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Dark Matter From Spacetime Nonlocality · Around

2015

Dark Matter From Spacetime Nonlocality

Saravani, Mehdi, Aslanbeigi, Siavash

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We propose that dark matter is not yet another new particle in nature, but that it is a remnant of quantum gravitational effects on known fields.

We arrive at this possibility in an indirect and surprising manner: by considering retarded, nonlocal, and Lorentzian evolution for quantum fields.
This is inspired by recent developments in causal set theory, where such an evolution shows up as the continuum limit of scalar field propagation on a background causal set.
Concretely, we study the quantum theory of a massless scalar field whose evolution is given not by the the d'Alembertian $\Box$, but by an operator $\tilde \Box$ which is Lorentz invariant, reduces to $\Box$ at low energies, and defines an explicitly retarded evolution: $(\tilde \Box \phi)(x)$ only depends on $\phi(y)$, with $y$ is in the causal past of $x$.

Built on

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S. Weinberg, The Quantum Theory of Fields, by Steven Weinberg, pp. 442. ISBN 0521660009. Cambridge, UK: Cambridge University Press, February 2000. (2000)
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R. D. Sorkin, ArXiv General Relativity and Quantum Cosmology e-prints (2007), gr-qc/0703099
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S. Deser and R. Woodard, Phys.Rev.Lett. 99
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