A well-known phenomenon in both optics and quantum mechanics is the so-called Talbot effect. This near field interference effect arises when infinitely periodic diffracting structures or gratings are illuminated by highly coherent light or particle beams. Typical diffraction patterns known as quantum carpets are then observed. Here the authors provide an insightful picture of this nonlocal phen...

The paper explains why the de Broglie-Bohm theory reduces to Newtonian mechanics in macroscopic classical limit. quantum-to-classical transition is based on three steps: (i) interaction with environment produces effectively factorized states, leading formation of effective wave functions and hence decoherence; (ii) selected by environment--the pointer states decoherence theory--will be well-loc...

We apply methods of quantum mechanics for mathematical modeling of price dynamics at the financial market. The Hamiltonian formalism on the price/price-change phase space describes the classicallike evolution of prices. This classical dynamics of prices is determined by ”hard” conditions (natural resources, industrial production, services and so on). These conditions are mathematically describe...

Ever since we have been in the possession of quantum theories without observers, such as Bohmian mechanics or the Ghirardi–Rimini–Weber (GRW) theory of spontaneous wave function collapse, a major challenge in the foundations of quantum mechanics is to devise a relativistic quantum theory without observers. One of the difficulties is to reconcile nonlocality with relativity. I report about recen...

Bohmian mechanics grounds the predictions of quantum in precise dynamical laws for a primitive ontology point particles. In an appraisal de-Broglie-Bohm theory, paper discusses crucial epistemological and conceptual role that plays within physical theory. It argues theories without fail to make contact with observable reality clear consistent manner. Finally, it Einstein's model why supports ap...

The paper presents an inquiry into the question regarding the compatibility of Bohmian mechanics, intended as a non-local theory of moving point-like particles, with background independence. This issue is worth being investigated because, if the Bohmian framework has to be of some help in developing new physics, it has to be compatible with the most wellestablished traits of modern physics, bac...

We develop an extension of Bohmian mechanics by defining Bohm-like tra-jectories for (one or more) quantum particles in a curved background space-time containing a singularity. Part one, the present paper, focuses on timelike singu-larities, part two will be devoted to spacelike singularities. We use the timelike singularity of the (super-critical) Reissner–Nordström geometry as an example. Whi...

Abstract I argue that Bohmian mechanics (or any similar pilot-wave theory) cannot reasonably be claimed to a deterministic theory. If one assumes the “quantum equilibrium distribution” provided by wave function of universe, requires an external random oracle in order describe (Kolmogorov–Levin–Chaitin) algorithmic randomness properties typical outcome sequences long runs repeated identical expe...