Implications of quantum gravity for dark matter

In this essay, we show that quantum gravity and the spin-statistics theorem have very interesting consequences for dark matter candidates. Quantum gravity can lead to fifth force type interactions that lead to a lower bound on the masses of bosonic candidates. In the case of fermions, the spin-statistics theorem leads to a lower bound on fermion masses. For both bosonic and fermionic dark matter candidates, quantum gravity leads to a decay of dark matter particles. A comparison of their lifetime with the age of the universe leads to an upper bound on their masses. For singlet scalar dark matter fields, we find 10(-3)eV less than or similar to m less than or similar to 10(7)eV.

Automated summary

This essay demonstrates that quantum gravity and the spin-statistics theorem have interesting implications for dark matter candidates, imposing lower bounds on bosonic and fermionic masses, as well as influencing the decay of dark matter particles. By comparing their lifetimes with the age of the universe, upper bounds on their masses are determined.