  We suggest the gauge groups SU(3), SU(2) and U(1) to share a common origin in
U(3). We take the Lie group U(3) to serve as an intrinsic configuration space
for baryons. A spontaneous symmetry break in the baryonic state selects a U(2)
subgroup for the Higgs mechanism. The Higgs field enters the symmetry break to
relate the strong and electroweak energy scales by exchange of one quantum of
action between the two sectors. This shapes the Higgs potential to fourth
order. Recently intrinsic quantum mechanics has given a suggestion for the
Cabibbo angle from theory (EPL124-2018) and a prediction for the Higgs
couplings to gauge bosons (EPL125-2019). Previously it has given the nucleon
mass and the parton distribution functions for u and d quarks in the proton
(EPL102-2013). It has given a quite accurate equation for the Higgs mass in
closed form (IJMPA30-2015) and an N and Delta spectrum essentially without
missing resonances (arXiv:1109.4732). The intrinsic space is to be
distinguished from an interior space. The intrinsic space is non-spatial, i.e.
no gravity in intrinsic space. The configuration variable is like a generalized
spin variable excited from laboratory space by kinematic generators: momentum,
spin and Laplace-Runge-Lenz operators. The baryon dynamics resides in a
Hamiltonian on U(3) and projects to laboratory space by the momentum form of
the wavefunction. The momentum form generates conjugate quark and gluon fields.
Local gauge invariance in laboratory space follows from unitarity of the
configuration variable and left invariance of the coordinate fields on the
intrinsic space. Future work should aim to invoke leptons in the second and
third generations and quarks in the third.
