Modified inertia from extended uncertainty principle(s) and its relation to MoND

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2020Suggested citation
Giné, Jaume;
Gaetano Luciano, Giuseppe;
.
(2020)
.
Modified inertia from extended uncertainty principle(s) and its relation to MoND.
European Physical Journal C, 2020, vol. 80, a1039.
https://doi.org/10.1140/epjc/s10052-020-08636-x.
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In this paper we show that Modified Inertia, i.e.,
the modification of inertia predicted by some alternative theories of gravity at cosmic scales, can be naturally derived
within the framework of the extended uncertainty principle
(EUP). Specifically, we consider two possible extensions of
the Heisenberg uncertainty principle (HUP), corresponding
to two different deformations of the fundamental commutator: the first one provides the natural generalization of the
HUP to the (anti)-de Sitter spacetime and is endowed with
only a quadratic correction in the uncertainty position. On
the other hand, the second model contains both linear and
quadratic extra terms. We prove that modified inertia is a
direct consequence of the minimal acceleration experienced
by any body due to the cosmic expansion. The obtained
results are then discussed in connection with the empirical predictions of Modified Newtonian dynamics (MoND).
The requirement of consistency between the two approaches
allows us to fix the adjustable constant which marks the transition between the Newtonian and deep-MoND regimes.
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European Physical Journal C, 2020, vol. 80, a1039European research projects
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