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- Can Non-Local Interferometry Experiments Reveal A Local Model of Matter?Publication . Marto, João; Croca, J. R.In the following we consider the possibility of interpretating non-local interferometric experiments according to the De Broglie causal model. With the help of a simplified mathematical model based on wavelet analysis it is indeed possible to explain it in a causal way. Furthermore we show the distinction between the two formalisms and discuss some experimental conditions that may make these differences evident.
- Non-local interferometry: a causal explanation by means of local wavelet analysisPublication . Marto, João; Croca, J. R.In the following we consider the possibility of interpretating recent non-local interferometric experiments according to the De Broglie causal model. With the help of a simplified mathematical model based on wavelet analysis it is indeed possible to explain it in a causal way. Furthermore we show the distinctions between the two formalisms and discuss some experimental conditions that may make these differences evident.
- Indefinite oscillators and black-hole evaporationPublication . Kiefer, Claus; Marto, João; Moniz, PauloWe discuss the dynamics of two harmonic oscillators of which one has a negative kinetic term. This model mimics the Hamiltonian in quantum geometrodynamics, which possesses an indefinite kinetic term. We solve for the time evolution in both the uncoupled and coupled case. We use this setting as a toy model for studying some possible aspects of the final stage of black-hole evaporation. We assume that one oscillator mimics the black hole, while the other mimics Hawking radiation. In the uncoupled case, the negative term leads to a squeezing of the quantum state, while in the coupled case, which includes back reaction, we get a strong entangled state between the mimicked black hole and the radiation. We discuss the meaning of this state. We end by analyzing the limits of this model and its relation to more fundamental approaches.
- de Broglie–Bohm FRW universes in quantum string cosmologyPublication . Marto, João; Moniz, PauloThe purpose of this paper is to establish possible implications of the de Broglie–Bohm interpretation of quantum mechanics towards superstring cosmological dynamics. In this context, we investigate spatially flat FRW models retrieved from scalar-tensor theories of gravity with a cosmological constant present in the gravitational sector. These models are further characterized by the presence of different types of de Broglie– Bohm quantum potential terms. These are constructed from various classes of wave packets formed by superpositions of Bessel functions of different imaginary orders. As far as pre-big-bang scenarios are concerned, we find that quantum potentials yield varied types of an amplified influence of the singular classical boundary into the FRW early dynamics. Some consequences of the de Broglie–Bohm program towards pre-big-bang inflation and the graceful exit problem are then discussed. Other cosmological scenarios are also studied by means of modulation effects extracted from additional wave packets. We subsequently obtain a broader set of new solutions. Among the new solutions we find that they could still be related by duality properties, although a separation into pre- and post-big-bang classes is less clear. Some solutions show a cyclical behavior. Inflationary solutions can be identified and some of their dynamical features are subsequently analyzed. In particular, we discuss some of the differences between string inspired inflationary cosmologies with quantum potentials. The results suggest that de Broglie–Bohm quantum gravitational terms slow down inflation, constituting an effect similar to others previously described in the literature.
- The Franson experiment revisitedPublication . Marto, JoãoPreviously, the Franson experiment was challenged as a true test of local realism. In this Letter we review this situation and show that this experiment reveals a peculiar behavior when we try to, simultaneously, explain second and fourth order interferences. In order to enhance this idea, a proposed local model is discussed.