BENGALURU: Accidentally, IISc Physicist Discovers a new notation which could be used in finding a series for Mathematical Constants pi — an irrational number written as “π” — while investigating how string theory Can explain physical processes.
The researchers stated that PI’s data is simpler to derive from calculations of broken processes such as quantum scattering or collision of particles of high energy physics. IISC said the study was authored by Professors Arnab Saha and Aninda Sinha, postdocs at the Centre for High Energy Physics (CHEP), and they published it in Physical Review Letters.
According to IISc, “The new formula at certain limits is very close to the representation of pi proposed by the 15th-century Indian mathematician Sangamagrama Madhava, which was the first pi series recorded in history.”
Sinha said their initial effort was never about finding a way to look at pi. They simply considered high-energy physics in quantum theory and attempted building a better model with fewer parameters to comprehend how particles interact. “We get excited when we find a new way to look at pi,” Sinha said.
Pi is expressed as series in mathematics on account of its component form. This series can therefore be called “the recipe” if P i were a food item; otherwise, Pi would be referred to as “a dish.” Pi may take many components (or parameters). The challenge has been always discover right number and combination of these parameters to help us approach quickly exact value of π.
“The series that Sinha and Saha stumbled upon combines specific parameters that allow scientists to quickly derive a value for π which can then be incorporated into calculations like those involved in decoding the scattering of high energy particles,” IISc said.
According to Sinha, until his team began working with collaborators some three years ago or so they have had no adequate tools for doing this work . This work must be done.
In the early 1970s, scientists briefly looked at this area of research but quickly gave up because it was too complex,” Sinha said. He added that although the current results are just Theoretical, but they could lead to practical applications.
Sinha noted how Paul Dirac in 1928 was studying the mathematics of electron motion and existence, but never imagined that his findings would inform the later discovery of the positron and the subsequent design of positron emission tomography (PET) clue.
Sinha added: “Doing this kind of work, while it may not have immediate application to daily life, brings about the joy of doing theory purely for the sake of doing it.”
