In January 2024, physicists Arnab Priya Saha and Aninda Sinha at the Indian Institute of Science discovered a new formula for calculating pi while studying string theory interactions¹. Their research, published in Physical Review Letters, presents a series representation that converges much faster than historical methods - requiring only 30 terms to reach 10 decimal places, compared to 5 billion terms needed for the 15th century Madhava series¹².

The formula emerged unexpectedly while the researchers were developing models to understand quantum particle scattering using string theory, which treats fundamental particles as tiny vibrating strings¹. "Our efforts, initially, were never to find a way to look at pi," said Sinha. "We were excited when we got a new way to look at pi."³

The discovery has sparked debate in the mathematics community. While some highlight its theoretical significance, others like mathematician Peter Woit argue the findings have been over-hyped in media coverage⁴. The formula's key innovation is a free parameter λ that allows for infinitely many representations of pi, with Madhava's historical series emerging as a special case when λ approaches infinity¹.

Footnotes

1. Scientific American - String Theorists Accidentally Find a New Formula for Pi ↩ ↩² ↩³ ↩⁴

2. Physical Review Letters - Field theory expansions of string theory amplitudes ↩

3. IISc - IISc Physicists Find a New Way to Look at Mathematics' Pi ↩

4. Columbia Math - Latest Breakthrough From String Theory ↩