Scientists find completely new Pi formula after thousands of years

Scientists have discovered a new formula that can represent Pi more accurately and efficiently, opening up new directions in research on quantum mechanics, particle physics and complex scientific simulations.

The number Pi (π) has long been considered one of the most important mathematical constants, representing the ratio between the circumference and diameter of a circle - Photo: AI

Pi (π) is an irrational number, having an infinite number of decimal places and not being able to be represented exactly as a fraction. It was used by the ancient Babylonians and Greeks over 4,000 years ago. The Babylonians estimated Pi to be approximately 3.125, while Greeks such as Archimedes used geometric methods to estimate Pi to be in the range 3.140845 < π < 3.142857.

In everyday computing, we often use approximate values ​​like 3.14159 or 22/7, but these numbers are not precise enough for modern problems, especially in quantum mechanics and elementary particle simulations.

The formula for calculating Pi was first published in the journal Physical Review Letters in 2024, but only recently has it received widespread attention and discussion from the international scientific community.

In the study, physicists Arnab Priya Saha and Aninda Sinha from the Indian Institute of Science developed a new quantum model to optimize the simulation of interactions between particles. Surprisingly, in the process of building the model, they discovered a completely new Pi formula. This formula allows for more accurate calculations with fewer steps, significantly reducing the amount of data processing.

Saha and Sinha combined Feynman diagrams, a mathematical tool that describes how particles interact and scatter, with the Euler beta function, which is used in string theory. The result is a special mathematical sequence that converges very quickly to the value of Pi, making calculations much faster than previous methods.

In other words, scientists can now calculate the value of Pi with extremely high precision without having to store millions of digits.

In quantum mechanics, simulating the interactions between tiny particles requires supercomputers and vast amounts of data. The new Pi formula optimizes this process, reducing the number of calculation steps while maintaining a high level of accuracy. It is a classic example of scientific optimization: achieving the same result with fewer resources.

This is especially important in fields such as particle physics, cosmological simulations, artificial intelligence and quantum materials. The new Pi formula allows scientists to process data faster, reducing computational costs and opening up the possibility of studying phenomena that were previously nearly impossible to accurately simulate.

According to Dr. Aninda Sinha, this research direction was proposed in the 1970s but abandoned because the calculation was too complicated. Thanks to the development of modern computing technology and advanced mathematics, the research team has proven that the new model converges faster than expected, making the calculation of Pi more feasible than ever.

While the new Pi formula does not yet have direct applications in everyday life, it is an important step forward for fundamental science. This research not only expands our understanding of Pi, but also shows the potential to speed up quantum models and solve complex problems in the future.

As Dr Sinha shares: "This is the pure joy of theoretical science. Although it does not have immediate applications, it opens new doors for knowledge and research."

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MINH HAI

Source: https://tuoitre.vn/cac-nha-khoa-hoc-tim-ra-cong-thuc-pi-hoan-toan-moi-sau-hang-ngan-nam-20250910091916157.htm