Authors :
Dr. Ismail Abbas
Volume/Issue :
Volume 6 - 2021, Issue 11 - November
Google Scholar :
http://bitly.ws/gu88
Scribd :
https://bit.ly/3ogogAw
Abstract :
Since the time of Archimedes 200 BC and up
to the present day, it is still generally accepted that the
Greek letter π (Pi) is a mathematical constant
approximately equal to 3.142 and is defined as the ratio
of the circumference of a circle to its diameter.
But it is quite mysterious how it appears in many
formulas in most fields of mathematics and physics, even
when the geometry of the considered space does not have
circular symmetry.
In fact, the statistical significance of 2 Pi is that, the
energy dissipation time rate (dU / dt) of a system
multiplied by its own parameters (absorbent area /
volume in unit values) is equal to 2 Pi times its total
energy U for any geometry.
This article, where we attach statistical physical
significance to the constant Pi other than circular
geometry, is just a small step on a long road and it is
recommended to extend it to different 3D spatial
geometries.
Since the time of Archimedes 200 BC and up
to the present day, it is still generally accepted that the
Greek letter π (Pi) is a mathematical constant
approximately equal to 3.142 and is defined as the ratio
of the circumference of a circle to its diameter.
But it is quite mysterious how it appears in many
formulas in most fields of mathematics and physics, even
when the geometry of the considered space does not have
circular symmetry.
In fact, the statistical significance of 2 Pi is that, the
energy dissipation time rate (dU / dt) of a system
multiplied by its own parameters (absorbent area /
volume in unit values) is equal to 2 Pi times its total
energy U for any geometry.
This article, where we attach statistical physical
significance to the constant Pi other than circular
geometry, is just a small step on a long road and it is
recommended to extend it to different 3D spatial
geometries.
