Lorentz-invariant, retrocausal, and deterministic hidden variables

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 variables. We analyse the impact of such an approach on Bohmian mechanics and show that retrocausation (that is future influencing the past) necessarily comes out without time-loop paradox

Description of spontaneous photon emission and local density of states in presence of a lossy polaritonic inhomogenous medium

We provide a description of spontaneous emission in a dispersive and dissipative linear inhomogeneous medium based on the generalized Huttner-Barnett model [Phys. Rev. A 46, 4306 (1992)]. Our discussion considers on an equal footing both the photonic and material fluctuations which are necessary to preserve unitarity of the quantum evolution. Within this approach we justify the results obtained in the past using the Langevin noise method that neglects the removal of photonic fluctuations. We finally discuss the concept of local density of states (LDOS) in a lossy and dispersive inhomogeneous environment that provides a basis for theoretical studies of fluorescent emitters near plasmonic and polaritonic antennas.Comment: Submitted : comments are welcom

About Wigner Friend's and Hardy's paradox in a Bohmian approach: a comment of `Quantum theory cannot' consistently describe the use of itself'

This is an analysis of the recently published article `Quantum theory cannot consistently describe the use of itself' by D. Frauchiger and R. Renner~\cite{1}. Here I decipher the paradox and analyze it from the point of view of de Broglie-Bohm hidden variable theory (i.e., Bohmian mechanics). I also analyze the problem from the perspective obtained by the Copenhagen interpretation (i.e., the Bohrian interpretation) and show that both views are self consistent and do not lead to any contradiction with a `single-world' description of quantum theory.Comment: new version including some corrections for figures 3 and

Forewords for the special issue `Pilot-wave and beyond: Louis de Broglie and David Bohm's quest for a quantum ontology'

In order to celebrate this double birthday the journal Foundations of Physics publishes a topical collection `Pilot-wave and beyond' on the developments that have followed the pioneering works of Louis de Broglie and David Bohm on quantum foundations. This topical collection includes contributions from physicists and philosophers debating around the world about the scientific legacy of Bohm and de Broglie concerning the interpretation and understanding of quantum mechanics. In these forewords we give a general review of the historical context explaining how de Broglie and Bohm developed their interpretations of quantum mechanics. We further analyze the relationship between these two great thinkers and emphasize the role of several collaborators and continuators of their ontological approach to physics.Comment: Forewords for the special issue of Foundations of Physics, 'Pilot-wave and beyond: Louis de Broglie and David Bohm's quest for a quantum ontology', ed. A. Dreze

The guidance theorem of de Broglie

We review some aspects of the double solution theory proposed by de Broglie at the beginning of the quantum era (i.e., in the period 1924-28). We specifically analyze and rederive the so called guidance theorem which is a key element of the full theory. We compare the double solution approach to the most known pilot-wave interpretation, also known as de Broglie-Bohm or Bohmian mechanics. We explain why de Broglie rejected the pilot wave interpretation and advocated the double solution. We also discuss some philosophical issues related to difference of strategies between de Broglie on the one side and Bohm on the other side

About Wigner Friend’s and Hardy’s paradox in a Bohmian approach: a comment of “Quantum theory cannot consistently describe the use of itself”

International audienceThis is an analysis of the recently published article 'Quantum theory cannot consistently describe the use of itself' by D. Frauchiger and R. Renner [1]. Here I decipher the paradox and analyze it from the point of view of de Broglie-Bohm hidden variable theory (i.e., Bohmian mechanics). I also analyze the problem from the perspective obtained by the Copenhagen interpretation (i.e., the Bohrian interpretation) and show that both views are self consistent and do not lead to any contradiction with a 'single-world' description of quantum theory. Hardy's paradox; Bohmian mechanics; Lorentz Invariance 1. Hardy's paradox The claim of this article is that the recently published article [1,2] by D. Frauchiger and R. Renner about Wigner's Friends [3] and entanglement is mainly a rephrasing of the beautiful Hardy paradox [4,5] about quantum non-locality without inequality (for a clear and nice derivation see also [6] by S. Goldstein; see also the Greenberger-Horne-Zeilinger (GHZ) paradox [7]). The authors of [1] recognize the importance of Hardy's letter in their own analysis but the argument is written in such a way that the relation is no immediately transparent. My aim is here to clarify this point from the point of view of Bohmian mechanics (i.e., de Broglie Bohm interpretation). During the analysis I will also conside

A time-symmetric soliton dynamics \`a la de Broglie

In this work we develop a time-symmetric soliton theory for quantum particles inspired from works by de Broglie and Bohm. We consider explicitly a non-linear Klein-Gordon theory leading to monopolar oscillating solitons. We show that the theory is able to reproduce the main results of the pilot-wave interpretation for non interacting particles in a external electromagnetic field. In this regime, using the time symmetry of the theory, we are also able to explain quantum entanglement between several solitons and we reproduce the famous pilot-wave nonlocality associated with the de Broglie-Bohm theory.Comment: Submitted for publicatio

Quantizing polaritons in inhomogeneous dissipative systems

In this article we provide a a general analysis of canonical quantization for polaritons in dispersive and dissipative electromagnetic media. We compare several approaches based either on the Huttner Barnett model [B. Huttner, S. M. Barnett, Phys. Rev. A \textbf{46}, 4306 (1992)] or the Green function, Langevin noise method [T. Gruner, D.-G. Welsch, Phys. Rev. A \textbf{53}, 1818 (1996)] which includes only material oscillators as fundamental variables. We show in order to preserve unitarity, causality and time symmetry one must necessarily include with an equal footing both electromagnetic modes and material fluctuations on the evolution equations. This becomes particularly relevant for all nanophotonics and plasmonics problems involving spatially localized antennas or devices.Comment: This paper is submitted for publication (any comments are welcome