About the role of Galois groups in TGD framework

Abstract

This article was inspired by the inverse problem of Galois theory. Galois groups are realized
as number theoretic symmetry groups realized physically in TGD a symmetries of space-time
surfaces. Galois confinement is as analog of color confinement is proposed in TGD inspired
quantum biology.
Two instances of the inverse Galois problem, which are especially interesting in TGD, are
following:
Q1: Can a given finite group appear as Galois group over Q? The answer is not known.
Q2: Can a given finite group G appear as a Galois group over some EQ? Answer to Q2 is
positive as will be found and the extensions for a given G can be explicitly constructed.