Ramanujan

Looking at the progression of Ramanujan’s equations, it’s as though we have been trained for years to listen to the Western music of Beethoven, and then suddenly we are exposed to another type of music, an eerily beautiful Eastern music blending harmonies and rhythms never heard before in Western music.
— Michio Kaku in his book on quantum physics and string theory, Hyperspace

Srinivasa Ramanujan (1887-1920, India) is hailed as the greatest mathematician that history has ever known. Ramanujan, grew up in a poor destitute family, in a village, and with no formal education. His only exposure to mathematics was when he was 15 years old, when he stumbled across a mathematics book by George Carr, containing 6000 theorems. He set out to verify all the theorems in the book, and went on further to derive theorems of his own. He derived a 100 years worth of mathematics on his own – having had absolutely no formal education, with his own notations and symbols.

On his last days, Ramanujan left a legacy of three notebooks containing 4,000 formulas densely packed in 400 pages and a fourth notebook of 130 scrap pages, known as the “Lost Notebook”. The mathematician Richard Askey says, “The work of that one year, while he was dying, was the equivalent of a lifetime of work for a very great mathematician. What he accomplished was unbelievable. If it were a novel, nobody would believe it.”

His legacy of works is still being mined to this day, and miraculously satisfying almost intractable equations in areas like quantum physics.

Whenever the string executes its complex motions in space-time by splitting and recombining, a large number of highly sophisticated mathematical identities must be satisfied. These are precisely the mathematical identities discovered by Ramanujan.
— Michio Kaku in his book on quantum physics and string theory, Hyperspace

I never knew of Ramanujan’s contribution to string theory until I came across it in Michio Kaku’s book (strings are the fundamental constituents of the universe — not just of matter, but the fabric of time, space, and the forces by which we and the universe exist).

Magical Genius?

Ramanujan is categorized as a “magical genius”.  One should start asking for example, how was he able to derive 100 years worth of mathematics and beyond from scratch.

Ramanujan credited his abilities to his family goddess, Namagiri, and looked to her for inspiration in his work. He said that he had visitations from the goddess Namagiri. Today’s scientists might make Namagiri a footnote, but to Ramanjan it was not. Ramanujan said: “An equation for me has no meaning unless it expresses a thought of God”

An equation for me has no meaning unless it expresses a thought of God.
– Ramanujan

Bhakti yoga has been an effective means of elevating one to higher realms of consciousness (for access to direct knowledge), and recognized as a yoga since ancient times.

How did some of the most profound mathematical findings, which would have taken even the most accomplished mathematicians today a lifetime to accomplish, fall into Ramanujan’s lap in a flash, faster than he could write them down? That too, so perfect, error-free.

How did some of the greatest Western classical music compositions, which would have taken other composers years to accomplish, fall into Beethoven’s lap, in a flash, faster than he could write them down? That too, so perfect.

Years of mathematical derivation compressed into a “flash” of inspiration. An entire musical composition compressed into a “flash” of inspiration. In both case there is time-compression. Two different scales of time (one when the mind is at human time scale, the other when the mind is operating in higher dimensions). Let’s say the musical composition is 20 minutes, Beethoven didn’t have to listen to it for 20 minutes, it came compressed in a flash, faster than he could write down.

These are the questions that Western science ignores to explore, but Hindu’s have been exploring this for ages through the science of yoga.

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