About experimenting about elementary particles about space and time
That ZFU (set theory with urelements, non sets) is applied to space
and time explains the correlations between particles (in "An
interpretation about space and time in quantum mechanics") in
Logic Colloquium 2007.
ZFU applied to elementary particles is most likely to explain
the Big Bang, see
http://adibjebara.blogspot.com/
As the usual distance is not defined, we consider the distance
between particles number of urelements in between + 1
Mr Andreas Blass remarked that if the urelements are ordered by the
experiment set up, measurement may vary with the order when the
conversion to meters and seconds is made.
But it seems to me that , whatever the order of urelements, the
number of urelements in between + 1 stay the same.
After a comment from Mr Andreas Blass, I feel the need to precise
that the first and the last extremities of the sequence are not
to be changed as they are associated to particles.
I see the order between urelements as a distortion made by the
experiment set up.
The experiment set ups are so sophisticated that they can detect
what exists but that might be with a distortion, especially for
space and time which are invisible.
The experiment set up probably makes a particle move in a straight
line.
Without the experiment set up, may be the particle moves in
approximately a straight line.
We can say that we do not know what the particles do by themselves
even if we know what they do when we make them appear to us.
Mathematics help us see things as they are, without an experiment
set up interfering but then experiment set ups are necessary
because if mathematics and experiment set ups agree on some thing,
then that is where the truth is.
Adib Ben Jebara