  We suggest how quantum fields derive from quantum mechanics on intrinsic
configuration spaces with the Lie groups U(3) and U(2) as key examples.
Historically the intrinsic angular momentum, the spin, of the electron was
first seen as a new degree of freedom in 1925 by Uhlenbeck and Goudsmit to
explain atomic spectra in magnetic fields. Today intrinsic quantum mechanics
seems to be able to connect the strong and electroweak interaction sectors of
particle physics. Local gauge invariance in laboratory space corresponds to
left-invariance in intrinsic configuration space. We derive the proton spin
structure function and the proton magnetic moment as novel results of the
general conception presented here. We hint at the origin of the electroweak
mixing angle in up and down quark flavour generators. We show how to solve for
baryon mass spectra by a Rayleigh-Ritz method with all integrals found
analytically. We relate to existing and possibly upcoming experiments like
LHCb, KATRIN, Project 8, PSI-MUSE and ILC to test our predictions for neutral
pentaquarks, proton radius, precise Higgs mass, Higgs self-couplings, beta
decay neutrino mass and dark energy to baryon matter ratio. We take intrinsic
quantum mechanics to represent a step, not so much beyond the Standard Model of
particle physics, but to represent a step behind the Standard Model.
