shed light on the proper foundations of mathematics, and that the nature of number can ...

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.

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