L. Debroglie, La mécanique ondulatoire et la structure atomique de la matière et du rayonnement, J. Phys. Radium, vol.8, issue.5, pp.225-241, 1927.

D. Bohm, A Suggested Interpretation of the Quantum Theory in Terms of "Hidden, Variables. I. Phys. Rev, vol.85, issue.2, pp.166-179, 1952.

D. Bohm, A Suggested Interpretation of the Quantum Theory in Terms of "Hidden, Variables. II. Phys. Rev, vol.85, issue.2, pp.180-193, 1952.

M. Hatifi, R. Willox, S. Colin, and T. Durt, Bouncing oil droplets, de broglie's quantum thermostat, and convergence to equilibrium, Entropy, vol.20, issue.10, p.780, 2018.
URL : https://hal.archives-ouvertes.fr/hal-02437248

D. Dürr, S. Goldstein, T. Norsen, W. Struyve, and N. Zanghì, Can bohmian mechanics be made relativistic?, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.470, p.20130699, 2014.

D. Dürr, S. Goldstein, and N. Zanghì, Bohmian mechanics and the meaning of the wave function, 1995.

S. John and . Bell, Speakable and unspeakable in quantum mechanics: Collected papers on quantum philosophy, 2004.

E. Deotto and G. Ghirardi, Bohmian mechanics revisited. Found. Phys, vol.28, issue.1, pp.1-30, 1998.

P. R. Holland, The quantum theory of motion: an account of the de Broglie-Bohm causal interpretation of quantum mechanics, 1993.

F. Laloë, Comprenons-nous vraiment la mécanique quantique?: 2e édition, révisée et augmentée, EDP sciences, 2018.

D. Bohm and J. Vigier, Model of the causal interpretation of quantum theory in terms of a fluid with irregular fluctuations, Phys. Rev, vol.96, issue.1, p.208, 1954.

A. Valentini and H. Westman, Dynamical origin of quantum probabilities, Proc. R. Soc. A, vol.461, pp.253-272, 2005.

T. Norsen, On the explanation of born-rule statistics in the de broglie-bohm pilotwave theory, Entropy, vol.20, issue.6, p.422, 2018.

A. Valentini, On the pilot-wave theory of classical, quantum and subquantum physics, 1992.

A. Valentini, Signal locality, uncertainty and the subquantum H-theorem. I, Phys. Lett. A, vol.156, pp.5-11, 1991.

A. Valentini, Signal locality, uncertainty and the subquantum H-theorem, II. Phys. Lett. A, vol.158, pp.1-8, 1991.

A. Valentini, Foundations of statistical mechanics and the status of the born rule in de broglie-bohm pilot-wave theory, 2019.

S. Colin and W. Struyve, Quantum non-equilibrium and relaxation to quantum equilibrium for a class of de Broglie-Bohm-type theories, New J. Phys, vol.12, p.43008, 2010.

, A deterministic pilot wave dynamics: the de Broglie-Bohm interpretation

M. D. Towler, N. J. Russell, and A. Valentini, Time scales for dynamical relaxation to the Born rule, Proc. R. Soc. A, vol.468, pp.990-1013, 2011.

S. Colin, Relaxation to quantum equilibrium for Dirac fermions in the de Broglie-Bohm pilot-wave theory, Proc. R. Soc. A, vol.468, pp.1116-1135, 2012.

G. Contopoulos, N. Delis, and C. Efthymiopoulos, Order in de Broglie -Bohm quantum mechanics, J. Phys. A: Math. Theor, vol.45, issue.16, p.165301, 2012.

E. Abraham, S. Colin, and A. Valentini, Long-time relaxation in the pilot-wave theory, J. Phys. A: Math. Theor, vol.47, p.395306, 2014.

C. Efthymiopoulos, C. Kalapotharakos, and G. Contopoulos, Origin of chaos near critical points of quantum flow, Phys. Rev. E, vol.79, issue.3, p.36203, 2009.

N. Cufaro and P. , Asymptotic behaviour of densities for Nelson processes, Quantum Communications and Measurement, pp.43-52, 1995.

N. Cufaro-petroni and F. Guerra, Quantum Mechanical States as Attractors for Nelson Processes, Found. Phys, vol.25, issue.2, pp.297-315, 1995.

C. Efthymiopoulos, G. Contopoulos, and A. C. Tzemos, Chaos in de Broglie -Bohm quantum mechanics and the dynamics of quantum relaxation, Ann. Fond. de Broglie, vol.42, p.133, 2017.

A. Valentini, Inflationary cosmology as a probe of primordial quantum mechanics, Phys. Rev. D, vol.82, p.63513, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00285030

N. G. Underwood and A. Valentini, Quantum field theory of relic nonequilibrium systems, Phys. Rev. D, vol.92, p.63531, 2015.

C. Athanasios-c-tzemos, G. Efthymiopoulos, and . Contopoulos, Origin of chaos near three-dimensional quantum vortices: A general bohmian theory, Physical Review E, vol.97, issue.4, p.42201, 2018.

D. Bohm and J. Vigier, Model of the causal interpretation of quantum theory in terms of a fluid with irregular fluctuations, Phys. Rev, vol.96, issue.1, p.208, 1954.

A. Valentini, Signal locality, uncertainty and the subquantum H-theorem. I, Phys. Lett. A, vol.156, pp.5-11, 1991.

C. Efthymiopoulos, G. Contopoulos, and A. C. Tzemos, Chaos in de Broglie -Bohm quantum mechanics and the dynamics of quantum relaxation, Ann. Fond. de Broglie, vol.42, p.133, 2017.

P. Kyprianidis, The Principles of a Stochastic Formulation of Quantum Theory, Found. Phys, vol.22, issue.12, pp.1449-1483, 1992.

E. Nelson, Dynamical Theories of Brownian Motion, Mathematical Notes, vol.131, issue.6, pp.2381-2396, 1967.

D. Bohm and B. Hiley, Non-locality and locality in the stochastic interpretation of quantum mechanics, Physics Reports, vol.172, issue.3, pp.93-122, 1989.

N. Cufaro and P. , Asymptotic behaviour of densities for Nelson processes, Quantum Communications and Measurement, pp.43-52, 1995.

N. Cufaro-petroni and F. Guerra, Quantum Mechanical States as Attractors for Nelson Processes, Found. Phys, vol.25, issue.2, pp.297-315, 1995.

F. Guerra, Introduction to Nelson stochastic mechanics as a model for quantum mechanics, The Foundations of Quantum Mechanics, pp.339-355, 1995.

A. Valentini and H. Westman, Dynamical origin of quantum probabilities, Proc. R. Soc. A, vol.461, pp.253-272, 2005.

S. Colin and W. Struyve, Quantum non-equilibrium and relaxation to quantum equilibrium for a class of de Broglie-Bohm-type theories, New J. Phys, vol.12, p.43008, 2010.

M. D. Towler, N. J. Russell, and A. Valentini, Time scales for dynamical relaxation to the Born rule, Proc. R. Soc. A, vol.468, pp.990-1013, 2011.

S. Colin, Relaxation to quantum equilibrium for Dirac fermions in the de Broglie-Bohm pilot-wave theory, Proc. R. Soc. A, vol.468, pp.1116-1135, 2012.

G. Contopoulos, N. Delis, and C. Efthymiopoulos, Order in de Broglie -Bohm quantum mechanics, J. Phys. A: Math. Theor, vol.45, issue.16, p.165301, 2012.

E. Abraham, S. Colin, and A. Valentini, Long-time relaxation in the pilot-wave theory, J. Phys. A: Math. Theor, vol.47, p.395306, 2014.

T. Norsen, On the explanation of born-rule statistics in the de broglie-bohm pilotwave theory, Entropy, vol.20, issue.6, p.422, 2018.

M. Hatifi, R. Willox, S. Colin, and T. Durt, Bouncing oil droplets, de broglie's quantum thermostat, and convergence to equilibrium, Entropy, vol.20, issue.10, p.780, 2018.
URL : https://hal.archives-ouvertes.fr/hal-02437248

A. Valentini and H. Westman, Dynamical origin of quantum probabilities, Proc. R. Soc. A, vol.461, pp.253-272, 2005.

T. Norsen, On the explanation of born-rule statistics in the de broglie-bohm pilotwave theory, Entropy, vol.20, issue.6, p.422, 2018.

A. Valentini, Foundations of statistical mechanics and the status of the born rule in de broglie-bohm pilot-wave theory, 2019.

E. Fermi and . Thermodynamics, , 1956.

C. Efthymiopoulos, G. Contopoulos, and A. C. Tzemos, Chaos in de Broglie -Bohm quantum mechanics and the dynamics of quantum relaxation, Ann. Fond. de Broglie, vol.42, p.133, 2017.

G. Contopoulos, N. Delis, and C. Efthymiopoulos, Order in de Broglie -Bohm quantum mechanics, J. Phys. A: Math. Theor, vol.45, issue.16, p.165301, 2012.

C. Efthymiopoulos, C. Kalapotharakos, and G. Contopoulos, Origin of chaos near critical points of quantum flow, Phys. Rev. E, vol.79, issue.3, p.36203, 2009.

E. Abraham, S. Colin, and A. Valentini, Long-time relaxation in the pilot-wave theory, J. Phys. A: Math. Theor, vol.47, p.395306, 2014.

A. Cesa, J. Martin, and W. Struyve, Chaotic bohmian trajectories for stationary states, Journal of Physics A: Mathematical and Theoretical, vol.49, issue.39, p.395301, 2016.

G. Benettin, L. Galgani, and J. Strelcyn, Kolmogorov entropy and numerical experiments, Physical Review A, vol.14, issue.6, p.2338, 1976.

G. Benettin, L. Galgani, A. Giorgilli, and J. Strelcyn, Lyapunov characteristic exponents for smooth dynamical systems and for hamiltonian systems; a method for computing all of them, Theory. Meccanica, vol.1, issue.1, pp.9-20, 1980.

A. J. Lichtemberg and M. A. Lieberman, Regular and chaotic dynamics, 1992.

Y. Couder and E. Fort, Single-particle diffraction and interference at a macroscopic scale, Phys. Rev. Lett, vol.97, p.15410, 2006.

Y. Couder, A. Boudaoud, S. Protière, and E. Fort, Walking droplets, a form of waveparticle duality at macroscopic scale? Europhysics News, vol.41, pp.14-18, 2010.

Y. Couder, S. Protière, E. Fort, and A. Boudaoud, Dynamical phenomena: walking and orbiting droplets, Nature, vol.437, p.208, 2005.

M. Daniel, J. Harris, E. Moukhtar, Y. Fort, J. W. Couder et al., Wavelike statistics from pilot-wave dynamics in a circular corral, Phys. Rev. E, vol.88, p.11001, 2013.

W. John and . Bush, Pilot-wave hydrodynamics, Annu. Rev. Fluid Mech, vol.47, pp.269-292, 2015.

Y. Couder and E. Fort, Probabilities and trajectories in a classical wave-particle duality, J. Phys.: Conf. Ser, vol.361, p.12001, 2012.

W. M. John and . Bush, The new wave of pilot-wave theory, Physics Today, vol.68, issue.8, p.47, 2015.

M. Hatifi, R. Willox, S. Colin, and T. Durt, Bouncing oil droplets, de broglie's quantum thermostat, and convergence to equilibrium, Entropy, vol.20, issue.10, p.780, 2018.
URL : https://hal.archives-ouvertes.fr/hal-02437248

S. Colin, T. Durt, R. L. Willox, and . De, Broglie's double solution program: 90 years later. Annales de la Fondation Louis de Broglie, vol.42, p.19, 2017.
URL : https://hal.archives-ouvertes.fr/hal-02437276

M. Labousse, S. Oza, J. W. Perrard, and . Bush, Pilot-wave dynamics in a harmonic potential: Quantization and stability of circular orbits, Physical Review E, vol.93, issue.3, p.33122, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01304851

C. Borghesi, Dualité onde-corpuscule formée par une masselotte oscillante dans un milieu élastique: étude théorique et similitudes quantiques, 2016.

C. Borghesi, Equivalent quantum equations with effective gravity in a system inspired by bouncing droplets experiments, 2017.

A. Eddi, E. Sultan, J. Moukhtar, E. Fort, M. Rossi et al., Information stored in Faraday waves: the origin of a path memory, Journal of Fluid Mechanics, vol.674, pp.433-463, 2011.

S. Perrard, M. Labousse, M. Miskin, E. Fort, and Y. Couder, Self-organization into quantized eigenstates of a classical wave-driven particle, Nature communications, vol.5, p.3219, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01059432

T. Durt, Do dice remember? International journal of theoretical physics, vol.38, pp.457-473, 1999.

D. Bohm, A Suggested Interpretation of the Quantum Theory in Terms of "Hidden, Variables. I. Phys. Rev, vol.85, issue.2, pp.166-179, 1952.

D. Bohm, A Suggested Interpretation of the Quantum Theory in Terms of "Hidden, Variables. II. Phys. Rev, vol.85, issue.2, pp.180-193, 1952.

E. Nelson, Dynamical Theories of Brownian Motion, Mathematical Notes, vol.131, issue.6, pp.2381-2396, 1967.

M. Labousse, Etude d'une dynamique à mémoire de chemin: une expérimentation théorique, 2014.

E. Fort, A. Eddi, A. Boudaoud, J. Moukhtar, and Y. Couder, Path-memory induced quantization of classical orbits, Proceedings of the National Academy of Sciences, vol.107, issue.41, pp.17515-17520, 2010.

R. Dubertrand, M. Hubert, P. Schlagheck, N. Vandewalle, T. Bastin et al., Scattering theory of walking droplets in the presence of obstacles, New Journal of Physics, vol.18, issue.11, p.113037, 2016.

L. Tadrist, J. Shim, T. Gilet, and P. Schlagheck, Faraday instability and subthreshold faraday waves: surface waves emitted by walkers, 2017.

Ø. Anand-u-oza, . Wind-willassen, M. Daniel, R. R. Harris, J. Rosales et al., Pilot-wave hydrodynamics in a rotating frame: Exotic orbits, Physics of Fluids, vol.26, issue.8, p.82101, 2014.

. Yf-chen, K. F. Lan, and . Huang, Observation of quantum-classical correspondence from high-order transverse patterns, Physical Review A, vol.68, issue.4, p.43803, 2003.

B. Diu, C. Cohen-tannoudji, and F. , Laloe. Quantum Mechanics, 1977.

T. Cristea-platon, P. J. Sáenz, and J. Bush, Statistical projection effects in a hydrodynamic pilot-wave system, Nature, vol.14, p.3, 2017.

G. Grössing, Sub-quantum thermodynamics as a basis of emergent quantum mechanics, Entropy, vol.12, issue.9, pp.1975-2044, 2010.

D. Hestenes, The zitterbewegung interpretation of quantum mechanics, Founds. of Phys, vol.20, p.10, 1990.

S. Colin and H. M. Wiseman, The zig-zag road to reality, J. Phys. A: Math. Theor, vol.44, issue.34, p.345304, 2011.

T. Gilet, Quantumlike statistics of deterministic wave-particle interactions in a circular cavity, Phys. Rev. E, vol.93, p.42202, 2016.

H. Nitta and T. Kudo, Time of arrival of electrons in the double-slit experiment, Physical Review A, vol.77, issue.1, p.14102, 2008.

P. Ghose, A continuous transition between quantum and classical mechanics, I. Found. Phys, vol.32, issue.6, pp.871-892, 2002.

M. Davidson, A generalization of the Fényes-Nelson stochastic model of quantum mechanics, Letters in Mathematical Physics, vol.3, issue.4, pp.271-277, 1979.

A. Andersen, J. Madsen, C. Reichelt, S. R. Ahl, B. Lautrup et al., Double-slit experiment with single wave-driven particles and its relation to quantum mechanics, Phys. Rev. E, vol.92, p.13006, 2015.

T. Bohr, A. Andersen, and B. Lautrup, Bouncing droplets, pilot-waves, and quantum mechanics, Recent Advances in Fluid Dynamics with Environmental Applications, pp.335-349, 2016.

G. Pucci, M. Daniel, . Harris, M. Luiz, J. Faria et al., Walking droplets interacting with single and double slits, Journal of Fluid Mechanics, vol.835, pp.1136-1156, 2018.
URL : https://hal.archives-ouvertes.fr/hal-02301368

D. Bohm and B. Hiley, Non-locality and locality in the stochastic interpretation of quantum mechanics, Physics Reports, vol.172, issue.3, pp.93-122, 1989.

E. Nelson, Review of stochastic mechanics, J. of Phys.: Conf. Ser, vol.361, p.12011, 2012.

J. S. Bell, On the EPR paradox, Physics, vol.1, p.165, 1964.

G. Bacciagaluppi, A Conceptual Introduction to Nelson's Mechanics, Endophysics, time, quantum and the subjective, pp.367-388, 2005.

T. Wallstrom, Inequivalence between the Schrödinger equation and the Madelung hydrodynamic equations, Phys. Rev. A, vol.49, p.1613, 1994.

T. L. Durt and . De, Broglie's double solution and gravitation. Annales de la Fondation Louis de Broglie, vol.42, p.73, 2017.
URL : https://hal.archives-ouvertes.fr/hal-02437282

M. Hatifi, C. Lopez-fortin, and T. Durt, De Broglie's double solution: limitations of the self-gravity approach. Annales de la Fondation Louis de Broglie, vol.43, p.63, 2018.
URL : https://hal.archives-ouvertes.fr/hal-02437240

C. Efthymiopoulos, G. Contopoulos, and A. C. Tzemos, Chaos in de Broglie -Bohm quantum mechanics and the dynamics of quantum relaxation, Ann. Fond. de Broglie, vol.42, p.133, 2017.

L. Diósi, Gravitation and quantum-mechanical localization of macro-objects, Physics Letters A, vol.105, issue.4, pp.199-202, 1984.

. Krw-jones, Newtonian quantum gravity, Australian Journal of Physics, vol.48, issue.6, pp.1055-1082, 1995.

C. Moller, The energy-momentum complex in general relativity and related problems, Colloq. Int. CNRS, vol.91, pp.15-29, 1959.

R. Penrose, On gravity's role in quantum state reduction. General relativity and gravitation, vol.28, pp.581-600, 1996.

L. Rosenfeld, On quantization of fields, Nuclear Physics, vol.40, pp.353-356, 1963.

H. Yang, H. Miao, D. Lee, B. Helou, and Y. Chen, Macroscopic quantum mechanics in a classical spacetime, Physical review letters, vol.110, issue.17, p.170401, 2013.

S. Colin, T. Durt, and R. Willox, Can quantum systems succumb to their own (gravitational) attraction?, Class. Quantum Grav, vol.31, p.245003, 2014.

D. Giulini and A. Großardt, The schrödinger-newton equation as a nonrelativistic limit of self-gravitating klein-gordon and dirac fields, Classical and Quantum Gravity, vol.29, issue.21, p.215010, 2012.

. Louis-de-broglie, Non-linear wave mechanics: A causal interpretation, 1960.

L. Victor and P. Raymond-de-broglie, Une tentative d'interprétation causale et non linéaire de la mécanique ondulatoire: la théorie de la double solution, 1956.

M. Hatifi, C. Lopez-fortin, and T. Durt, De Broglie's double solution: limitations of the self-gravity approach. Annales de la Fondation Louis de Broglie, vol.43, p.63, 2018.
URL : https://hal.archives-ouvertes.fr/hal-02437240

I. Bialynicki, -. Birula, and J. Mycielski, Nonlinear wave mechanics, Annals of Physics, vol.100, issue.1-2, pp.62-93, 1976.

A. Shimony, Proposed neutron interferometer test of some nonlinear variants of wave mechanics, Phys. Rev. A, vol.20, p.39, 1979.

S. Weinberg, Testing quantum mechanics, Annals of Physics, vol.194, issue.2, pp.336-386, 1989.

J. Polchinski, Weinberg's nonlinear quantum mechanics and the einsteinpodolsky-rosen paradox, Physical Review Letters, vol.66, issue.4, p.397, 1991.

N. Gisin, Weinberg's non-linear quantum mechanics and supraluminal communications, Physics Letters A, vol.143, issue.1-2, pp.1-2, 1990.

D. Fargue, Permanence of the corpuscular appearance and non linearity of the wave equation, The wave-particle dualism, pp.149-172, 1984.

D. Fargue, Louis de broglie's "double solution" a promising but unfinished theory, Ann. Fond. de Broglie, vol.42, issue.1, 2017.

T. L. Durt and . De, Broglie's double solution and gravitation. Annales de la Fondation Louis de Broglie, vol.42, p.73, 2017.
URL : https://hal.archives-ouvertes.fr/hal-02437282

S. Colin, T. Durt, and R. Willox, Crucial tests of macrorealist and semiclassical gravity models with freely falling mesoscopic nanospheres, Physical Review A, vol.93, issue.6, p.62102, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01555040

S. Colin, T. Durt, R. L. Willox, and . De, Broglie's double solution program: 90 years later. Annales de la Fondation Louis de Broglie, vol.42, p.19, 2017.
URL : https://hal.archives-ouvertes.fr/hal-02437276

R. Penrose, On the gravitization of quantum mechanics 1: Quantum state reduction, Foundations of Physics, vol.44, issue.5, pp.557-575, 2014.

A. Großardt, J. Bateman, H. Ulbricht, and A. Bassi, Optomechanical test of the schrödinger-newton equation, Physical Review D, vol.93, issue.9, p.96003, 2016.

A. Großardt, Approximations for the free evolution of self-gravitating quantum particles, Physical Review A, vol.94, issue.2, p.22101, 2016.

. Louis-de-broglie, Non-linear wave mechanics: A causal interpretation, 1960.

. Louis-de-broglie, An introduction to the study of wave mechanics, 1930.

. Louis-de-broglie, Interpretation of quantum mechanics by the double solution theory, vol.12, pp.1-23, 1987.

T. Durt, Generalized guidance equation for peaked quantum solitons and effective gravity, Europhysics Letters), vol.114, issue.1, p.10004, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01272636

D. Bohm, A Suggested Interpretation of the Quantum Theory in Terms of "Hidden, Variables. I. Phys. Rev, vol.85, issue.2, pp.166-179, 1952.

D. Bohm, A Suggested Interpretation of the Quantum Theory in Terms of "Hidden, Variables. II. Phys. Rev, vol.85, issue.2, pp.180-193, 1952.

P. R. Holland, The quantum theory of motion: an account of the de Broglie-Bohm causal interpretation of quantum mechanics, 1993.

E. R. Arriola and J. Soler, A variational approach to the schrödingerpoisson system: asymptotic behaviour, breathers, and stability, Journal of Statistical Physics, vol.103, issue.5-6, pp.1069-1105, 2001.

N. Gisin, Stochastic quantum dynamics and relativity, Helv. Phys. Acta, vol.62, issue.4, pp.363-371, 1989.

J. S. Bell, On the EPR paradox, Physics, vol.1, p.165, 1964.

T. Durt, About the possibility of supraluminal transmission of information in the bohm-bub theory, Helvetica Physica Acta, vol.72, issue.5-6, pp.356-376, 1999.

G. Bacciagaluppi and A. Valentini, Quantum Theory at the Crossroads: Reconsidering the 1927 Solvay Conference, 2010.

D. Bohm and J. Vigier, Model of the causal interpretation of quantum theory in terms of a fluid with irregular fluctuations, Phys. Rev, vol.96, issue.1, p.208, 1954.

O. Marlan, B. Scully, J. Englert, and . Schwinger, Spin coherence and humpty-dumpty. iii. the effects of observation, Physical Review A, vol.40, issue.4, p.1775, 1989.

M. Czachor, Mobility and non-separability, Foundations of Physics Letters, vol.4, issue.4, pp.351-361, 1991.

N. Gisin, Weinberg's non-linear quantum mechanics and supraluminal communications, Physics Letters A, vol.143, issue.1-2, pp.1-2, 1990.

S. Bose, A. Mazumdar, W. Gavin, H. Morley, M. Ulbricht et al., Spin entanglement witness for quantum gravity, Physical review letters, vol.119, issue.24, p.240401, 2017.

C. Marletto and V. Vedral, Gravitationally induced entanglement between two massive particles is sufficient evidence of quantum effects in gravity, Physical review letters, vol.119, issue.24, p.240402, 2017.

C. Anastopoulos and B. Hu, Comment on" a spin entanglement witness for quantum gravity" and on" gravitationally induced entanglement between two massive particles is sufficient evidence of quantum effects in gravity, 2018.

S. Colin, T. Durt, and R. Willox, Can quantum systems succumb to their own (gravitational) attraction?, Class. Quantum Grav, vol.31, p.245003, 2014.

C. Bailey, M. Hsu, J. Berrondo, and . Van-huele, Stern-gerlach dynamics with quantum propagators, Physical Review A, vol.83, issue.1, p.12109, 2011.

E. Daniel and . Platt, A modern analysis of the stern-gerlach experiment, American Journal of Physics, vol.60, issue.4, pp.306-308, 1992.

G. C. Ghirardi, A. Rimini, and T. Weber, Unified dynamics for microscopic and macroscopic systems, Physical Review D, vol.34, issue.2, p.470, 1986.

J. Polchinski, Weinberg's nonlinear quantum mechanics and the einsteinpodolsky-rosen paradox, Physical Review Letters, vol.66, issue.4, p.397, 1991.

B. Mielnik, Phenomenon of mobility in non-linear theories, Communications in Mathematical Physics, vol.101, issue.3, pp.323-339, 1985.

S. Colin, T. Durt, R. L. Willox, and . De, Broglie's double solution program: 90 years later. Annales de la Fondation Louis de Broglie, vol.42, p.19, 2017.
URL : https://hal.archives-ouvertes.fr/hal-02437276

P. Pearle, Combining stochastic dynamical state-vector reduction with spontaneous localization, Physical Review A, vol.39, issue.5, p.2277, 1989.

A. Bassi, K. Lochan, S. Satin, P. Tejinder, H. Singh et al., Models of wave-function collapse, underlying theories, and experimental tests. Reviews of Modern, Physics, vol.85, issue.2, p.471, 2013.

L. Diósi, Models for universal reduction of macroscopic quantum fluctuations, Physical Review A, vol.40, issue.3, p.1165, 1989.

L. Stephen and . Adler, Quantum theory as an emergent phenomenon: The statistical mechanics of matrix models as the precursor of quantum field theory, 2004.

R. Tumulka, A relativistic version of the ghirardi-rimini-weber model, Journal of Statistical Physics, vol.125, issue.4, pp.821-840, 2006.

N. Gisin, Stochastic quantum dynamics and relativity, Helv. Phys. Acta, vol.62, issue.4, pp.363-371, 1989.

M. Esfeld and N. Gisin, The grw flash theory: a relativistic quantum ontology of matter in space-time?, Philosophy of Science, vol.81, issue.2, pp.248-264, 2014.

B. Mielnik, The paradox of two bottles in quantum mechanics, Foundations of Physics, vol.20, issue.6, pp.745-755, 1990.

S. Nimmrichter and K. Hornberger, Stochastic extensions of the regularized schrödinger-newton equation, Physical Review D, vol.91, issue.2, p.24016, 2015.

M. Bahrami, A. Großardt, S. Donadi, and A. Bassi, The schrödinger-newton equation and its foundations, New Journal of Physics, vol.16, issue.11, p.115007, 2014.

D. Salart, A. Baas, C. Branciard, N. Gisin, and H. Zbinden, Testing the speed of 'spooky action at a distance', Nature, issue.7206, p.861, 2008.

D. Rideout, T. Jennewein, G. Amelino-camelia, F. Tommaso, B. L. Demarie et al., Fundamental quantum optics experiments conceivable with satellites-reaching relativistic distances and velocities, Classical and Quantum Gravity, vol.29, issue.22, p.224011, 2012.

S. Colin, T. Durt, and R. Willox, Crucial tests of macrorealist and semiclassical gravity models with freely falling mesoscopic nanospheres, Physical Review A, vol.93, issue.6, p.62102, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01555040

S. Nimmrichter, K. Hornberger, P. Haslinger, and M. Arndt, Testing spontaneous localization theories with matter-wave interferometry, Physical Review A, vol.83, issue.4, p.43621, 2011.

S. Gerlich, S. Eibenberger, M. Tomandl, S. Nimmrichter, K. Hornberger et al., Quantum interference of large organic molecules, Nature communications, vol.2, p.263, 2011.

. James-r-van-meter, Schrödinger-newton 'collapse'of the wavefunction, Classical and Quantum Gravity, vol.28, issue.21, p.215013, 2011.

M. Aspelmeyer, P. Meystre, and K. Schwab, Quantum optomechanics, Physics Today, vol.65, issue.7, pp.29-35, 2012.

M. Arndt, A. Bassi, D. Giulini, A. Heidmann, and J. Raimond, Fundamental frontiers of quantum science and technology. Procedia Computer Science, vol.7, pp.77-80, 2011.

O. Romero-isart, A. C. Pflanzer, L. Mathieu, R. Juan, N. Quidant et al., Optically levitating dielectrics in the quantum regime: Theory and protocols, Physical Review A, vol.83, issue.1, p.13803, 2011.

O. Romero-isart, A. C. Pflanzer, F. Blaser, R. Kaltenbaek, N. Kiesel et al., Large quantum superpositions and interference of massive nanometer-sized objects, Physical review letters, vol.107, issue.2, p.20405, 2011.

R. Kaltenbaek, G. Hechenblaikner, N. Kiesel, O. Romero-isart, C. Keith et al., Macroscopic quantum resonators (maqro), Experimental Astronomy, vol.34, issue.2, pp.123-164, 2012.
URL : https://hal.archives-ouvertes.fr/hal-01296939

G. C. Ghirardi, P. Pearle, and A. Rimini, Markov processes in hilbert space and continuous spontaneous localization of systems of identical particles, Physical Review A, vol.42, issue.1, p.78, 1990.

M. Schlosshauer, Decoherence and the Quantum-to-Classical Transition, Heidelberg Berlin, 2007.

N. Gisin, The quantum-state diffusion model applied to open systems, Journal of Physics A: Mathematical and General, vol.25, issue.21, p.5677, 1992.

A. Bassi, K. Lochan, S. Satin, T. P. Singh, and H. Ulbricht, Models of wave-function collapse, underlying theories, and experimental tests, Rev. Mod. Phys, vol.85, pp.471-527, 2013.

S. Nimmrichter, K. Hornberger, P. Haslinger, and M. Arndt, Testing spontaneous localization theories with matter-wave interferometry, Phys. Rev. A, vol.83, p.43621, 2011.

S. J. Gerlich, S. Eibenberger, M. Tomandl, S. Nimmrichter, K. Hornberger et al., Quantum interference of large organic molecules, Nature Communications, vol.2, p.263, 2012.

B. Vacchini, On the precise connection between the GRW master-equation and master-equations for the description of decoherence, J. Phys. A, vol.40, pp.2463-2473, 2007.

S. Colin, T. Durt, and R. Willox, Crucial tests of macrorealist and semiclassical gravity models with freely falling mesoscopic nanospheres, Physical Review A, vol.93, issue.6, p.62102, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01555040

G. C. Ghirardi, A. Rimini, and T. Weber, Unified dynamics for microscopic and macroscopic systems, Physical Review D, vol.34, issue.2, p.470, 1986.

D. Paul, . Lett, D. William, . Phillips, C. E. Sl-rolston et al., Optical molasses. JOSA B, vol.6, issue.11, pp.2084-2107, 1989.

A. Kastler, Quelques suggestions concernant la production optique et la détection optique d'une inégalité de population des niveaux de quantifigation spatiale des atomes. application à l'expérience de stern et gerlach et à la résonance magnétique, J. phys. radium, vol.11, issue.6, pp.255-265, 1950.

J. Dalibard and C. Cohen-tannoudji, Laser cooling below the doppler limit by polarization gradients: simple theoretical models, JOSA B, vol.6, issue.11, pp.2023-2045, 1989.

F. Diedrich, J. C. Bergquist, M. Wayne, D. J. Itano, and . Wineland, Laser cooling to the zero-point energy of motion, Physical Review Letters, vol.62, issue.4, p.403, 1989.

J. Ungar, S. David, E. Weiss, S. Riis, and . Chu, Optical molasses and multilevel atoms: theory, JOSA B, vol.6, issue.11, pp.2058-2071, 1989.

Y. Castin, J. Wallis, and . Dalibard, Limit of doppler cooling, JOSA B, vol.6, issue.11, pp.2046-2057, 1989.

C. Cohen, -. Tannoudji, and W. Phillips, New mechanisms for laser cooling, Phys. Today, vol.43, issue.10, pp.33-40, 1990.

Y. Castin and . Dalibard, Quantization of atomic motion in optical molasses, Europhysics Letters), vol.14, issue.8, p.761, 1991.

J. Dalibard and Y. Castin, Laser cooling from the semi-classical to the quantum regime, Frontiers in Laser Spectroscopy, vol.120, pp.445-476, 1992.

W. Theodor, A. L. Hänsch, and . Schawlow, Cooling of gases by laser radiation, Optics Communications, vol.13, issue.1, pp.68-69, 1975.

H. Dj-wineland and . Dehmelt, Proposed 1014??/? laser fluorescence spectroscopy on tl+ mono-ion oscillator iii (side band cooling), Bull. Am. Phys. Soc, vol.20, issue.4, pp.637-637, 1975.

R. P. Feynman and A. R. Hibbs, Quantum Mechanics and Path Integral, 1965.

C. and C. Tannoudji, Leçons du collège de france : Interactions du champ éctromagnétique avec des atomes, 1974.

C. Cohen-tannoudji, J. Dupont-roc, and G. Grynberg, Processus d'interaction entre photons et atomes, 2012.

M. Marciante, Dynamique d'ions en pieges radio-frequences, p.168
URL : https://hal.archives-ouvertes.fr/tel-00641606

, Interplay between decoherence and cooling

C. Champenois, Lecture notes, pp.117-145, 2016.

J. Christopher and . Foot, Atomic physics, vol.7, 2005.

D. Windey, C. Gonzalez-ballestero, P. Maurer, L. Novotny, O. Romero-isart et al., Cavity-based 3d cooling of a levitated nanoparticle via coherent scattering, Physical review letters, vol.122, issue.12, p.123601, 2019.

L. Debroglie, La mécanique ondulatoire et la structure atomique de la matière et du rayonnement, J. Phys. Radium, vol.8, issue.5, pp.225-241, 1927.

. Louis-de-broglie, The wave nature of the electron, Nobel lecture, vol.12, pp.244-56, 1929.

. Louis-de-broglie, An introduction to the study of wave mechanics, 1930.

D. Bohm, A Suggested Interpretation of the Quantum Theory in Terms of "Hidden, Variables. I. Phys. Rev, vol.85, issue.2, pp.166-179, 1952.

D. Bohm, A Suggested Interpretation of the Quantum Theory in Terms of "Hidden, Variables. II. Phys. Rev, vol.85, issue.2, pp.180-193, 1952.

T. Norsen, On the explanation of born-rule statistics in the de broglie-bohm pilotwave theory, Entropy, vol.20, issue.6, p.422, 2018.

D. Bohm and J. Vigier, Model of the causal interpretation of quantum theory in terms of a fluid with irregular fluctuations, Phys. Rev, vol.96, issue.1, p.208, 1954.

A. Valentini, Signal locality, uncertainty and the subquantum H-theorem. I, Phys. Lett. A, vol.156, pp.5-11, 1991.

A. Valentini, On the pilot-wave theory of classical, quantum and subquantum physics, 1992.

A. Valentini and H. Westman, Dynamical origin of quantum probabilities, Proc. R. Soc. A, vol.461, pp.253-272, 2005.

C. Efthymiopoulos, C. Kalapotharakos, and G. Contopoulos, Origin of chaos near critical points of quantum flow, Phys. Rev. E, vol.79, issue.3, p.36203, 2009.

C. Efthymiopoulos, G. Contopoulos, and A. C. Tzemos, Chaos in de Broglie -Bohm quantum mechanics and the dynamics of quantum relaxation, Ann. Fond. de Broglie, vol.42, p.133, 2017.

C. Athanasios-c-tzemos, G. Efthymiopoulos, and . Contopoulos, Origin of chaos near three-dimensional quantum vortices: A general bohmian theory, Physical Review E, vol.97, issue.4, p.42201, 2018.

G. Contopoulos, N. Delis, and C. Efthymiopoulos, Order in de Broglie -Bohm quantum mechanics, J. Phys. A: Math. Theor, vol.45, issue.16, p.165301, 2012.

E. Nelson, Derivation of the schrödinger equation from newtonian mechanics, Physical review, vol.150, issue.4, p.1079, 1966.

D. Bohm and B. Hiley, Non-locality and locality in the stochastic interpretation of quantum mechanics, Physics Reports, vol.172, issue.3, pp.93-122, 1989.

N. Cufaro and P. , Asymptotic behaviour of densities for Nelson processes, Quantum Communications and Measurement, pp.43-52, 1995.

F. Guerra, Introduction to Nelson stochastic mechanics as a model for quantum mechanics, The Foundations of Quantum Mechanics, pp.339-355, 1995.

N. Cufaro-petroni and F. Guerra, Quantum Mechanical States as Attractors for Nelson Processes, Found. Phys, vol.25, issue.2, pp.297-315, 1995.

G. Bacciagaluppi, Nelsonian mechanics revisited, Foundations of Physics Letters, vol.12, issue.1, pp.1-16, 1999.

G. Bacciagaluppi, A Conceptual Introduction to Nelson's Mechanics, Endophysics, time, quantum and the subjective, pp.367-388, 2005.

. Louis-de-broglie, La thermodynamique «cachée» des particules, Annales de l'IHP Physique théorique, vol.1, pp.1-19, 1964.

G. Grössing, Sub-quantum thermodynamics as a basis of emergent quantum mechanics, Entropy, vol.12, issue.9, pp.1975-2044, 2010.

M. Hatifi, R. Willox, S. Colin, and T. Durt, Bouncing oil droplets, de broglie's quantum thermostat, and convergence to equilibrium, Entropy, vol.20, issue.10, p.780, 2018.
URL : https://hal.archives-ouvertes.fr/hal-02437248

M. Labousse, S. Oza, J. W. Perrard, and . Bush, Pilot-wave dynamics in a harmonic potential: Quantization and stability of circular orbits, Physical Review E, vol.93, issue.3, p.33122, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01304851

Y. Couder and E. Fort, Single-particle diffraction and interference at a macroscopic scale, Phys. Rev. Lett, vol.97, p.15410, 2006.

W. John and . Bush, Pilot-wave hydrodynamics, Annu. Rev. Fluid Mech, vol.47, pp.269-292, 2015.

. Louis-de-broglie, Non-linear wave mechanics: A causal interpretation, 1960.

. Louis-de-broglie, Interpretation of quantum mechanics by the double solution theory, vol.12, pp.1-23, 1987.

H. Yang, H. Miao, D. Lee, B. Helou, and Y. Chen, Macroscopic quantum mechanics in a classical spacetime, Physical review letters, vol.110, issue.17, p.170401, 2013.

M. Hatifi, C. Lopez-fortin, and T. Durt, De Broglie's double solution: limitations of the self-gravity approach. Annales de la Fondation Louis de Broglie, vol.43, p.63, 2018.
URL : https://hal.archives-ouvertes.fr/hal-02437240

S. Colin, T. Durt, and R. Willox, Can quantum systems succumb to their own (gravitational) attraction?, Class. Quantum Grav, vol.31, p.245003, 2014.

S. Colin, T. Durt, and R. Willox, Crucial tests of macrorealist and semiclassical gravity models with freely falling mesoscopic nanospheres, Physical Review A, vol.93, issue.6, p.62102, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01555040

L. Diósi, Gravitation and quantum-mechanical localization of macro-objects, Physics Letters A, vol.105, issue.4, pp.199-202, 1984.

D. Giulini and A. Großardt, The schrödinger-newton equation as a nonrelativistic limit of self-gravitating klein-gordon and dirac fields, Classical and Quantum Gravity, vol.29, issue.21, p.215010, 2012.

. Krw-jones, Newtonian quantum gravity, Australian Journal of Physics, vol.48, issue.6, pp.1055-1082, 1995.

C. Moller, The energy-momentum complex in general relativity and related problems, Colloq. Int. CNRS, vol.91, pp.15-29, 1959.

R. Penrose, On gravity's role in quantum state reduction. General relativity and gravitation, vol.28, pp.581-600, 1996.

L. Rosenfeld, On quantization of fields, Nuclear Physics, vol.40, pp.353-356, 1963.

O. Marlan, B. Scully, J. Englert, and . Schwinger, Spin coherence and humpty-dumpty. iii. the effects of observation, Physical Review A, vol.40, issue.4, p.1775, 1989.

M. Czachor, Mobility and non-separability, Foundations of Physics Letters, vol.4, issue.4, pp.351-361, 1991.

B. Mielnik, Phenomenon of mobility in non-linear theories, Communications in Mathematical Physics, vol.101, issue.3, pp.323-339, 1985.

N. Gisin, Weinberg's non-linear quantum mechanics and supraluminal communications, Physics Letters A, vol.143, issue.1-2, pp.1-2, 1990.

J. Polchinski, Weinberg's nonlinear quantum mechanics and the einsteinpodolsky-rosen paradox, Physical Review Letters, vol.66, issue.4, p.397, 1991.

W. Theodor, A. L. Hänsch, and . Schawlow, Cooling of gases by laser radiation, Optics Communications, vol.13, issue.1, pp.68-69, 1975.

H. Dj-wineland and . Dehmelt, Proposed 1014??/? laser fluorescence spectroscopy on tl+ mono-ion oscillator iii (side band cooling), Bull. Am. Phys. Soc, vol.20, issue.4, pp.637-637, 1975.

G. C. Ghirardi, A. Rimini, and T. Weber, Unified dynamics for microscopic and macroscopic systems, Physical Review D, vol.34, issue.2, p.470, 1986.