The concepts of Topological Parity and and Topological Torsion, as applied
to electromagnetic systems undergoing chemical evolutionary processes, suggest
methods of how to influence the production rate of chemical enantiomers. In
agreement with the suggestion of Pasteur, parallel E and B fields are necessary
to produce chiral separation, but the condition of nonorthogonal E and B is
necessary not sufficient. A clue is given by the fact that for a classical
electromagnetic field generated from a set of vector and scalar potentials, the
Pfaff dimension of the 1form of electromagnetic action must be 4 in order to
admit parallel E and B fields. IF the Pfaff dimension is not 4 then there exist
extermal processes for which the Virtual Work 1form is zero. It follows that
such processes are thermodynamically reversible.
On the otherhand, if the Pfaff dimension of the Action is 4, then there do not
exist extremal fields such that the virtual work 1form is zero. There do
exist, however, symplectic (nonextremal) processes such that the process is
reversible, even if the Pfaff dimension is 4. Such reversible symplectic
processes would not be expected to produce left handed or right handed dominance
in chemical reaction rates.
The question is how to produce a process where the electromagnetic current flow
is in the direction of the Torsion current. The Torsion current defines a
process which is thermodynamically irreversible.
