Superficially, physical fields like magnetic field and gravitational field are good examples of reality with infinite degrees of freedom. Their quanta still refuse to go public. Respectively, these are the magnetic monopoles http://en.wikipedia.org/wiki/Magnetic_monopole and the gravitons http://en.wikipedia.org/wiki/Graviton. Both are bosons as mediators of exchange forces. The monopoles are exchanged between the magnetic northpole with the magnetic southpole. So there are southseeking monopoles and northseeking monopoles. Clocking their speeds is only possible if they are detected. On the other hand, gravitons are spin 2 vector bosons that could travel at the speed of light. Photons also travel at light speed but photon can be blocked by matter, while gravitons can travel through matter as easily as a hot knife through butter. The other elementary particles that can also travel through thick layers of matter are the neutrinos. Yet the right-handed ones refuse to appear in public. Since they must have infinite degrees of freedom, they could just as well be traveling outside the universe with all the infinitely free antiparticles.