Here is a new PI formula. And it pushes the scientific boundaries.

That’s what you will find out after reading this story:

  • By creating a simpler particle interaction model, scientists made a sleek new PI.

  • PI representations help scientists use values ​​close to real life without protecting a million digits.

  • The creation of the new PI was associated with a series that is a structured set of terms that blends into one expression or different.


Physicists now use the principles of Quantum Mechanics to create a new model of the abstract PI concept. Or rather, they created a new model that happens incorporated Great new pi image. But what does that mean and why do we need different PI representations?

Because quantum mechanics look at the smallest particles, one by one, even simple questions, can be complex answers that require a huge calculation power. High -tech video games and movies Avatar May take days or more, and it is still not at the level of reality. In this work published in The Receer Reviewed magazine Physical review lettersPhysicists Arnab Priya Saha and Aninda Sinha describe their new version of the quantum model, which reduces complexity but maintains accuracy.

This is called optimization. Think about how an early online video, buffer in pieces of similar colors, or how classic animators painted static bodies with individual moving parts at the top. Heck, think about how people cut the corners of the square footpaths until they create a dirt road link. We surround optimization and optimization.

As detailed in their document, Saha and Sinha combined two existing mathematics and science ideas: particle scattering Feynman’s chart and Euler Beta function to scatter in string theory. What results are the series – what mathematics depicts the Greek letter σ, surrounded by parameters.

The series may summarize general equations or expressions, but they are not required. And while some of the series are different – the deadlines continue to change from each other – others get closer to one approximate, specific result. That’s where the pi comes. The PI digits extends to infinity, and the PI is also an irrational number, which means that it cannot actually be represented by a healthy part (what we often learn at school, 22/7, up to 2024 standards is not very accurate).

But it can be a series quite quickly and well. This is because the series can continue to make values ​​well into the smallest digits. If a mathematician constitutes a series terms, they can use the resulting abstraction to perform mathematics that is impossible when the PI approximate, which is interrupted by a 10 -digit standard table calculator. The complex approximation enables the work of nanoscopic particles, which primarily encouraged these scientists.

“In the early 1970s,” said Sinha in the Indian Institute of Science, “scientists briefly investigated this research line, but quickly refused because it was too complicated.”

However, such a math analysis has been a long way since the 1970s. Today, Sinha and Saha can analyze the existing model and redesign it within the changed terms. They can create a sequence and see that it is closer to the PI value too much than expected, making it easier for scientists to run the series and then use it for further work.

All of this requires decades of fundamental work and large bodies of work showing that certain mathematical movements work where others are not. This is a comment on the nature of the theory of mathematics theory, even when the results are a working model that can help scientists. Our ability has increased meaningfully with our ability to solve complex problems directly.

“During such work, although it may not see direct application in everyday life, it gives you a pure pleasure to do theory to do it,” the Sinha said in a statement.

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