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The Hindu
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Varahasimhan

Celebrating Einstein’s century

Albert Einstein. File (Source: AP)

In 1921, the Nobel Prize Committee requested two Nobel Prize winners, Allvar Gullstrand and Svante Arrhenius, to evaluate if Albert Einstein should be awarded the Nobel Prize. They concluded that Einstein would have to wait and the Nobel Committee decided not to award the Prize to anyone in 1921. Opinions changed in a year and when Einstein did receive the 1921 Prize in 1922, it was not for his theories of relativity but for “his services to Theoretical Physics, and especially for his discovery of the law of the photoelectric effect”. The citation harked back to the revolutionary theories that Einstein had established in 1905. ‘Annus Mirabilis’, or the Year of Miracles, is how 1905 is remembered by physicists because Einstein, only 26 then, published four remarkable papers that year. One of them explained that light was made of photons and when light shone on metal, each photon’s energy correlated to electron’s speed on the metal’s surface. This theory redefined the composition of light and Einstein himself dubbed it revolutionary. It was for this that he received the Nobel Prize.

Special theory of relativity

Einstein propounded theories of relativity. The special theory of relativity was published in 1905. The questions that necessitated research on relativity were deceptively simple. Ever since the pre-Newtonian days of Galileo, it was known that motion was relative. For example, if two bicycles ride in opposite directions, the speed of the second observed from the first is the sum of the speeds. James Maxwell had established that light was an electromagnetic wave and the value of its speed was calculated. Building on this, Einstein understood that while moving from one frame of reference to another, which is moving at a different speed, the speed of light remains a constant. He gave a physical interpretation to the equations governing the transformation from one frame to another based on this fact.

So, how does light’s velocity stay constant? Einstein’s theory establishes that time moves slower within a moving body when measured from a point at rest (but moves normally within the moving body itself) and the length of the moving body contracts when measured from an outside point at rest. When a moving body emits light, the length contraction and time slowdown of the moving body are just exactly what are needed to restore the speed of light to its constant value.

Einstein’s insight was that there was no absolute time because time was measured by the simultaneity of two events and this simultaneity would be observed differently, say, within a moving train versus from a railway platform. As lagniappe to the scientific community, Einstein published his famous mass-energy equivalence E=mc2 in late 1905. A mundane example of the application of the special theory of relativity is the use of GPS on our phones: satellites account for time differences in their clocks due to their high speed and their positions away from earth’s gravity and then calculate the geo-location.

General theory of relativity

From 1907, in bouts of scientific creativity, Einstein sought to generalise the special theory of relativity. Put simply, how does gravitational force act instantaneously between massive stars and planets that are millions of miles away? His research led him to geometry of curved spaces and multi-dimensional geometry that Bernhard Riemann had pioneered in the 19th century. With some help from his mathematician friend Marcel Grossmann, Einstein worked out equations using tensors, the mathematical implement to describe transformation of different dimensions. In November 1915, Einstein completed the general theory of relativity.

As per this theory, space and time form a continuum, like a fabric, and every object in the universe distorts this fabric, much like how dropping a large ball distorts a taut trampoline sheet. This distortion is gravity. It produces two effects. One, the fabric causes any other object in the vicinity to move towards the heavier object and this is why gravity causes an object to pull things towards it. Two, it bends light in the process of attracting it. This bending of light was what was observed as experimental verification of the theory, in 1919, by the English astrophysicist, Arthur Eddington. The theory is general enough to apply to all forms of motion, including those where gravity does not appear. Under specific simplifying conditions, the equations matched Newton’s laws. The Nobel Laureate S. Chandrasekhar said that “it is probably the most beautiful of all existing theories”.

In just two decades, Einstein led physics out of its traditional moorings, laid the entablature of modern physics on Newtonian and Maxwellian pillars of classical physics and opened it up to newer questions.

Varahasimhan is a history of science enthusiast based in Chennai

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