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shed light on the proper foundations of mathematics, and that the nature of number can
constrain the nature of physical reality. I showthat requiring the joint mathematical consistency
of the Standard Model of particle physics and the DeWitt–Feynman–Weinberg theory of
quantum gravity can resolve the horizon, flatness and isotropy problems of cosmology.
Joint mathematical consistency naturally yields a scale-free, Gaussian, adiabatic perturbation
spectrum, and more matter than antimatter. I show that consistency requires the universe to
begin at an initial singularity with a pure SU(2)L gauge field. I show that quantum mechanics
requires this field to have a Planckian spectrum whatever its temperature. If this field has
managed to survive thermalization to the present day, then it would be the cosmic microwave
background radiation (CMBR). If so, then we would have a natural explanation for the dark
matter and the dark energy. I show that isotropic ultrahigh energy cosmic rays are explained if
theCMBRis a pure SU(2)L gauge field. The SU(2)L nature of theCMBRmay have been seen
in the Sunyaev–Zel’dovich effect. I propose several simple experiments to test the hypothesis.