Your "error_qt.txt" : Compiling geant4.9.3.p02.
# yum install qt4-devel (Providing version 4.2.1).
cd /usr/bin/ && ln -s /usr/lib/qt4/bin/moc && exit
cd geant4.9.3.p02/ && ./Configure -build ( *qt* = [y] ) : No errors.
Scientific Linux SL55 is "the CERN OS".
Geant4 is a "CERN application".
Geant4 will ( of course ) compile OK with the default SL55 qt4.
( Or another compatible qt4 ).
Qt4 version 4.7 is quite different from 4.2.1, I think.
And for best consistency : Please use the packages, provided by yum.
P.S. : There is a later version, Geant4 = 4.9.4