A dynamical theory of Markovian diffusion

Davidson, Mark P.

doi:10.1016/0378-4371(79)90007-4

Cited by 42 publications

(54 citation statements)

References 8 publications

(16 reference statements)

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“…de Broglie [55], Bohm et al [56,57], Nelson [58,59], Davidson [60], Dürr et al [61]). If the analogy is sound, this implies that quantum mechanical measurements may not be fast enough to probe subquantum fluctuations.…”

Section: Subquantum Theoriesmentioning

confidence: 99%

Towards a Neo-Copenhagen Interpretation of Quantum Mechanics

Muynck

2004

Foundations of Physics

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The Copenhagen interpretation is critically considered. A number of ambiguities, inconsistencies and confusions are discussed. It is argued that it is possible to purge the interpretation so as to obtain a consistent and reasonable way to interpret the mathematical formalism of quantum mechanics, which is in agreement with the way this theory is dealt with in experimental practice. In particular, the essential role attributed by the Copenhagen interpretation to measurement is acknowledged. For this reason it is proposed to refer to it as a neo-Copenhagen interpretation.

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Section: Subquantum Theoriesmentioning

confidence: 99%

Towards a Neo-Copenhagen Interpretation of Quantum Mechanics

Muynck

2004

Foundations of Physics

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“…Thus the soliton's peak trajectory will be describable by a hidden Markov model [50]. Stochastic mechanics is known to be highly non-unique [51,52], and therefore it is conceivable that it could be equivalent to such a hidden Markov model in some approximation.…”

Section: The Fluid As a Markov Processmentioning

confidence: 99%

The quark-gluon plasma and the stochastic interpretation of quantum mechanics

Davidson¹

2010

Physica E: Low-dimensional Systems and Nanostructures

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Quark-gluon plasmas formed in heavy ion collisions at high energies are well described by ideal classical fluid equations with nearly zero viscosity. It is believed that a similar fluid permeated the entire universe at about three microseconds after the big bang. The estimated Reynolds number for this quark-gluon plasma at 3 microseconds is approximately 10^19. The possibility that quantum mechanics may be an emergent property of a turbulent proto-fluid is tentatively explored. A simple relativistic fluid equation which is consistent with general relativity and is based on a cosmic dust model is studied. A proper time transformation transforms it into an inviscid Burgers equation. This is analyzed numerically using a spectral method. Soliton-like solutions are demonstrated for this system, and these interact with the known ergodic behavior of the fluid to yield a stochastic and chaotic system which is time reversible. Various similarities to quantum mechanics are explored.

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“…Now consider (4) and (8). By fiat, require that the Wiener processes in these two equations be the same.…”

Section: Momentum As a Random Variablementioning

confidence: 99%