Below the quark scale space-time, matter, measurement
and the dynamical law can no longer be separated operationally but fuse
into one variable, which we call the dynamic D of the system. D can be
considered as an atomized and unified generalization of the s matrix. D
acts on a composite of space-time-dynamic elements --chronons for short
-- whose statistics is crucial. Each of the classical groups generates
a unique natural quantum statistics. A groups generate Fermi-dirac statistics;
*C* Bose-Einstein; and *B* and *D*, the newer Schur-Wilczek
statistics, where the individual is described in a quadratic space and
the composite in its spinor space. Of these on S-W is 2-valued and gives
rise to spinors, so we infer that chronons have S-W statistics. This implies
a large Clifford algebra Cliff(N_{+}, N_{-}) of possible
dynamics with one Clifford unit for each chronon, representing permutations.
Now swaps are basic, not creation and annihilation or spin. The dynamic
is maximally described by one element from
which both space-time and the usual fields are to be constructed in the
limit
. This theory links the period 8 of the chessboard of Clifford algebras
to the dimension 4 of space-time, and accounts for the apparent Maxwell-Boltzman
statistics of classical space-time points. Earlier we suggested that spin
and statistics are correlated because
rotation is homotopic to a swap. Now they are correlated because rotations
are swaps.