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Conservation Of Information

Posted by Roaring Lovely on May 20, 2015 at 1:00pm
"In the beginning God created the heavens and the earth. Now the earth was formless and empty. Darkness was over the surface of the deep. The spirit of God was hovering upon the waters.Then the Lord said 'let there be light' and there was light. God saw that the light was good" Genesis 1:1-3"Heavens and earth will pass away but my words will last forever" Mathew 24:35So the bible writers have given us their opinions; information is firmer than objects, or at least as firm as them! Let us exermine physics to see if information is as conserved as matter or energy. The law of conservation of information is barrowing its way in physics into becoming on the same par with the law of conservation of energy, matter, momentum etc. What physicists don't seem to realise though is the implication of such a law. For instance, information is 'something' associated with the mind.To warm the floor, let us begine by close exermining Heisenberg's Uncertainity Principle. It clearly says that the ignorance of both location and momentum of a particle amounts to a constant! That is to say the more I get the information about the position of a particle, the less I get the information about its momentum and vice-versa is true! So If I see the data bank of the univers as to contain some unified information I can term it momentum-position information, when I fetch position information, it remains less as the momentum information! The quantum eraser experiment shows that if I return the position information ,(i.e I nolonger know of the position) the bank increas (i.e I begine to know more of the momentum)! So information here is clearly as conserved as energy because gaining the information about the momentum comes in the expense of loosing the information about the position!Now I like seeing quantum system as just the usual thermodynamic system albeit with the violation of the second law. But to violate the second law, all we need is information. This has been well expressed by the so called Maxwell's demon said to be able to bring about the violation of the second law by detailed monitering how the tiny, jiggling balls are moving. The Maxwell's demon says, give me the information about the jigling balls and with time, I will reduce the entropy of the system!A quantum system effectively violates the second law! A magnon might illustrat this one well. Lets say there is an ocean made of exeedingly tiny mangets that are all aligned in one direction. So there will be a strong magnetic field in such an ocean. Now, if you rotate one of those tiny magnets around, you will thus add energy to the system. In the usual thermodynamic system, such added in energy would quickly disipate as heat while the resultant rotated tiny magnet gets re aligned. But in a quantum system, the energy remains in the system. It is called a magnon. A magnon here would be a reversal of a single magnet that propagates wavelike around the system! Nothing solide is moving. So the best way of describing it is that the memory of the reversal is retained in the system. The ocean does not forget the magnon. The magnon itself is not anything solid, it is just the reversal of a magnet. It is pure information! Same reasoning can be used to explain photons, electrons, phonons and all other 'ons'You might be tempted to think that thus conservation of information is circumscribed only to quantum world. But in classic world, we can say that information, like energy is transformed but never lost. Physicists often say that when you burn a book, all the information is never lost. It get encoded in the manner in which the smocke is moving! It just become difficult to read the book in the smock but it is still there! This makes alot of sense because as much as the heat affects the book, the heat itself is similarly affected by the book (the law of equal action and reaction). If you burn a book written in it such and such and you burn another one written in it this and that, if you have all the detailed knowledge of how every particle was moving prior to burning the book, call it state A. If you close exermine all the knowlege about how all the particles are moving after the book written in it such and such is burnt, call it state B, then once again return to state A and burn the second book written in it this and that and then get all the knowledge of how the particles are moving, call it state C, you will surely find that state C is not the same as state A. The difference encodes how the writtings are different in both books!Another way of putting what I am saying is this way: suppose you look at the book through an exceedingly rough piece of glass. I bet you wount see anything. But then lets say we wave a magic wand and we distort the writtings in a book to look like it were when you try to read it through the rough glass. You might think that we have destroyed the information. But then if you were looking through the glass and unable to read the book, it is all because you are simply ignorant of the detailed topology of the glass. If you were to study it in details and then learn about the exact way it deflect light, you can in principle constract a similarly rough glass that redeflects back the light and makes the readings once again visible. If you use this latter glass on a similarly distorted book, it rectifies it. So we say the information was never destroyed in the distortion. It was rather encoded and the seemingly chaotically rough glass is an effective decoder.THE QUANTUM ERASER EXPERIMENTAn amazing experiment has been done by physicists. In double slit experiment, we know that any detection that might tell us which slit the particle passed will destroy the inteferance pattern. Physicists seem to have wanted to test if nature truely know of information. They put light polarizes across both slits so that light passing through one slit is circularly polarized in clockwise direction and light passing through the other slit is circularly polarized in the other direction. They would then know which slit the photo passed through by observing how it is polarized. Sure enough, the interference pattern got destroyed. Then they placed some other polarizes after the photons have passed through the first. The second polarisers destroy the first polarization making it impossible to tell which way the photon passed. In otherwords, the second polarizer erases the which way information. Sure enough, the interferance pattern re emerge! But how did the interferance got formed if there wasn't such on the way? It clearly shows that though we may not be able to read inteferance pattern, the information was there hiding in an encoded way.The law of conservation of information have great implication concerning our origin and our destiny. The information say in your DNA was always there in the universe. It was either in some mind or even if we evolved, evolution would be seen not as natural forming of information but as a nartural search for information. It is all already there in some natural 'books' perharps floating in the air. Similarly the law implies that we are immortal! Narture can never forget anything; including you!
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