  In this article I am arguing in favour of the hypothesis that the origin of
gauge and string dualities in general can be found in a higher-categorical
interpretation of basic quantum mechanics. It is interesting to observe that
the Galilei group has a non-trivial cohomology, while the Lorentz/Poincare
group has trivial cohomology. When we constructed quantum mechanics, we noticed
the non-trivial cohomology structure of the Galilei group and hence, we
required for a proper quantisation procedure that would be compatible with the
symmetry group of our theory, to go to a central extension of the Galilei group
universal covering by co-cycle. This would be the Bargmann group. However,
Nature didn't choose this path. Instead in nature, the Galilei group is not
realised, while the Lorentz group is. The fact that the Galilei group has
topological obstructions leads to a central charge, the mass, and a
superselection rule, required to implement the Galilei symmetry, that forbids
transitions between states of different mass. The topological structure of the
Lorentz group however lacks such an obstruction, and hence allows for
transitions between states of different mass. The connectivity structure of the
Lorentz group as opposed to that of the Galilei group can be interpreted in the
sense of an ER=EPR duality for the topological space associated to group
cohomology. In string theory we started with the Witt algebra, and due to
similar quantisation issues, we employed the central extension by co-cycle to
obtain the Virasoro algebra. This is a unique extension for orientation
preserving diffeomorphisms on a circle, but there is no reason to believe that,
at the high energy domain in physics where this would apply, we do not have a
totally different structure altogether and the degrees of freedom present there
would require something vastly more general and global.
