X-Message-Number: 14147
Date: Sun, 23 Jul 2000 07:46:46 EDT
Subject: Re: Msg# 14128,  continuity, distinguishability etc

Re:  continuity, distinguishability etc

           from:  Robert Ettinger:
> Again I take issue with this. "Same quantum state" can be a tricky and 
> misleading label. If (say) two atoms are widely separated in space, then 
> ARE distinguishable both in principle and in practice. (Look at a track in 
> cloud chamber.) (In addition, of course, a FULL designation of "quantum 
> state" for any system is beyond our current knowledge, and might even have 
> account for the complete history of the cosmos, if interacting systems 
> entangled.) 
 If I recall well, space coordinates are included in the quantum state
definition, so that two objects at two different places can't be in the
same quantum state. Only bosons are able to pile up at the same
place and so may be indistinguishable, this is what we get in a
laser beam. Half spin matter particles must be paired into whole
spin entity (bosons) before they can be put in the same state, because
that coupling is very feeble, it work only near the absolute zero
temperature, this is the so called Bose-Einstein condensate. Even
so, the condensate is about the paired system, not the individual
half spin elements it is made of.

Entanglement is a multilinear process with at least time variable
operators (rank two tensor quantum formalism).; At rank up to infinity
every particle in the Universe is indeed coupled to any other, this is
a mere philosophy statement as practical science can only
recover a finite rank state.

For short and in the cryonics frame, all particles are distinguishable
and everything else is hair splitting.

Yvan Bozzonetti.

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