Black heart day
I believe in the possibility (and in some cases inevitibility of development) of cybernetic implantation, human cloning, genetic engineering, cryogenic stasis, particle scanners, electromagnetic levitation, and quantum transportation of large objects. But I (and pretty much every scientist who has written a “science in science fiction”-type book or essay) find it incredibly hard to believe that every single particle in a human being can be stored in a computer and reassembled accurately from other matter. Read why the transporter (and several other pieces of [i]Star Trek[/i] technology) are implausible here.
Besides, the transporter would be useless, since the same function could be taken by a much simpler device. By artificially generating a quantum singularity you can transport people from place to place whole. Not only is the transporter highly implausible, it is completely unnecessary.