Dear All,
"Assuming that a classical underlying space-time geometry exists, how does the quantum nature of the available probing objects modify the way in which we perceive the geometry?"
I think you hit the nail on the head in your abstract. but also;
" ...characteristics of the center of mass of extended objects."
"...in order to calculate the center of mass of the complete extended
object, all the individual particles have to be identifed as such, as neglecting their internal compositeness would lead to inconsistencies."
"...the trajectories of localized objects that define the space-time geometry."
and the need to; "...revise the standard geometrical concepts and explore the corresponding notions that could have, at least in principle, operational meaning."
I fear your methodology and language may be too steeped in the old mainstream paradigm, but may be wrong as it is surely open minds that count.
Certainly I agree "the recovery of the classical space-time." from the quanta is the holy grail, or 'unification'.
Well written. I hope you may read and comment on the more 'Locally Real' approach I take in my own essay, with some exiting results, and look forward to your thoughts on those and commonality.
Very best wishes
Peter
PS. Paul; For 'space-time' I think you may first substitute CSL in your own language, but leading to gravity.
