Tuesday, April 30, 2013

Everything Has A Center | Goodwill Theory

One of the things which I am not ashamed of accepting is that I am not much fond of studying or attend classes either. Reason: they are boring. If they are made more interactive and participative, that would somehow interest me. But, that's another thing.

What I am writing here is just about an another day in college. Third lecture was Antenna & Radar Engineering (ARE) - which surprisingly I liked over the rest and that too probably because of our professor. He makes the class interactive and studying fun while emphasizing more on the learning approach of teaching. And that day, we were to study dipole antenna. The professor drew an antenna electromagnetic field region on the white board. It looked something like this:

Dipole Antenna EM Field Regions

When he was done drawing the diagram, he said pointing at the middle of the circle, "This is the center." To be honest, I wasn't paying enough attention to what he was saying but that phrase struck me - I stopped for a moment, gave it a second and thought over it. I thought it wasn't just that field region drawn there that has a center.

For the next few days, I was thinking: how come only a circle has a center. Thinking in the classroom, while surfing, while eating, while walking... and I kept thinking about it all the time. And, I came to conclude that not only a circle, but other arguable geometrical shapes also have a center. For examples:
  • A Circle: Has a center.
  • Straight Line: The midpoint of a straight line is its center.
  • An Arrow: Center towards where its head is directed.
  • Triangle: Centroid, Incenter and Orthocenter are different centers of a triangle.
  • Different Line Segments: Any random line can be differentiated at different points of time and in each case the segments represent basic geometrical shapes having their own centers.
  • Random Shapes: Take any random shape. Take differential lengths. At each curve, each length can be seen as a geometrical segment and has a center of its own. For example, a serpentine line. It will have semi-circles with centers followed by straight lines having midpoints and then at last an arrow. Hence, at each point and segment there is a center.

Postulate #1: At any point of time any considerable object has a center.

However, that's not just it. This can be fairly extended to other phenomena of the universe as well, be it the nearest or the farthest, the smallest or the largest, living or non-living:
  • An Atom: Has nucleus as its center, a very dense region consisting of protons and neutrons at the center of an atom.
  • Physical Forces: Forces like centripetal and centrifugal force has a center around a curvature.
  • Gravitational Pull: Masses are pulled by the Gravitational Force towards the center of gravity.
  • The Earth: The inner core of the earth is approximately 1,220 km (760 mi) from the surface and primarily consists of iron-nickel alloy, temperature nearly comparable to the Sun - 5430 °C!
  • Any Quantifiable Mass: Every object has a center of mass.
  • Solar System: Our own solar system also has a center - The Sun.
  • Galaxies: The Galactic Center is the rotational center of the Milky Way galaxy, located at a distance of ~27,000 ± 1,000 light-years from the Earth! The existence of a supermassive black hole at the Galactic Center of the Milky Way is strongly believed.
  • Love: We all experience love. And in this case, the center is the person we love - our loved ones. The whole emotional and psychological behavior shifts towards this center.
  • And Whatever You Are Doing: Yes! Whatever you do, you always have a center and that depends on your focus - where you are focusing at that moment. The center would be then, the thing/work you are focusing on. Even if you redefine your goals or change decisions or take different paths in life, you will always have a center. What is yours at this moment?

Postulate #2: Everything has a center.

This theory is called Goodwill Theory ; named after the professor whom we were talking about - who made me think about the centers. Thus, based on these two postulates, Goodwill Theory states that : "At any point of time every considerable object or thing has a center."

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