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I have read about symmetries. Johnine's Foucault's Pendulum is the one to blame for this information hunger of mine. She mentioned about symmetries and I immediately browse inside the lobes of my brain what I know about symmetry. I am talking about symmetry in physics in particular. As far as I remember, I already encountered the word 'symmetry' when I was reading String Theory. Blah Blah Blah.
There are so many kinds of symmetry. There are symmetries in different branches of knowledge. But let's discuss a more familiar one to us: symmetry in physics. Well, there is symmetry in a physical system (since we are talking of physics here) when certain features are "preserved" or remain the same under some changes. For more formal discussion on this you can just search the net.
What I am trying to accomplish here is to present the beauty of symmetry based on my point of view.
Symmetry is a very important assertion and currently one of the foundations of highly remarkable researches. An application of this is the formulation of the hypothesis that anti-matter exists. This is of course very simple and is quite inclined on the philosophical nature of the law of symmetry. But a more concrete example of symmetry is symmetry in space time. An example of which is when an object with mass m is placed at a certain height H, its potential energy is given by mgH. For as long as the object's mass and height is constant, at any given time t the potential energy is unchanged or preserved. A thermometer wherever you place inside a room with maximum entropy(will be discussed later) will read the same temperature. The first example falls under time translation while the second one is categorized as space translation.
Symmetry is used as an assertion that something has its constituent pair. Symmetry is used to predict the existence of antiparticle such as anti-proton.
Mathematical equations transform to obey the law of symmetry. An example is the Lorentz Transformation Factor which is added on existing equation that we use in simple cases to find quantities such as velocity or time for fast-moving objects (close to the speed of light). The said transformation factor is needed since one assumption of Newton's Laws of Motion is for the objects not to move close at the speed of light. But in cases where objects move very very fast, simple equations must transform.
It is quite abstract but symmetry is really necessary.
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I have read about symmetries. Johnine's Foucault's Pendulum is the one to blame for this information hunger of mine. She mentioned about symmetries and I immediately browse inside the lobes of my brain what I know about symmetry. I am talking about symmetry in physics in particular. As far as I remember, I already encountered the word 'symmetry' when I was reading String Theory. Blah Blah Blah.
There are so many kinds of symmetry. There are symmetries in different branches of knowledge. But let's discuss a more familiar one to us: symmetry in physics. Well, there is symmetry in a physical system (since we are talking of physics here) when certain features are "preserved" or remain the same under some changes. For more formal discussion on this you can just search the net.
What I am trying to accomplish here is to present the beauty of symmetry based on my point of view.
Symmetry is a very important assertion and currently one of the foundations of highly remarkable researches. An application of this is the formulation of the hypothesis that anti-matter exists. This is of course very simple and is quite inclined on the philosophical nature of the law of symmetry. But a more concrete example of symmetry is symmetry in space time. An example of which is when an object with mass m is placed at a certain height H, its potential energy is given by mgH. For as long as the object's mass and height is constant, at any given time t the potential energy is unchanged or preserved. A thermometer wherever you place inside a room with maximum entropy(will be discussed later) will read the same temperature. The first example falls under time translation while the second one is categorized as space translation.
Symmetry is used as an assertion that something has its constituent pair. Symmetry is used to predict the existence of antiparticle such as anti-proton.
Mathematical equations transform to obey the law of symmetry. An example is the Lorentz Transformation Factor which is added on existing equation that we use in simple cases to find quantities such as velocity or time for fast-moving objects (close to the speed of light). The said transformation factor is needed since one assumption of Newton's Laws of Motion is for the objects not to move close at the speed of light. But in cases where objects move very very fast, simple equations must transform.
It is quite abstract but symmetry is really necessary.
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