X-Message-Number: 21744 From: Date: Sun, 11 May 2003 12:50:23 EDT Subject: Copies --part1_67.106639ba.2befd94f_boundary Content-Type: text/plain; charset="US-ASCII" Content-Transfer-Encoding: 7bit It seems there is an interest here for the copy subject. Can a copy being equal to the original, and so on. here is a special kind of copy: The quantum one. In the end, all sysems are quantum ones, so it seems a quantum copy woud be as good as the original. There is only a problem: the quantum theory teaches us that it is impossible to copy a quantum system. this is particularly well illustrated in the teleportation process: A quantum system can be moved from a place to another without any intermediate state or intermediate position. But there is no way to have the system at point B and keep it at point A. Well entanglement allows to have a system with a given probability at A and the complementary probability at B but there can't be a full presence at both A and B at the same time. That is true for a quantification, now if there was many quantifications, it could be possible to tunnel between them and have one copy in each quantification. H. Miyazaki and I. Tsutsui (arXiv:quant-ph/0202037 on xxx.lanl.gov) have demonstrated that a harmonic oscillator (the prototype of all wave-like systems such quantum ones) with quadratic term and scale factor g working on a domain extending from negative to positive values has a U(2) symetry of quantifications. Said that way, it seems rather dry and the paper is not for faint heart. Here I'll try to debug it for nonmathematical speakers: Think of U(2) symetry as a kind of sphere with 4 mutually perpendicular axis. each axis is described by one of the so-called Pauli's matrix, one of them is the identity and defines "ordinary" (first) quantification. The other are liked to so called catastrophes or caustics: The kind of things you can see at the bottom of a swiming pool on a sunny day. You can think of caustics as a space breaking. For some value of the scalar parameter g, the quantum domain is no more limited to the identity matrix. So here is the possibility to tunnel on a caustics other side and get to one of an infinite set of new quantifications. That would not destroy the original because no copy is created in its own quantification. The Miyazaki-Tsutsui formalism can be used in many settings. One is particularly interesting for cryonics: An intensity interferometer is a technological realization of a quadratic harmonic oscillator. An even number of entangled particles has a negative space domain: The entangled wave is in positive space but each component can as well being in positive or negative space, that is because the square of a negative quantity is a positive one. g is a scalar, in the I.I. setting, it can be seen as the quotient of the observing by the physical wavelenght. G is bounded by an inverse mass-energy parameter m. Here, m is linked to the entanglement level. If a brain scanner using the intensity interferometer technology was produced, it would be a relatively small step to turn a similar machine into a quantum copying system. Any processing could be done on the copy and the result could be copied back in the initial quantification. This is what I had called "black magic". Now you know: B.M. may be implemented by I.I. using M.T. quantifications. Yvan Bozzonetti. --part1_67.106639ba.2befd94f_boundary Content-Type: text/html; charset="US-ASCII" [ AUTOMATICALLY SKIPPING HTML ENCODING! ] Rate This Message: http://www.cryonet.org/cgi-bin/rate.cgi?msg=21744