematics receiving the prestigious Adams Prize from the University of Cambridge (Maxwell had earned it too).
And yet surprisingly, in 1884 he was chosen to become Cavendish Professor of Physics at the University of Cambridge.
The first Cavendish professor was again James Clerk Maxwell, who then was relatively obscure.
Just like Faraday, he started he started tinkering and dabbling with the vacuum tubes which were then also known as Crookes tubes and cathode ray tubes.
Stay tuned to the voice of Pan narrans, the narrator of landmark experiments.
Good night mon ami and my fellow cousin ape made up of atoms just like anything else in the universe.
5/17/2016
A true friend
5/17/2016
To be honest, many men including William Crookes (invented Crookes tube) and Heinrich Geissler (invented Geissler tube) had observed the electrical glow discharge much before Thomson in 1850s and later.
But none could explain it.
Some speculated it to be a kind of wave.
J. J. Thomson was in the league of Newton and Faraday.
He had to investigate these magical aura like surreal light emanating out from these vacuum tubes.
Let us see what experiments he did without going into their mathematical calculations (which were critically important as well).
1. He placed magnets over and below these cathode rays (then known as Lenard rays after Philipp Lenard) and noticed they got deflected (using fluorescent screens).
2. He placed an electrometer (another fascinating device worth writing a story on) near the Cathode or the Lenard rays.
The electrometer registered a charge only when the cathode rays were deflected to it.
3. To study if Lenard rays could be affected by electrical fields, he constructed Crookes tube with higher vacuum (earlier experiments had failed to show this due to ionization of residual gas atoms).
The rays were sharpened to a thin beam by 2 metal slits, first one having a positive charge and second being earth neutral.
This beam was made to pass between 2 parallel aluminum plates which when connected to the battery produced an electrical field between them.
And Voila!
The rays got deflected and their deflection changed when the polarity of aluminium plates were reversed.
4. His fourth experiment is the classic.
He measured the charge to mass ratio of these rays by measuring the deflection by magnetic and electrical field and solving the 2 equations algebraically.
It was a transforming moment!
Just read the conclusion of Sir J.J. Thomson in his own words:
"As the cathode rays carry a charge of negative electricity, are deflected by an electrostatic force as if they were negatively electrified, and are acted upon by magnetic force in just the way this force would act on a negatively electrified body moving along the path of these rays, I can see no escape from the conclusion that these are charges of negative electricity carried by particles of matter."
Beautiful!
Logical, precise with no exaggeration.
So u do not have to see an electron to believe it exists mon ami.
Stay tuned to the voice that may often sound negative but nonetheless always seeks truth.
Good night mon ami and my fellow cousin ape.
5/18/2016
J J Thomson was a remarkable man not merely as a scientist making seminal contribution to our understanding of nature.
He could easily have rested on his laurels as the Cavendish professor of physics and doing world tours giving lectures.
He was a highly gifted teacher.
Just let me name a few of his notable students:
1. Ernest Rutherford
2. Max Born
3. Niels Bohr
4. J. Robert Oppenheimer
5. William Henry Bragg
6. Francis William Aston
7. Charles Barkla
8. George Paget Thomson
And many more.
Eight of his students went on to win the Nobel in either Physics or Chemistry.
The last name in the list is his son!
The father proved that the electrons were discrete particles which he called corpuscles (quite a popular name those days. Newton used it for photons).
Ironically enough, his son George Paget got the Nobel for demonstrating that the electron undergoes diffraction and behaves like a wave.
Thus he proved the de Broglie hypothesis.
Louis de Broglie in his 1924 PhD thesis had theoretically postulated the wave nature of electrons.
He went further to suggest that all matter has wave properties (at subatomic levels).
Thus J.J. Thomson set of a chain reaction quite literally if you know what I mean (J. Robert Oppenheimer is among those who are called the "father of the atomic bomb").
And all this started from a humble vacuum tube!
Stay tuned to the voice of Pan narrans.
Good night mon ami and my fellow cousin apes living in the planet ruled by electrons.
5/19/2016
Louis de Broglie was born in 1892 in Dieppe France in a royal family called the House of Broglie.
His first degree was BA in history as he planned to pursue humanity (being wealthy he had no financial stress).
Later for some reason he started studying mathematics and physics and got his next degree BA in sciences in 1913 and then PhD in 1924.
All from the University of Paris metonymically known as Sorbonne.
(Other example of metonymy as a figure of speech is the Wall Street which signifies US financial and corporate sector).
De Broglie in his 1924 thesis wrote this:
"The fundamental idea is following:
The fact that, following Einstein's introduction of photons in light waves, one knew that light contains particles which are concentrations of energy incorporated into the wave, suggests that all particles, like the electron, must be transported by a wave into which it is incorporated...
My essential idea was to extend to all particles the coexistence of waves and particles discovered by Einstein in 1905 in the case of light and photons."
Again so beautiful, so elegant and on hindsight, so simple.
To join a particle of mass m incorporated into a wave of velocity v of wavelength lambda, he brought into existence this exquisite equation:
lambda = h/mv
where h is the Planck's constant named after Max Plank
(6.626 x 10^-34 J.s)
So u see mon ami, physical science started with the waves of Faraday and Maxwell.
Then came the idea of particles thanks to Sir J J Thomson.
And now we are stuck with the messy wave-particle duality which I find very unnerving.
De Broglie was the first high level scientist to call for establishment of a multi national laboratory like CERN.
De Broglie never married nor reproduced.
Stay tuned to the voice of Pan narrans.
Good night mon ami and my fellow cousin ape.
5/20/2016
Bell Labs, today known as Nokia Bell Labs, is an American research and scientific development company owned by Finnish company Nokia.
It is today located in Murray Hill, New Jersey.
It was started in 1880 by the money given by the French government to Alexander Graham Bell in the form of Volta Prize (remember him?) of 50,000 francs (equivalent to 250,000 USD of the year 2005) for the invention of the telephone.
This 50,000 francs of 1880 could not have been put to any better use.
This single lab has made more contributions to science, understanding of reality and technology than all the nations of South Asia, Middle East and South Americas combined in these last 135 years.
I hope you remember my bed-time story on Arno Penzias and Robert Wilson who discovered CMB cosmic microwave background radiation, the first direct evidence of the Big Bang.
Yes Sir, it happened right here with the shoe horn antenna of the Bell Labs!
Tonight I wish to tell you about similar 2 bright young men named Clinton Davisson and Lester Germer.
Now these two young men were simply studying the surface of a piece of nickel.
Not a very attractive piece of work by any standards.
But as I said, a society should be judged by the amount of support it can give to such rare men who can do either abstract mathematics or basic fundamental useless investigations.
This is probably the single reason why I worship the American society.
I digress too much too frequently.
Let me return with the story tomorrow night.
Stay tuned to the voice of the storytelling chimpanzee.
Good night mon ami and my fellow ape.
5/21/2016
Most of us, even as "learned doctors", are not aware of Koch's postulates which are critical to linking a disease with a specific microbe.
Koch's postulates go as follows:
1. Isolation of suspected pathogen from all cases of a disease.
2. Successful culture of the pathogen in vitro (meaning on culture mediums).
3. Reinoculation of the pathogen in a host (like mice, rabbit) to cause the disease.
4. Lastly, reisolation of the pathogen from the host.
Today an important step that precedes these 4 steps is the PCR or the polymerase chain reaction.
PCR is a molecular photocopier.
The basic principle of replicating a piece of DNA using 2 primers was first described by Hargobind Khorana in 1971, an American citizen.
(His home country would not have been able to exploit his diligence and central processing abilities).
PCR however was perfected to its current form by Kary Mullis in 1983, again an American.
It is a test of an extremely high sensitivity (remember we discussed the 2 terms sensitivity and specificity with respect to the LIGO gravitational waves experiment?).
Even as low as 10 to 100 genome of a virus or bacterium can be detected by PCR.
And just as in the case of the LIGO, such a super high sensitivity can lead to lot of high false positives.
PCR is also a highly specific test.
Which means that the adenoviral genome will show up largely as an adenoviral genome and not as an Herpes Simplex Virus (HSV).
But then, it might also pick up dead colonising flora or some probable contamination.
In my own work, PCR has found great usage in the diagnosis of infectious uveitis, specially viral but also other germs like chlamydia, Toxoplasma gondii, acanthamoeba, a protozoan and many many more.
So u see mon ami, how various disciplines unite and come to join to aid us "learned doctors".
Stay tuned to the voice of Pan narrans.
We need to go back to Davisson and Germer very soon.
Good night mon ami and my fellow replicating cousin ape.
5/21/2016
I never knew Alan Turing had met all the greats of his time
Alonzo Church
von Neumann
Claude Shannon
5/22/2016
In 1921, just after the end of the horrendous first world war, after the Russian Bolshevik revolution and during the Chinese Civil War, Davisson and Germer were studying nickel surface.
At the Bell Labs.
They were directing a beam of electrons (discovered just 20 years ago) on the nickel surface and how they were bouncing off.
Let me explain this in slightly more detail.
They used a heated filament as the source of electrons which they named fancifully in the true American fashion as the electron gun.
These thermally excited electrons were then accelerated by applying a potential difference giving them a certain kinetic energy.
To avoid the collision of these electrons with other molecules, these 2 men evacuated the chamber and created a vacuum inside (just like J J Thomson had done).
To detect how the electrons were scattered, a Faraday cup electron detector that could be moved on an arc path around the nickel piece.
Davisson and Germer in their experimental historical data found that at certain angles there was a peak in the intensity of the scattered electron beam.
An accelerating voltage of 54 volts gave a definite peak at a scattering angle of 50°.
Mind you, this was not one but a series of experiments started in 1921 and continued through 1927; Six long years for just one simple stupid sounding experiment!
Such was the freedom and funding given by Mervin Kelly, the chairman of the board, to his researchers.
The scientists were given so much autonomy that the board was unaware of their progress until years after he authorized their work.
This is a kind of society I dream about which can let great minds do useless tinkering and dream abstract mathematics.
I shall get back to the Davisson Germer experiment tomorrow night.
There might be some equations to solve, so beware.
Stay tuned to the voice of the storytelling chimpanzee.
Good night mon ami and my fellow cousin ape.