Lorentz-Invariant, Retrocausal, and Deterministic Hidden Variables

  title={Lorentz-Invariant, Retrocausal, and Deterministic Hidden Variables},
  author={Aur{\'e}lien Drezet},
  journal={Foundations of Physics},
  • A. Drezet
  • Published 17 April 2019
  • Mathematics, Physics
  • Foundations of Physics
We review several no-go theorems attributed to Gisin and Hardy, Conway and Kochen purporting the impossibility of Lorentz-invariant deterministic hidden-variable model for explaining quantum nonlocality. Those theorems claim that the only known solution to escape the conclusions is either to accept a preferred reference frame or to abandon the hidden-variable program altogether. Here we present a different alternative based on a foliation dependent framework adapted to deterministic hidden… 

Figures from this paper


Reexamining the assumption that elements of reality can be Lorentz invariant.
  • Cohen, Hiley
  • Physics, Medicine
    Physical review. A, Atomic, molecular, and optical physics
  • 1995
It is demonstrated that the contradiction, which arises in the gedanken experiment and forms the basis of Hardy's proof, has nothing to do with realism, but is a consequence of the well-known noncovariance of the reduction postulate.
Nonlocality, Lorentz invariance, and Bohmian quantum theory.
A model invariant under a certain limit of Lorentz transformations, a limit retaining the characteristic feature of relativity, the nonexistence of absolute time, i.e., of simultaneity is presented.
On predictions in retro-causal interpretations of quantum mechanics
Abstract The curious correlations between distant events in quantum phenomena suggest the existence of non-local influences. Indeed, as John Bell demonstrated in his celebrated theorem, granted some
Absolute space-time and realism in Lorentz invariant interpretations of quantum mechanics
Abstract The assertion that Lorentz invariance must necessarily be violated in models aimed at giving a realistic account of quantum theory is shown to be incorrect. Assuming that an absolute curved
Signal-locality, uncertainty, and the subquantum H-theorem. II
Abstract We begin a statistical mechanics based on the pilot-wave formulation of quantum theory, without making the assumption that the probability density P is equal to ‖Ψ‖2. Instead, this relation
What Does the Free Will Theorem Actually Prove
Conway and Kochen have presented a "free will theorem" (Notices of the AMS 56, pgs. 226-232 (2009)) which they claim shows that "if indeed we humans have free will, then [so do] elementary
A non-local, Lorentz-invariant, hidden-variable interpretation of relativistic quantum mechanics based on particle trajectories
We demonstrate how to construct a Lorentz-invariant, hidden-variable interpretation of relativistic quantum mechanics based on particle trajectories. The covariant theory that we propose employs a
Comment on “The Free Will Theorem”
In a recent paper Conway and Kochen, Found. Phys. 36, 2006, claim to have established that theories of the Ghirardi-Rimini-Weber (RW) type, i.e., of spontaneous wave function collapse, cannot be made
Opposite arrows of time can reconcile relativity and nonlocality
We present a quantum model for the motion of N point particles, implying nonlocal (i.e., superluminal) influences of external fields on the trajectories, that is nonetheless fully relativistic. In
Relativistic Quantum Mechanics through Frame‐Dependent Constructions
This paper is concerned with the possibility and nature of relativistic hidden‐variable formulations of quantum mechanics. Both ad hoc teleological constructions and frame‐dependent constructions of