Features
Newton and the Falling Apple
by Prof. Kirthi Tennakone
Email:ktenna@yahoo.co.uk
Can someone claim an extraordinary discovery instantly on exclusive basis of an incidental happening? An archetypal example is the legend that Isaac Newton arrived at the theory of gravitation after a falling apple bonked him on the head. As succinctly pointed in The Island, editorial “Docs, politicians and shamans” 18 December 2020; the ignorant tends to think Newton was an ordinary person who had that epoch-making aha moment solely because of the shock of the apple. History tells breakthroughs have not happened that way.
There is no evidence to the effect that an idea leading to a major discovery; a theory, cure for a disease, transformative invention or any other finding had originated abruptly in the mind of a discoverer wholly as a result of an extraneous real-world event. Similarly, there exists no convincing proof that that telepathic invention of paranormal agents has provided correct disclosures or valid solutions to real problems.
The history of science points to the conclusion that the anecdote of the falling apple and Isaac Newton has been decorated by story-tellers and perhaps by Newton himself. Newton arrived at the theory of gravitation after years of unprecedented deep contemplation and hard work.
Isaac Newton and Theory of Gravitation
Isaac Newton born prematurely on Christmas day in 1642 was a physically weak child. His father died a few months earlier, when the widowed mother got married again, his grandmother adopted him. He was sent to a grammar school for few years and schooling discontinued to coach him as a farmer. Newton hated farming, quarreled with his stepfather devoting time to read and make mechanical gadgetries. His schoolmaster advised his guardians to send the boy to school again, saying he is talented. Newton ranked topmost in class, has said, he worked hard to revenge, the classmates who bullied him.
Newton was admitted to Trinity College, Cambridge, in 1661. His mentor there was Isaac Barrow – the Lucasian Professor of Mathematics. Barrow introduced the frontiers of mathematics at the time to Newton, knowing his capability. In 1665, when the College was closed because of the plague, Newton returned to his village home in Lancashire, leisurely continuing studies and exploring almost all contemporary problems in mathematics and physics.
Newton returned to Cambridge in 1666 and continued to interact with Barrow. In 1669 Barrow tendered his resignation in favor of his student, recommending Newton to the Chair he occupied – an incident unheard in the history of academia.
Astronomer Edmond Halley visits Cambridge to meet Newton: The most consequential discussion in world’s history
Discussions, whether secretive or not often lead to consequence of utmost importance. Wars, revolutions, declarations of peace and political upheavals would have been catalyzed that way.
A discourse between two individuals that changed the world forever was the meeting of the astronomer Edmond Halley and Isaac Newton in Cambridge in 1684. That discussion resulted in the publication of Principia Mathematica-the monumental work of Newton which transformed the world.
Newton, holding a prestigious chair in Cambridg, gained acclaim as an extraordinarily clever physicist and mathematician. Nevertheless, he feared the criticism of senior peers. Notably, the polymath genius Robert Hooke and did not publish things that might lead to controversy. Hooke, contemporaneously working on theory of gravitation, wrote to Newton in 1679, expressing his views on the subject. Newton never replied! Later as an influential office-bearer of the Royal Society, Hook prompted the astronomer Edmund Halley to consult Newton.
Edmond Halley keen to understand why the comet subsequently named after him reappeared every 75 years, visited Cambridge and met Newton in August 1684. Newton explained he had already solved the problem of planetary motion. According to his theory of gravitation, objects move around the sun in elliptic orbits. Halley persuaded Newton to publish his work, agreeing to meet the cost of printing.
The first edition of Newton’s Principia was launched in 1687, awakening the whole world – the birth of the age reason.
Robert Hooke reacted furiously, accusing Newton of plagiarism, referring to his 1679 communication. The acrimonious rivalry between Hooke and Newton which started in the late 1670s continued until former’s death 1703. Newton’s other major work ‘Opticks,’ which he postponed publication, because of an argument with Hooke at the Royal Societyin 1672 was sent to printers immediately after Hooke’s demise!
Newton’s arch-rival Robert Hooke wrote the Preface to Robert Knox’s Book on Sri Lanka
Unlike Newton, Robert Hooke had been a social being. He mixed with people of all ranks and wakes of life in coffee houses. Through persons encountered, Hooke got acquainted with Robert Knox, who had just returned to England after captivity in Sri Lanka and was inquisitive to learn his experience in Sri Lanka. Hooke exhibited Talipat leaves Knox carried to England at the Royal Society. He tested cannabis brought from Sri Lanka by Knox and gave a talk at the Royal Society in presence of the science stalwarts; Robert Boyle, Christopher Wren and Edmond Halley. He told society this intoxicating agent referred to as Cansa or Bangha in Ceylon; takes away memory and understanding for a time. Hook was probably first to examine psychoactive drugs scientifically.
Robert Hooke wrote the preface to the Robert Knox’s book “Historical Relations of the Island of Ceylon and the edited the text. In preface signed 1st August 1681, discusses the virtues of publishing; and state “There are but few who, though they know much, can yet be persuaded they know anything worth communicating and because the things are common and well known to them, are apt to think them so to rest of mankind; this prejudice had done much mischief “. He also commented that some avoid communicating because of the fear to be in print, while others delay it. Presumably, what Hook attempts to insinuate is: had Newton published his work on gravitation much earlier; the bitter controversy with him would not have arisen.
Story of the falling apple
Newton, in any of his writings, has not mentioned that a falling apple hinted him the law of gravitation. The story of the apple surfaced in 1752, a quarter of a century after Newton’s death. According to a biography of Newton written by his close friend William Stukely in 1752; he had visited Newton in April 1726 to interview him. While having tea in the garden, Newton pointing to apple trees there, said that he fathomed the concept of gravitational attraction 60 years ago, noticing an apple detaching from a tree and falling. The authenticity of this story as written by William Stukely remains controversial. Later the story was made sensational by saying, the apple bonked on Newton’s head.
Apart from Newton’s work, the idea of gravitational attraction had been around as evident from the published work of Robert Hook. Strangely in the same year Newton was said to have been inspired by the falling apple, Hook in a communication to the Royal Society had stated that planetary bodies mutually attract each other via gravitation. Therefore, the decoration of the apple story could have been a gimmick to cement the standing that Newton was the first to consider gravity as attraction between two objects – not Hooke.
What Newton really did was far more challenging. He demonstrated mathematically that the force attracting the apple to the earth, also keep the moon revolving around the earth and planets around the sun. Even if Robert Hook had been the first to conceive the idea of gravitational attraction, the originality of the monumental work of Newton would not be blemished. Unfortunately, Newton failed to realize this, and when he became the President of the Royal Society he did everything possible to eclipse Hooke.
Newton feared criticism, but suppressed and attacked his adversaries. Oppositely, many feared Newton because of his unmatched intellect. Newton was elected to British Parliament honouring his most distinctive social status. He spoke only once. When he raised the hand, the dumbfounded house feared, what an issue this great man is going to raise. But Newton said; please close the adjoining window, chilly wind is blowing!
Many men and women have the potential of reaching the pinnacle of a genius. It is by study, dedication and desire to find the truth and not by unfounded declarations, exaggerations or ranks they strive to achieve.
Features
Ranking public services with AI — A roadmap to reviving institutions like SriLankan Airlines
Efficacy measures an organisation’s capacity to achieve its mission and intended outcomes under planned or optimal conditions. It differs from efficiency, which focuses on achieving objectives with minimal resources, and effectiveness, which evaluates results in real-world conditions. Today, modern AI tools, using publicly available data, enable objective assessment of the efficacy of Sri Lanka’s government institutions.
Among key public bodies, the Supreme Court of Sri Lanka emerges as the most efficacious, outperforming the Department of Inland Revenue, Sri Lanka Customs, the Election Commission, and Parliament. In the financial and regulatory sector, the Central Bank of Sri Lanka (CBSL) ranks highest, ahead of the Securities and Exchange Commission, the Public Utilities Commission, the Telecommunications Regulatory Commission, the Insurance Regulatory Commission, and the Sri Lanka Standards Institution.
Among state-owned enterprises, the Sri Lanka Ports Authority (SLPA) leads in efficacy, followed by Bank of Ceylon and People’s Bank. Other institutions assessed included the State Pharmaceuticals Corporation, the National Water Supply and Drainage Board, the Ceylon Electricity Board, the Ceylon Petroleum Corporation, and the Sri Lanka Transport Board. At the lower end of the spectrum were Lanka Sathosa and Sri Lankan Airlines, highlighting a critical challenge for the national economy.
Sri Lankan Airlines, consistently ranked at the bottom, has long been a financial drain. Despite successive governments’ reform attempts, sustainable solutions remain elusive.
Globally, the most profitable airlines operate as highly integrated, technology-enabled ecosystems rather than as fragmented departments. Operations, finance, fleet management, route planning, engineering, marketing, and customer service are closely coordinated, sharing real-time data to maximise efficiency, safety, and profitability.
The challenge for Sri Lankan Airlines is structural. Its operations are fragmented, overly hierarchical, and poorly aligned. Simply replacing the CEO or senior leadership will not address these deep-seated weaknesses. What the airline needs is a cohesive, integrated organisational ecosystem that leverages technology for cross-functional planning and real-time decision-making.
The government must urgently consider restructuring Sri Lankan Airlines to encourage:
=Joint planning across operational divisions
=Data-driven, evidence-based decision-making
=Continuous cross-functional consultation
=Collaborative strategic decisions on route rationalisation, fleet renewal, partnerships, and cost management, rather than exclusive top-down mandates
Sustainable reform requires systemic change. Without modernised organisational structures, stronger accountability, and aligned incentives across divisions, financial recovery will remain out of reach. An integrated, performance-oriented model offers the most realistic path to operational efficiency and long-term viability.
Reforming loss-making institutions like Sri Lankan Airlines is not merely a matter of leadership change — it is a structural overhaul essential to ensuring these entities contribute productively to the national economy rather than remain perpetual burdens.
By Chula Goonasekera – Citizen Analyst
Features
Why Pi Day?
International Day of Mathematics falls tomorrow
The approximate value of Pi (π) is 3.14 in mathematics. Therefore, the day 14 March is celebrated as the Pi Day. In 2019, UNESCO proclaimed 14 March as the International Day of Mathematics.
Ancient Babylonians and Egyptians figured out that the circumference of a circle is slightly more than three times its diameter. But they could not come up with an exact value for this ratio although they knew that it is a constant. This constant was later named as π which is a letter in the Greek alphabet.
It was the Greek mathematician Archimedes (250 BC) who was able to find an upper bound and a lower bound for this constant. He drew a circle of diameter one unit and drew hexagons inside and outside the circle such that the sides of each hexagon touch the sides of the circle. In mathematics the circle passing through all vertices of a polygon is called a ‘circumcircle’ and the largest circle that fits inside a polygon tangent to all its sides is called an ‘incircle’. The total length of the smaller hexagon then becomes the lower bound of π and the length of the hexagon outside the circle is the upper bound. He realised that by increasing the number of sides of the polygon can make the bounds get closer to the value of Pi and increased the number of sides to 12,24,48 and 60. He argued that by increasing the number of sides will ultimately result in obtaining the original circle, thereby laying the foundation for the theory of limits. He ended up with the lower bound as 22/7 and the upper bound 223/71. He could not continue his research as his hometown Syracuse was invaded by Romans and was killed by one of the soldiers. His last words were ‘do not disturb my circles’, perhaps a reference to his continuing efforts to find the value of π to a greater accuracy.
Archimedes can be considered as the father of geometry. His contributions revolutionised geometry and his methods anticipated integral calculus. He invented the pulley and the hydraulic screw for drawing water from a well. He also discovered the law of hydrostatics. He formulated the law of levers which states that a smaller weight placed farther from a pivot can balance a much heavier weight closer to it. He famously said “Give me a lever long enough and a place to stand and I will move the earth”.
Mathematicians have found many expressions for π as a sum of infinite series that converge to its value. One such famous series is the Leibniz Series found in 1674 by the German mathematician Gottfried Leibniz, which is given below.
π = 4 ( 1 – 1/3 + 1/5 – 1/7 + 1/9 – ………….)
The Indian mathematical genius Ramanujan came up with a magnificent formula in 1910. The short form of the formula is as follows.
π = 9801/(1103 √8)
For practical applications an approximation is sufficient. Even NASA uses only the approximation 3.141592653589793 for its interplanetary navigation calculations.
It is not just an interesting and curious number. It is used for calculations in navigation, encryption, space exploration, video game development and even in medicine. As π is fundamental to spherical geometry, it is at the heart of positioning systems in GPS navigations. It also contributes significantly to cybersecurity. As it is an irrational number it is an excellent foundation for generating randomness required in encryption and securing communications. In the medical field, it helps to calculate blood flow rates and pressure differentials. In diagnostic tools such as CT scans and MRI, pi is an important component in mathematical algorithms and signal processing techniques.
This elegant, never-ending number demonstrates how mathematics transforms into practical applications that shape our world. The possibilities of what it can do are infinite as the number itself. It has become a symbol of beauty and complexity in mathematics. “It matters little who first arrives at an idea, rather what is significant is how far that idea can go.” said Sophie Germain.
Mathematics fans are intrigued by this irrational number and attempt to calculate it as far as they can. In March 2022, Emma Haruka Iwao of Japan calculated it to 100 trillion decimal places in Google Cloud. It had taken 157 days. The Guinness World Record for reciting the number from memory is held by Rajveer Meena of India for 70000 decimal places over 10 hours.
Happy Pi Day!
The author is a senior examiner of the International Baccalaureate in the UK and an educational consultant at the Overseas School of Colombo.
by R N A de Silva
Features
Sheer rise of Realpolitik making the world see the brink
The recent humanly costly torpedoing of an Iranian naval vessel in Sri Lanka’s Exclusive Economic Zone by a US submarine has raised a number of issues of great importance to international political discourse and law that call for elucidation. It is best that enlightened commentary is brought to bear in such discussions because at present misleading and uninformed speculation on questions arising from the incident are being aired by particularly jingoistic politicians of Sri Lanka’s South which could prove deleterious.
As matters stand, there seems to be no credible evidence that the Indian state was aware of the impending torpedoing of the Iranian vessel but these acerbic-tongued politicians of Sri Lanka’s South would have the local public believe that the tragedy was triggered with India’s connivance. Likewise, India is accused of ‘embroiling’ Sri Lanka in the incident on account of seemingly having prior knowledge of it and not warning Sri Lanka about the impending disaster.
It is plain that a process is once again afoot to raise anti-India hysteria in Sri Lanka. An obligation is cast on the Sri Lankan government to ensure that incendiary speculation of the above kind is defeated and India-Sri Lanka relations are prevented from being in any way harmed. Proactive measures are needed by the Sri Lankan government and well meaning quarters to ensure that public discourse in such matters have a factual and rational basis. ‘Knowledge gaps’ could prove hazardous.
Meanwhile, there could be no doubt that Sri Lanka’s sovereignty was violated by the US because the sinking of the Iranian vessel took place in Sri Lanka’s Exclusive Economic Zone. While there is no international decrying of the incident, and this is to be regretted, Sri Lanka’s helplessness and small player status would enable the US to ‘get away with it’.
Could anything be done by the international community to hold the US to account over the act of lawlessness in question? None is the answer at present. This is because in the current ‘Global Disorder’ major powers could commit the gravest international irregularities with impunity. As the threadbare cliché declares, ‘Might is Right’….. or so it seems.
Unfortunately, the UN could only merely verbally denounce any violations of International Law by the world’s foremost powers. It cannot use countervailing force against violators of the law, for example, on account of the divided nature of the UN Security Council, whose permanent members have shown incapability of seeing eye-to-eye on grave matters relating to International Law and order over the decades.
The foregoing considerations could force the conclusion on uncritical sections that Political Realism or Realpolitik has won out in the end. A basic premise of the school of thought known as Political Realism is that power or force wielded by states and international actors determine the shape, direction and substance of international relations. This school stands in marked contrast to political idealists who essentially proclaim that moral norms and values determine the nature of local and international politics.
While, British political scientist Thomas Hobbes, for instance, was a proponent of Political Realism, political idealism has its roots in the teachings of Socrates, Plato and latterly Friedrich Hegel of Germany, to name just few such notables.
On the face of it, therefore, there is no getting way from the conclusion that coercive force is the deciding factor in international politics. If this were not so, US President Donald Trump in collaboration with Israeli Rightist Premier Benjamin Natanyahu could not have wielded the ‘big stick’, so to speak, on Iran, killed its Supreme Head of State, terrorized the Iranian public and gone ‘scot-free’. That is, currently, the US’ impunity seems to be limitless.
Moreover, the evidence is that the Western bloc is reuniting in the face of Iran’s threats to stymie the flow of oil from West Asia to the rest of the world. The recent G7 summit witnessed a coming together of the foremost powers of the global North to ensure that the West does not suffer grave negative consequences from any future blocking of western oil supplies.
Meanwhile, Israel is having a ‘free run’ of the Middle East, so to speak, picking out perceived adversarial powers, such as Lebanon, and militarily neutralizing them; once again with impunity. On the other hand, Iran has been bringing under assault, with no questions asked, Gulf states that are seen as allying with the US and Israel. West Asia is facing a compounded crisis and International Law seems to be helplessly silent.
Wittingly or unwittingly, matters at the heart of International Law and peace are being obfuscated by some pro-Trump administration commentators meanwhile. For example, retired US Navy Captain Brent Sadler has cited Article 51 of the UN Charter, which provides for the right to self or collective self-defence of UN member states in the face of armed attacks, as justifying the US sinking of the Iranian vessel (See page 2 of The Island of March 10, 2026). But the Article makes it clear that such measures could be resorted to by UN members only ‘ if an armed attack occurs’ against them and under no other circumstances. But no such thing happened in the incident in question and the US acted under a sheer threat perception.
Clearly, the US has violated the Article through its action and has once again demonstrated its tendency to arbitrarily use military might. The general drift of Sadler’s thinking is that in the face of pressing national priorities, obligations of a state under International Law could be side-stepped. This is a sure recipe for international anarchy because in such a policy environment states could pursue their national interests, irrespective of their merits, disregarding in the process their obligations towards the international community.
Moreover, Article 51 repeatedly reiterates the authority of the UN Security Council and the obligation of those states that act in self-defence to report to the Council and be guided by it. Sadler, therefore, could be said to have cited the Article very selectively, whereas, right along member states’ commitments to the UNSC are stressed.
However, it is beyond doubt that international anarchy has strengthened its grip over the world. While the US set destabilizing precedents after the crumbling of the Cold War that paved the way for the current anarchic situation, Russia further aggravated these degenerative trends through its invasion of Ukraine. Stepping back from anarchy has thus emerged as the prime challenge for the world community.
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