NEWTON'S LAW OF UNIVERSAL GRAVITATION

I now realize that I’ve already mentioned in my previous posts the law of gravity that was discovered and mathematically explained by Isaac Newton in 1650 and it’s universal because it explains the positions of all the planets in our universe and to me is the simple proof of the existence of God.

Newton discovered the Law of Gravity. But what is it? Is it as simple as, "Things tend to fall downward?" Of course people know that things fall downward, ever since there were people. Newton never mentioned being hit on the head by an apple, but he did say that he saw an apple fall. Maybe the moon was in the sky at the time, maybe not. But when Newton saw the apple fall, and thought about it, his great insight was that he saw that the same thing that caused the apple to fall (gravity) is what holds the moon in its orbit.

So this is how he put it:

Along with his laws of motion, Newton's law of gravity led directly to mathematical explanations of Galileo's falling object experiments and the Laws of Kepler concerning the motions of the planets. Newton's Law of Universal Gravitation states:

F=Gm1m2/d2

F is the force of gravity, G is a constant (the Gravitational Constant) which can be measured, m1 and m2 are the masses of the two objects (earth and apple or earth and moon, in), and “d” is the distance between them. You can see that gravity follows the famous inverse square law that many physical phenomena follow.

One consequence of all this is that everything attracts everything else with gravitational forces. The earth attracts the apple and the apple attracts the earth with the same force. The apple is the one that moves noticeably because it is so much lighter (and easier to move) than the earth. The earth and a ten pound weight are attracted to each other with a force of exactly ten pounds. In fact, that is the definition of weight, the force of gravitational attraction. Everything attracts everything, hence the "universal" in the name of Newton's law. And the law holds way out as far as telescopes can see; it is truly universal.

Einstein's General Relativity is the more recent, more accurate, law of gravity. Has Newton's law of gravity been thrown onto the trash? Is it wrong? No, it is a very valuable first approximation which is good enough for almost all purposes. And Newton's law is valuable for comparison with and understanding Einstein's version. And Einstein's version is too complicated for most purposes. In other words (mine) I believe that nature (God) gave a position of dominance to the USA and its economy that even if now out of balance the universal law of gravity is going to soon reposition in its balanced state, much like my wife and mother of my treasures will soon reposition herself where nature (and me) put her many years ago. Following Newton’s law, I’m attracted to Michele as much as she’s attracted to me and to force out of position such a delicate balance is as dangerous as the moon losing its balance of attraction with earth = disaster/end of the world.

http://www.physicsclassroom.com/class/circles/u6l3c.cfm

MORE ANCIENT ROMAN DEPTH

When I was a very little kid and lived near Como, my father worked at a plant producing Massey Ferguson tractors and I remember while visiting him to see painted on the front of a truck “Audaces fortuna iuvant” which means that the courageous are helped by luck and this is something that always came with me together with “repetita iuvant” or that repeating does good, like when you learn anything new to you, it being a game (cards?) or a sport, practice and repetition until the rules or movements become so natural that you mustn’t think of doing them with attention, they come natural to you.

I also used very much another phrase of the ancient Romans because not only it made much sense to me but also because it’s a “necessary evil” that used to go like this “ubi maior minor cessat” or, when more important events happen, less important events are disregarded.

http://en.wiktionary.org/wiki/ubi_maior_minor_cessat

In a way I’ve been applying to my life now these deep concepts as condensed in short phrases 2.000 years ago that’s about me keeping to repeat to my spouse to come back to me because her lover is minor and is going to be soon disregarded while – since I’m courageous to even think to fight my war - luck will help me win and everything will return to be in balance as nature and the law of gravity commend.

http://latinr.com/

GUTTA CAVAT LAPIDEM

Gutta cavat lapidem, non vi, sed saepe cadendo: The drop hollows out the stone by frequent dropping, not by force; constant persistence gains the end. This is how Ovid thousands of years ago defined the effectiveness of constancy and insistence when trying to obtain something, that everyone around me says it’s just a waste of my time and stupid place where to address my hopes.

Well, besides the fact that I keep hoping to overcome my TBI-produced disabilities (even if mankind still has no idea on how to repair an injured brain) I keep the same big hope to reunite with my former still beloved wife.

In this case I’ve decided to support my hopes with what Ovid wrote thousands of years ago, so I keep asking by myself and tell others to ask for me to Michele to return to live with me.

I mean, if a simple drop of water can go through s slab of marble, how could Michele keep living without me and with a piece of junk as my replacement?

Eventually she’s going to realize that in the exchange she only lost and will be willing to come back to live with me, the only man who fathered our treasures and always loves her like in the beginning.

I’m actually hopeful because I just did (again) a neuropsychological evaluation that I’m confident is going to prove that I’m still logic and mentally efficient as I used to be, my difference is just physical in the sense that I can’t control half of my body and that I lost my whole family.

http://www.youtube.com/watch?v=bbS36bI-hOg

This loss is actually what has been giving me a pain labeled by my doctors as “neurological pain” that not even the drug morphine can reduce.

Me reuniting with my family is going to be like taking a pain-killer that neither chemistry nor science can produce and I’m hoping that my “gutta” will do this. Certainly I don’t want to consider that it takes centuries of time for a drop of water to make a hole in a stone, I’ve never been patient for anything in life, if something wouldn’t happen immediately, I’d say that either I wasn’t interested anymore or it wasn’t worth my effort to have it.

In this case however I have all the rest of my life (I’m in its middle – as Alighieri wrote in his comedy) to sit here and wait, because it’s both very interesting and worth any effort for me to wait to have my family again.

MY EXPLANATION OF THE MUSIC OF J. S. BACH

I’m going to try to explain why Bach’s music compositions are so dear to me especially when plaid with a modern grand piano by G. Gould.

All the music that J. S. Bach wrote was “didactical” music he wrote for his pupils whom he had while working for the court of Saxonia in the 17th century, all of his music has titles that explain the objective of the teaching:

- Temperaments which is about the “tone” of an instrument given through plain tuning

- Counterpoint that is the construction of a full melody from beginning to end

- Fugue can be a much longer piece of music with the distinctive characteristic of the tempo being faster than the rest of the composition



In example it’s possible to recognize a counterpoint in few bars of written music because its form is about playing a “do” and after its opposite that can be both the “sol” or the “do#” or the “dob ” while a fugue can only be seen if the full composition can be looked at from its beginning to its end, because it’s just like what I explained for the counterpoint but it’s long pieces of music that become one the opposite of another, as for what temperaments means it’s more about the instrument itself than written music, a temperament is given by the technician who tunes the piano or organ or harpsichord in order to make all the notes sound “plain” to each other, as you see I wrote plain in brackets because the plain sound is a sound in tune with human capacity of distinguishing tone waves when they are heard by the human ear, someone who is deaf on one ear cannot be a tuner for any kind of instrument because one ear only cannot give the depth and brilliance of any note on any instrument, so it takes someone with good ear and years of studies and practice to become a good tuner of any instrument.

http://www.jsbach.net/

E=MC2

Victims of TBI like me are supposed to lose the logic with the ability to do math, which is why I was told that I’m unable to take care of my own money, therefore I must have someone with financial Power of Attorney looking over how I spend dimes and if I do it, I must give good reasons.

Aside from the fact that once again (for the nth time) nobody can explain to me how such disability could ever have been detected in me, now it’s my sister in Italy who “protects” me from my own financial disability.



So I’m now going to try to explain with simple math something that many say is impossible for me to do.

Einstein used what is called a "thought experiment". It’s an experiment that may be difficult or even impossible to actually perform but you can imagine it. So it goes like this.



Suppose you have a box of mass M and length L that is completely isolated from its surroundings and that is standing still. It’s known that light carries momentum equal to E/c if E is the energy associated with the light. So imagine a burst of light with energy E at one end of the box that travels to the other end. When the light leaves the one end we must have conservation of momentum so the box must be given an equal and opposite momentum M*v where v is the velocity given to the box. So we can write:

M*v = -E/c

v = -E/(M*c)

And this is the velocity of the box

After traveling for a short time t = L/c (v is much, much smaller than c), the light hits the other end of the box and gives it an impulse equal and opposite to what it gave to the box initially and the box comes to a stop. We can calculate the distance the box moved using its velocity and the time during which it was moving.


Distance = velocity * time

D = v*t = [-E/(M*c)](L/c) = -E*L/(M*c^2)

But, since this is an isolated system, you don't want to think that the box would actually move, so I postulate that the light carried with it some equivalent mass “m” such that the center of mass of the box does not move. This means that:

m*L + M*D = 0

Solve this for the ratio L/M

m*L = -M*D

L/M = -Dm

And put this into the equation for D

D = -E*L/(M*c^2) = (-E/c^2)(L/M) = (-E/c^2)(-D/m)

D = D*(E/mc^2)

Therefore E = mc^2



This is not exactly how Einstein did the experiment but it conveys its meaning. The physics are a little off but, if you get more rigorous, you will arrive at the same conclusion.

Mathematics have always been a very big passion for me, very much like piano music composition and performances, but since I’m mathematically and therefore financially disabled someone else must have complete access to the management of all my money, no matter where in the world, so I live alone (abandoned) and I spend my days watching movies on Netflix, that I’m allowed to be member of because I can give a good reason.

BEETHOVEN'S HEILIGENSTADT TESTAMENT

I’m thinking it’s worthwhile to put here what Beethoven left as his testament as it became clear to him that his life was very close to its end.

For my brothers Carl and [Johann] Beethoven

Oh you men who think or say that I am malevolent, stubborn, or misanthropic, how greatly do you wrong me? You do not know the secret cause which makes me seem that way to you. From childhood on, my heart and soul have been full of the tender feeling of goodwill, and I was ever inclined to accomplish great things. But, think that for six years now I have been hopelessly afflicted, made worse by senseless physicians, from year to year deceived with hopes of improvement, finally compelled to face the prospect of a lasting malady (whose cure will take years or, perhaps, be impossible). Though born with a fiery, active temperament, even susceptible to the diversions of society, I was soon compelled to withdraw myself, to live life alone. If at times I tried to forget all this, oh how harshly I was I flung back by the doubly sad experience of my bad hearing. Yet it was impossible for me to say to people, "Speak louder, shout, for I am deaf." Ah, how could I possibly admit an infirmity in the one sense which ought to be more perfect in me than others, a sense which I once possessed in the highest perfection, a perfection such as few in my profession enjoy or ever have enjoyed.--Oh I cannot do it; therefore forgive me when you see me draw back when I would have gladly mingled with you.

My misfortune is doubly painful to me because I am bound to be misunderstood; for me there can be no relaxation with my fellow men, no refined conversations, no mutual exchange of ideas. I must live almost alone, like one who has been banished; I can mix with society only as much as true necessity demands. If I approach near to people a hot terror seizes upon me, and I fear being exposed to the danger that my condition might be noticed. Thus it has been during the last six months which I have spent in the country. By ordering me to spare my hearing as much as possible, my intelligent doctor almost fell in with my own present frame of mind, though sometimes I ran counter to it by yielding to my desire for companionship. But what a humiliation for me when someone standing next to me heard a flute in the distance and I heard nothing, or someone standing next to me heard a flute in the distance and I heard nothing, or someone heard a shepherd singing and again I heard nothing. Such incidents drove me almost to despair; a little more of that and I would have ended me life -- it was only my art that held me back. Ah, it seemed to me impossible to leave the world until I had brought forth all that I felt was within me. So I endured this wretched existence -- truly wretched for so susceptible a body, which can be thrown by a sudden change from the best condition to the very worst. -- Patience, they say, is what I must now choose for my guide, and I have done so -- I hope my determination will remain firm to endure until it pleases the inexorable Parcae to break the thread. Perhaps I shall get better, perhaps not; I am ready. -- Forced to become a philosopher already in my twenty-eighth year, oh it is not easy, and for the artist much more difficult than for anyone else. 'Divine one, thou sees me inmost soul thou know that therein dwells the love of mankind and the desire to do good'. Oh fellow men, when at some point you read this, consider then that you have done me an injustice; someone who has had misfortune man console himself to find a similar case to his, who despite all the limitations of Nature nevertheless did everything within his powers to become accepted among worthy artists and men. 'You, my brothers Carl and [Johann], as soon as I am dead, if Dr. Schmidt is still alive, ask him in my name to describe my malady, and attach this written documentation to his account of my illness so that so far as it possible at least the world may become reconciled to me after my death".

At the same time, I declare you two to be the heirs to my small fortune (if so it can be called); divide it fairly; bear with and help each other. What injury you have done me you know was long ago forgiven. To you, brother Carl, I give special thanks for the attachment you have shown me of late. It is my wish that you may have a better and freer life than I have had. Recommend virtue to your children; it alone, not money, can make them happy. I speak from experience; this was what upheld me in time of misery. Thanks to it and to my art, I did not end my life by suicide -- Farewell and love each other -- I thank all my friends, particularly Prince Lichnowsky's and Professor Schmidt -- I would like the instruments from Prince L. to be preserved by one of you, but not to be the cause of strife between you, and as soon as they can serve you a better purpose, then sell them. How happy I shall be if can still be helpful to you in my grave -- so be it. -- With joy I hasten to meet death. -- If it comes before I have had the chance to develop all my artistic capacities, it will still be coming too soon despite my harsh fate, and I should probably wish it later -- yet even so I should be happy, for would it not free me from a state of endless suffering? -- Come when thou wilt, I shall meet thee bravely. -- Farewell and do not wholly forget me when I am dead; I deserve this from you, for during my lifetime I was thinking of you often and of ways to make you happy -- please be so.

My father has always said that death is the fairest episodes in life, it doesn’t matter how rich, powerful or famous someone is, death will come when time on earth is over, or at the right time (some say), think to Steve Jobs in example.

So the very fact that I’m still living – even if I’d prefer not to – is a clear sign that my time here is still of some value and since I’m aware of this I intend to dedicate my remaining time to my children who I consider my treasures and even if I’ll never return to be the kind of man – top manager and athlete – who I used to be, my best friend Pat told me once that if I’m still here, it’s because God has a plan for me and even if I can’t see it, it isn’t a secret (God has none), it’s in front of my eyes, I’m just not ready to see it yet. This is probably the strongest reason why I never think anymore to terminate my life of a living dead, I have too much to give to my treasures to simply bail out and leave by my own hand.