https://www.indiatoday.in/science/s...could-change-maths-forever-2555611-2024-06-20
String theory is a theoretical framework in physics that attempts to describe all the fundamental forces and particles in the universe. It suggests that the basic building blocks of the universe are not point-like particles, but tiny, vibrating strings.
This new formula provides an easier way to extract pi from calculations involved in deciphering processes like the quantum scattering of high-energy particles.
The study, published in the prestigious Physical Review Letters journal, was conducted by Arnab Saha, a post-doctoral researcher, and Aninda Sinha, Professor at the Centre for High Energy Physics (CHEP).
Arnab Saha (R), a post-doctoral researcher, and Aninda Sinha (L), Professor at the Centre for High Energy Physics (CHEP).
Remarkably, under a certain limit, their new series closely matches the representation of pi suggested by the 15th-century Indian mathematician Sangamagrama Madhava, the first recorded series for pi in history.
Initially, the researchers were not aiming to find a new way to represent pi. Instead, they were studying high-energy physics in quantum theory, attempting to develop a model with fewer and more accurate parameters to understand how particles interact.
"We were excited when we got a new way to look at pi," Sinha said, explaining that their efforts were never intended to find a new representation of pi.
Sinha's group is interested in string theory, which treats all quantum processes as different vibration modes of a string. Their work focuses on understanding how high-energy particles interact, such as protons colliding in the Large Hadron Collider, and finding ways to represent these complex interactions using simple factors.
To develop an efficient model, Saha and Sinha combined two mathematical tools: the Euler-Beta Function and the Feynman Diagram. Euler-Beta functions solve problems in diverse areas of physics and engineering, while Feynman Diagrams mathematically represent the energy exchange during particle interactions and scattering.
Their findings not only provided an efficient model for explaining particle interactions but also yielded a series representation of pi. This series combines specific parameters in such a way that scientists can rapidly arrive at the value of pi, which can then be incorporated into calculations involving high-energy particle scattering.
"Physicists and mathematicians have missed this so far since they did not have the right tools," Sinha explained, noting that scientists briefly examined this line of research in the 1970s but abandoned it due to its complexity.
Although currently theoretical, Sinha highlights the potential for practical applications, drawing parallels to how Paul Dirac's work on electron motion eventually led to the discovery of the positron and the development of Positron Emission Tomography (PET) scans used in medical imaging.
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Superb new discovery by CECA scientists. They should get a Nobel Prize...:
Indian physicists untangle new pi series that could change maths forever
This new formula provides an easier way to extract pi from calculations involved in deciphering processes like the quantum scattering of high-energy particles.
In Short
- This new formula provides an easier way to extract pi
- Their work focuses on understanding how high-energy particles interact
- To develop an efficient model, Saha and Sinha combined two mathematical tools
String theory is a theoretical framework in physics that attempts to describe all the fundamental forces and particles in the universe. It suggests that the basic building blocks of the universe are not point-like particles, but tiny, vibrating strings.
This new formula provides an easier way to extract pi from calculations involved in deciphering processes like the quantum scattering of high-energy particles.
The study, published in the prestigious Physical Review Letters journal, was conducted by Arnab Saha, a post-doctoral researcher, and Aninda Sinha, Professor at the Centre for High Energy Physics (CHEP).
Arnab Saha (R), a post-doctoral researcher, and Aninda Sinha (L), Professor at the Centre for High Energy Physics (CHEP).
Remarkably, under a certain limit, their new series closely matches the representation of pi suggested by the 15th-century Indian mathematician Sangamagrama Madhava, the first recorded series for pi in history.
Initially, the researchers were not aiming to find a new way to represent pi. Instead, they were studying high-energy physics in quantum theory, attempting to develop a model with fewer and more accurate parameters to understand how particles interact.
"We were excited when we got a new way to look at pi," Sinha said, explaining that their efforts were never intended to find a new representation of pi.
Sinha's group is interested in string theory, which treats all quantum processes as different vibration modes of a string. Their work focuses on understanding how high-energy particles interact, such as protons colliding in the Large Hadron Collider, and finding ways to represent these complex interactions using simple factors.
To develop an efficient model, Saha and Sinha combined two mathematical tools: the Euler-Beta Function and the Feynman Diagram. Euler-Beta functions solve problems in diverse areas of physics and engineering, while Feynman Diagrams mathematically represent the energy exchange during particle interactions and scattering.
Their findings not only provided an efficient model for explaining particle interactions but also yielded a series representation of pi. This series combines specific parameters in such a way that scientists can rapidly arrive at the value of pi, which can then be incorporated into calculations involving high-energy particle scattering.
"Physicists and mathematicians have missed this so far since they did not have the right tools," Sinha explained, noting that scientists briefly examined this line of research in the 1970s but abandoned it due to its complexity.
Although currently theoretical, Sinha highlights the potential for practical applications, drawing parallels to how Paul Dirac's work on electron motion eventually led to the discovery of the positron and the development of Positron Emission Tomography (PET) scans used in medical imaging.
-------------------------
.
.
.
.
Superb new discovery by CECA scientists. They should get a Nobel Prize...:
