Implementation of the Quantum Equivalence Principle

@article{Hardy2020ImplementationOT,
  title={Implementation of the Quantum Equivalence Principle},
  author={Lucien Hardy},
  journal={Progress and Visions in Quantum Theory in View of Gravity},
  year={2020}
}
  • L. Hardy
  • Published 4 March 2019
  • Physics, Philosophy
  • Progress and Visions in Quantum Theory in View of Gravity
The quantum equivalence principle says that, for any given point, it is possible to find a quantum coordinate system with respect to which we have definite causal structure in the vicinity of that point. It is conjectured that this principle will play a similar role in the construction of a theory of Quantum Gravity to the role played by the equivalence principle in the construction of the theory of General Relativity. 
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References

SHOWING 1-10 OF 49 REFERENCES
Is there a quantum equivalence principle
The understanding that has been gained of accelerated vacua sheds new light on the classic issue of the self-force suffered by a uniformly accelerated charge. Moreover, the fact that, as a result of
Quantum Equivalence Principle
A simple mapping procedure is presented by which classical orbits and path integrals for the motion of a point particle in flat space can be transformed directly into those in curved space with
Does quantum mechanics clash with the equivalence principle—and does it matter?
With an eye on developing a quantum theory of gravity, many physicists have recently searched for quantum challenges to the equivalence principle of general relativity. However, as historians and
Testing the equivalence principle through freely falling quantum objects
Free fall in a uniform gravitational field is reexamined in the case of quantum states with and without a classical analogue. The interplay between kinematics and dynamics in the evolution of a
Causally neutral quantum physics.
In fundamental theories that accounts for quantum gravitational effects, the spacetime causal structure is expected to be quantum uncertain. Previous studies of quantum causal structure focused on
A Positive Formalism for Quantum Theory in the General Boundary Formulation
We introduce a new “positive formalism” for encoding quantum theories in the general boundary formulation, somewhat analogous to the mixed state formalism of the standard formulation. This makes the
Entanglement-induced deviation from the geodesic motion in quantum gravity
We study the derivation of the effective equation of motion for a pointlike particle in the framework of quantum gravity. Just like the geodesic motion of a classical particle is a consequence of
Quantum Gravity Computers: On the Theory of Computation with Indefinite Causal Structure
A quantum gravity computer is one for which the particular effects of quantum gravity are relevant. In general relativity, causal structure is non-fixed. In quantum theory non-fixed quantities are
Reduction of correlations by quantum indefinite causal structure
We show that quantum indefinite causal structure generically reduce two-party correlations. For significant indefiniteness in the causal structure captured by some general conditions, the correlation
...
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