I really need help here what do you mean by APPARENT collapse can you be specific are you suggesting your not exactly sure that decoherence collapses wave functions IE superposition. Because this is contradicatry to your earlier posts. This is very confusing for me I dont even know where to begin INVESTIGATING whatever diffrence your talking about. Does decoherance cause wave function collapse or create the illusion that it does and everything is still in superposition. Any help would be greatly appreciated.
I too have had a very hard time too understanding what bhobba means by apparent collapse. In my understanding, from the link he provided, it is the same as collapse. http://philsci-archive.pitt.edu/5439/1/Decoherence_Essay_arXiv_version.pdf (p38): "Ignorance interpretation: The mixed states we find by taking the partial trace over the environment can be interpreted as a proper mixture. Note that this is essentially a collapse postulate."Apparent means observationaly its the same - but actual collapse is another matter.
The jig is up here - cant give any more detail without the math - it requires knowledge of the difference between proper and improper mixtures which requires considerably more background than you have. Here is the detail for future reference: