Conditions for graviton emission in the recombination of a delocalized
mass
- URL: http://arxiv.org/abs/2209.10355v3
- Date: Tue, 30 May 2023 12:49:59 GMT
- Title: Conditions for graviton emission in the recombination of a delocalized
mass
- Authors: Alessandro Pesci
- Abstract summary: In a known gedanken experiment, a delocalized mass is recombined while the gravitational field sourced by it is probed by another (distant) particle.
Here, we focus on the delocalized particle and explore the conditions (in terms of mass, separation, and recombination time) for graviton emission.
- Score: 91.3755431537592
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: In a known gedanken experiment, a delocalized mass is recombined while the
gravitational field sourced by it is probed by another (distant) particle; in
it, this is used to explore a possible tension between complementarity and
causality in case the gravitational field entangles with the superposed
locations, a proposed resolution being graviton emission from quadrupole
moments. Here, we focus on the delocalized particle (forgetting about the probe
and the gedanken experiment) and explore the conditions (in terms of mass,
separation, and recombination time) for graviton emission. Through this, we
find that the variations of quadrupole moments in the recombination are
generically greatly enhanced if the field is entangled compared to if it is
sourced instead by the energy momentum expectation value on the delocalized
state (moment variation $\sim m \, d^2$ in the latter case, with $m$ mass, $d$
separation). In addition, we obtain the (upper) limit recombination time for
graviton emission growing as $m$ in place of the naive expectation $\sqrt{m}$.
In this, the Planck mass acts as threshold mass (huge, for delocalized
objects): no graviton emission is possible below it, however fast the
recombination occurs. If this is compared with the decay times foreseen in the
collapse models of Di\'osi and Penrose (in their basic form), one finds that no
(quadrupole) graviton emission from recombination is possible in them. Indeed,
right when $m$ becomes large enough to allow for emission, it also becomes too
large for the superposition to survive collapse long enough to recombine.
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