There Is No Escape With The Gaussians

This afternoon, after Dr Roland Caballar delivered a lecture to the Theory Group of Dr Eric Galapon, something was observed after sometime - there is no escape with the Gaussians. In quantum mechanics, most of the topics to be dealt with involve such kind of function. That is why if someone wants to practice research in quantum mechanics, particularly in quantum measurements, he should be able to master dealing with such functions.

Actually, I first heard of this Gaussian functions, or should I say Gaussian distributions, in my high school statistics. This function seems to be something easy to deal with because of its trend. Someone may be familiar with this Gaussian function by seeing a kind of a graph that is "mountain-shaped." It starts with low values asymptotic to the x-axis, goes up at some point until it reaches a peak in the middle, and declines ones more to values asymptotic to the x-axis.

However, one may ask why Gaussians are the ones worth more attention in quantum mechanics. Why not the Bessel functions or the other ones? Now, this may put on some interest to a curious researcher because he may always try. And who knows? He may also get something more interesting out of dealing with those functions other than the Gaussians.

These dealing with the Gaussians does apply not only in quantum mechanics. Actually, the complex system scale-free principle is also obeyed. This scale-free principle is the one that states "the rich gets richer." Gaussian functions are easy to evaluate that's why more researchers tend to deal with it than the others. However, this does not mean that there is no one left to be interested with the other functions but those interested with the others are much lesser in quantity.

Now, this Gaussian thingy also applies in life when one things seems to be easy to achieve or is very popular. If that's the case of something, everyone wants it. But, there are some things in life other than the ones easy to achieve or the ones popular. Some do try to go with those things and tell that they find something more worth enjoying with them.

Gauss Theorem of Social Status

"The surface integral of a vector is equal to the volume integral of its divergence."

Seems to hard to understand, isn't it? Actually, this is a concept in mathematical physics known as Gauss' Theorem. In more complicated terms, it is a relation of the surface integral of a vector to its divergence integrated in terms of the volume. Well, a person who knows some elementary calculus may understand this further.

At one side of equality, the vector is integrated in terms of the area. In simpler terms, it is integrated twice. However, at the other side, it is already integrated with respect to volume (or integrated thrice). But, when this theorem was derived, in order to preserve the equality with respect to the area, a divergence appeared on the side of the triple integral. And as this talk gets more complicated, does this relate to our lives?

Well, in layman's view, it does not. This only applies to the matters of the intellectuals in the physical sciences. But looking deeper, we see that it relates. Let us say that we ourselves represent the vector being integrated. From time to time, we admit that we can never stop ourselves from being integrated. But, when this integration is forced in the wrong way, the function becomes degraded. And so, trying to make one's self look superior in comparison to others just degrades his or her personality or appearance.

From this day on, this theorem just tells us to be ourselves and stay humble. And so we call this the Gauss Theorem of social status.

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By the way, congratulations to Dr. Christopher Monterola for his excellent air time. Sir, I might not have been able to here your air time last night. But as I have heard, you had a good time with Tado and the gang in discussing love and consistency in terms of gravity and relativity. The whole physics community wishes you to keep inspiring more students not only to like but also to stay in this course. Again, congratulations!

Holy Week and Easter Physics

Belief or non-belief – these are the two things that wait for an idea in the world of physics. Someone else’s idea will lead into only one of these. For example, a theory may be either proved or disproved only soon. Upon proving it, it will be entertained with queries that seem to disprove it. But in the end, the theory (and so as the other theories that follow it) is accepted because their proponent/s sacrificed a lot to prove it.

The same thing also happens in life. There exists a certain duality in the life after death – paradise or inferno. Ones destination on either of the two is judged through purity or sinfulness. If one is sinful then he ends up to the sea of fire and sulfur, where there is endless screaming and gnashing of teeth. So, this just means that everyone goes to hell in the end.

However, as said in the writings, the sinful is forgiven just because someone has made a sacrifice, and that is Jesus the Christ. And so, everyone knows that a lot of temptations may hinder us from heavenly life. But in the end, just like a system acted upon by sorts of dissipative forces, it will all be well because one pushes the struggle to make it through with an addition of our Savior’s great sacrifice.

These things can be seen through different stories. It seems that the system may not go well because there is an existing dissipative force. It seems that life gets harder from time to time because of what is going on. But, it takes just an inch to move on and it takes some faith on His great sacrifice to reach a destination.

A blessed Holy Week and Happy Easter, everyone!