A New Formula for Pi After Thousands of Years - What's Remarkable About the "New Expression of π" Published in PRL? Ripples Spreading from String Theory to Computational Science

A New Formula for Pi After Thousands of Years - What's Remarkable About the "New Expression of π" Published in PRL? Ripples Spreading from String Theory to Computational Science

Arnab Priya Saha and Aninda Sinha from the Indian Institute of Science (IISc) have derived a new "representation (infinite series)" of the mathematical constant π. They achieved this by combining tools from string theory (Feynman diagrams) with Euler's beta function to simplify quantum field calculations. Their research is set to be published in Physical Review Letters in 2024 and has recently gained attention after being featured in Vietnamese news media. The new series includes a parameter λ and can converge to π very quickly under certain conditions. While it is related to the classical Madhava series, it is not the fastest in terms of digit calculation speed, as noted by SciAm. However, it shows promise for improving the efficiency of quantum simulations, such as high-energy scattering, and suggests extensions to other constants like the zeta function. On social media, opinions are divided between calling it "revolutionary" and questioning if it's "overhyped," while the expert community is in the process of technically evaluating it as a **“new family of fast convergence”**.